Answer:
Monomial, degree is 5
Step-by-step explanation:
Each of these parts is
1/2
of a different whole.
Which is part of the largest whole?
(please do not delete this question!)
Answer:
C
Step-by-step explanation:
Since C is the largest half, then C is part of the largest whole.
Answer: C
b. Logan continues the game with this clue: “My decimal is 3 hundredths less
than 3 tenths." Use pictures and/or words to show your thinking.
Answer:
Step-by-step explanation:
Three tenths is 3/10 or 30/100 so if we take three hundreds from this it is 27 over hundred ( 27/100).
An old road was 3.9 miles long. After a renovation it is 7.8 miles long. How many times as long is the road after the renovation than before?
Answer:
2 times. 3.9x2=7.8
Step-by-step explanation:
3+3=6
0.9+0.9=1.8
6+1.8=7.8
What is the sum of the rational expression below? x-4/2x+3x/2x-1
The sum of the rational expression (x - 4)/2x + 3x/2x - 1 is given as follows:
(4x - 4)/2x - 1.
How to add the rational expressions?The rational expression for this problem is defined as follows:
(x - 4)/2x + 3x/2x - 1
The fractions (x - 4)/2x and 3x/2x have the same denominator, hence we can add the numerators keeping the denominator constant, as follows:
(x - 4 + 3x)/2x = (4x - 4)/2x.
Subtracting the rational 1 at the end of the answer, the simplified expression is given as follows:
(4x - 4)/2x - 1.
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Answer:
\(\frac{8x^2-9x+4}{4x^2-2x}\)
Just did it, 100% correct :)
Calculate the distance between the points P=(1, -1) and N=(5, -8) in the coordinate plane.
Round your answer to the nearest hundredth.
PLEASE PLEASE HELP ME
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)
on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751
The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.
The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.
2. 7 x 6000 = 42,000.
To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.
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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.
In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.
Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.
2. 7 x 6000 = 42,000.
We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.
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3. How many different numbers can be created by selecting 4 of the digits from the number 8712395?
840 different numbers can be created selecting 4 of the digits from the number
How many different numbers can be created selecting 4 of the digits from the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 8712395
Digits = 4
The count of digits in the number is 7
Using the above as a guide, we have the following:
First digit = any of the 7second digit = any of the remaining 6Third digit = any of the remaining 5Fourth digit = any of the remaining 4So, we have
Numbers = 7 * 6 * 5 * 4
Evaluate
Numbers = 840
Hence, 840 numbers can be formed
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N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Answer: According to the problem, N Heracio used the computer for 40 hours last week. We are asked to find the difference between the time spent on shopping online and doing homework.
To do this, we first need to find the amount of time spent on each activity. We can do this by multiplying the total computer time by the percentage of time spent on each activity:
Time spent on videos = 10% of 40 hours = 4 hours
Time spent on homework = 15% of 40 hours = 6 hours
Time spent on games = 20% of 40 hours = 8 hours
Time spent on social media = 25% of 40 hours = 10 hours
Time spent on shopping online = 20% of 40 hours = 8 hours
Therefore, Heracio spent 6 hours on homework and 8 hours on shopping online.
The difference between these two amounts is:
6 hours - 8 hours = -2 hours
This means that Heracio spent 2 hours more on shopping online than on doing homework.
Step-by-step explanation:
Find the area of each triangle with the given heights and bases. a. h = 6 inches; b = 10 inches b. h = 9 centimeters; b = 4 centimeters c. h = 13 yards; b = 20 yards The triangular top of an end table has a height of 32 centimeters and a base of 40 centimeters. What is the surface area of the top of the table? A Triangle Sondra wants to put a fence in a triangular area of her backyard as shown in the illustration. The fence will enclose a right triangle, with two of the sides measuring 8 yards and 15 yards long. How long will the third side of the triangle be? A Shape Susan has a flower bed that is shaped like a right triangle. Both sides of the right angle are six feet long. What is the length of the missing side? A Shape Use the Pythagorean theorem to find the length of each missing hypotenuse below. Remember: if the answer isn’t a perfect square, you can leave it in the square root form. Varies Shapes
The area of the first, second, and third is a triangle30square in,18 square cm,130 Square yards the surface area of the triangular top of the end table is 640 square centimetres the length of the third side of the triangle is 17 yards the length of the missing side of the right triangle is 6√2 feet.
According to the given information:
a. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore, for the first triangle:
A = (1/2)(10 in)(6 in) = 30 square inches
b. For the second triangle:
A = (1/2)(4 cm)(9 cm) = 18 square centimeters
c. For the third triangle:
A = (1/2)(20 yd)(13 yd) = 130 square yards
d. The surface area of the triangular top of the end table is also given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore:
A = (1/2)(40 cm)(32 cm) = 640 square centimeters
e. Using the Pythagorean theorem, we can find the length of the third side of the right triangle:
c² = a² + b²
c² = 8² + 15²
c² = 289
c = √289
c = 17 yards
Therefore, the length of the third side of the triangle is 17 yards.
f. Using the Pythagorean theorem, we can find the length of the missing side of the right triangle:
c² = a² + b²
c² = 6² + 6²
c² = 72
c = √72
c = 6√2 feet
Therefore, the length of the missing side of the right triangle is 6√2 feet.
g. The length of the missing hypotenuse can be found using the Pythagorean theorem:
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5
Therefore, the length of the missing hypotenuse is 5.
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Answer:
a. a2 + b2 = c2
a2 + (12 in.)2 = (20 in.)2
a2 + 144 sq. in. = 400 sq. in.
a2 = 144 sq. in. – 144 sq. in. = 400 sq. in. – 144 sq. in.
a2 = 256 sq. in.
√a2 = 256 sq. in.
a = 16 in.
Answer: The length of the missing side is 16 inches.
b. a2 + b2 = c2
(7 cm)2 + b2 = (25 cm)2
49 cm2 + b2 = 625 cm2
49 cm2 – 49 cm2 + b2 = 625 cm2 – 49 cm2
b2 = 576 cm2
√b2 = √576 cm2
b = 24 cm
Answer: The length of the missing side is 24 centimeters.
c. a2 + b2 = c2
(8 yd.)2 + (15 yd.)2 = c2
64 sq. yd. + 225 sq. yd = c2
289 sq. yd. = c2
√289 sq. yd. = √c2
17 yd. = c
Answer: The third side of the fence will be 17 yards long.
Step-by-step explanation:
Help please 10 points
Answer:
1, -2, -4, -6, -6.9, -6.99, -6.999
A vector U has initial point (-3,-2) and terminal point (-6,1) .
Write U in component form.
Answer:
<-3,3>
Step-by-step explanation:
A rectangular fish tank is 70 cm long, 40 cm wide, and 30 cm high.
I) How many cubic centimeters of water will the tank hold?
II) How many milliliters of water will the tank hold?
III) How many liters of water will the tank hold?
A.84,000 cubic centimeters; 8,400 milliliters; 84 liters
B.84,000 cubic centimeters; 84,000 milliliters; 840 liters
C.84,000 cubic centimeters; 840,000 milliliters; 840 liters
D.84,000 cubic centimeters; 84,000 milliliters; 84 liters
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
I) To find the volume of the fish tank in cubic centimeters, we can use the formula for the volume of a rectangular prism:
volume = length * width * height
Plugging in the given values, we get:
volume = 70 cm * 40 cm * 30 cm = 84000 cm^3
So the fish tank will hold 84000 cubic centimeters of water.
II) To find the volume of the fish tank in milliliters, we can first convert the volume in cubic centimeters to liters, then convert the volume in liters to milliliters. One liter is equal to 1000 milliliters, so to convert from cubic centimeters to milliliters, we need to divide the volume in cubic centimeters by 1000.
The volume of the fish tank in liters is 84000 cm^3 / 1000 cm^3/liter = 84 liters.
The volume of the fish tank in milliliters is 84 liters * 1000 ml/liter = 84000 ml.
So the fish tank will hold 84000 milliliters of water.
III) To find the volume of the fish tank in liters, we can convert the volume in cubic centimeters to liters using the conversion factor 1 liter = 1000 cm^3.
The volume of the fish tank in liters is 84000 cm^3 / 1000 cm^3/liter = 84 liters.
So the fish tank will hold 84 liters of water.
Based upon these results, how many two-dozen tulip arrangements should the florist expect to sell if it anticipates 4,600 more customers?
Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.
To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.
Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.
To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.
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Write the sentence as an equation z and 40 more is the same as 344
4. Snyder’s Moving company has two segments of customer: Small Business (SB) and Residential. 10% of Snyder’s 2,200 clients fall into both categories, using Snyder’s as their mover of choice for both their business and personal needs. The remaining clients are split evenly between segments. A client who falls into one category will use Snyder’s once every 3 years. Clients who fall into both categories use Snyder’s twice every 3 years. SB moves cost 15% more to the clients than Residential moves due to additional insurance costs for Snyder’s. The average profit Snyder’s makes per move, regardless of which type, is $260. Snyder recently launched a marketing campaign to all SB-only clients to encourage them to use Snyder’s for residential moves. 10% of recipients decided to do so. Assuming the campaign cost $500 to execute, how profitable was it?
$12,480
$25,240
$50,480
$56,240
If the campaign of Snyder’s Moving company costs $500 to execute, it has been computed that the profit will be C. $50,480.
How to calculate the profit?Firstly, the customer base will be:
= 50% × [2200 - (10% × 2200)]
= 50% × (2200 - 220)
= 990
The increase in customers will be:
= 10% × 990
= 99
The additional profit will be:
= [(99 × $260) - $500] × 2
= ($25740 - $500) × 2
= $50480
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Answer:
10% SB clients will move due to the promotion. The Profit will be $25,240
Step-by-step explanation:
Find the number of clients in both SB and personal:
10% x 2200 = 220
Find the number of SB clients:
(2200 - 220)/2 = 990 ( the rest of clients will be evenly splitted)
Find the number of SB clients who will move:
10% x 990 = 99
Find the profit due to the move: (Number of ppl moved x Average Profit - Initial Investment)
99 x $260 - $500 = $25,240
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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What is the value of x?
The value of x in one of the angles of the segment x - 49° is 84 since angles in the same segment of a circle are equal.
What is a Circle?A circle is a two dimensional shape consisting of set of all the points which are at equal distance from a point called the center of the circle.
Segment of a circle is the part of a circle which is formed by a chord and the arc joining the end points of the chord.
Given is a circle which can be divided into two segments by the points R and Q.
We have a theorem that, "angles in the same segment of a circle are equal."
So, ∠QSR = ∠QTR
35° = x - 49°
x = 35 + 49
x = 84
Hence the value of x is 84.
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In triangle JKL, if angle J is seven less than angle L and angle K is 21 less than twice angle L, find the measure of each angle
Answer:
j=45 k=83 L=52
Step-by-step explanation:
j=x-7
k=2x-21
L=x
x-7+2x-21+x=180
4x-28=180
4x=208
x=52
The measure of the angles are; J = 48, K = 57 and L = 75
What is linear pair?Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
In order to determine the measure of these angles, we have to set J as x. then find the measure of all of these angles.
J = x
K = x + 9
L = 2x - 21
Now, we can add them all together and set equal to 180;
x + x + 9 + 2x - 21 = 180
4x - 12 = 180
4x = 192
x = 48
Now that we have;
J = x = 48
K = x + 9 = 48 + 9 = 57
L = 2x - 21 = 2(48) - 21 = 96 - 21
L = 75
Hence, The measure of the angles are; J = 48, K = 57 and L = 75
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Write the domain and range for the following functions using interval notation, inequality notation, and set builder notation
Domains
Interval Notation:
Inequality Notation:
Set Builder Notation:
Range:
Interval Notation:
Inequality Notation:
Set Builder Notation:
Domain:
Interval Notation:
Inequality Notation:
Set Builder Notation:
Range:
Interval Notation:
Inequality Notation:
Set Builder Notation:
The domain and the range for each function, considering the three notations, are given as follows:
1.
Domain:
Interval Notation: (-∞, ∞).Inequality Notation: All real numbers.Set Builder Notation: {x | x ∈ R}.Range:
Interval Notation: [-4, ∞).Inequality Notation: y >= -4.Set Builder Notation: {y | y >= -4}2.
Domain:
Interval Notation: (-∞, ∞).Inequality Notation: All real numbers.Set Builder Notation: {x | x ∈ R}.Range:
Interval Notation: [-4, ∞).Inequality Notation: y >= -4.Set Builder Notation: {y | y >= -4}How to obtain the domain and the range of a function?The domain of a function is the set containing all the input values of a function, hence on the graph it is given by the values of x for which the function is defined.
The range of a function is the set containing all the output values of a function, hence on the graph it is given by the values of y which the function assumes.
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5. The surface area of a cuboid is 518 cm².
The breadth of the cuboid is 11 cm and its
height is 9 cm. Find the length of the cuboid.
The correct answer is 8 cm.
Given the surface area = 518 cm²
breadth of the cuboid = 11 cm
height of the cuboid = 9 cm
Now let l be the length of the cuboid,
The total surface area (TSA) of a cuboid is provided by the sum of the areas of its six rectangles, where l, b, and h are the length, width, and height, respectively
Cuboid's total surface area formula,
Thus the surface area of the cuboid = 2(lb+bh+lh)
518 = 2 ( l × 11 + 11 × 9 + l × 9 )
518 = 2 (11l + 99 + 9l)
259 = 11l +99 +9l
259 - 99 = 20 l
160/20 =l
length = 8 cm
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(a) The number of terms in an arithmetic progression is 40 and the last is -54. Given that the sum of the 15 terms added to the sum of the first 30 terms is zero. Calculate (1) The first term and common difference, (ii) the sum of the progression.
(i) The first term (a) is 24 and the common difference (d) is -2.
(ii) The sum of the progression is 2520.
i) Finding the first term and common difference:
Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).
The nth term formula is: An = a + (n-1)d
Using the given information, we can substitute the values:
-54 = a + (40-1)d
-54 = a + 39d
We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:
S15 + S30 = 0
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values for S15 and S30:
[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0
Simplifying the equation:
15(2a + 14d) + 30(2a + 29d) = 0
30a + 210d + 60a + 870d = 0
90a + 1080d = 0
a + 12d = 0
a = -12d
Substituting this value into the equation -54 = a + 39d:
-54 = -12d + 39d
-54 = 27d
d = -2
Now we can find the value of a by substituting d = -2 into the equation a = -12d:
a = -12(-2)
a = 24
Therefore, the first term (a) is 24 and the common difference (d) is -2.
ii) Finding the sum of the progression:
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values:
S40 = (40/2)(2(24) + (40-1)(-2))
S40 = 20(48 - 39(-2))
S40 = 20(48 + 78)
S40 = 20(126)
S40 = 2520
Therefore, the sum of the arithmetic progression is 2520.
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A scientist has two solutions what she has labeled solution a and solution b each contains salt she knows that solution a is 60% salt and solution b is 85% salt she wants to obtain 70 ounces of a mixture that is 80% salt how many ounces of each solution should she use
Solving a system of equations we can see that:
She needs to use 56 oz of the 85% solution.She needs to use 14 oz of the 60% solution.How many ounces of each solution should she use?We can use the variables:
x = mass of the 60% solution.
y = mass of the 85% solution.
We can write a system of equations.
x + y = 70
x*0.6 + y*0.85 = 70*0.8
We can isolate x on the first equation to get:
x = 70 - y
Replace that in the other one:
(70 - y)*0.6 + y*0.85 = 70*0.8
Now we can solve this for y.
y*0.25 = 70*0.8 - 70*0.6
y = 14/0.25 = 56
Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.
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Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below. Darius’s scores: 96, 54, 120, 87, 123 Barb’s scores: 92, 98, 96, 94, 110 Barb says that she is the winner. Darius says that it is a . Who is correct? Barb is correct if both the mean and median scores are considered. Barb is correct if only the median score is considered. Darius is correct if both the mean and median scores are considered. Darius is correct if only the median score is considered.
Answer:
D
Step-by-step explanation:
Barb says shes the winner. Darius says its a tie. These claims are based off of the mean, the median, or both. Calculate the mean and find the median to find the right answer.
Darius
The mean is 96, and the median is 96.
\(\frac{96 +54+120+87+123}{5} =96\)
54 87 96 120 123
Barb
The mean is 98, and the median is 96.
\(\frac{92+98+96+94+110}{5}=98\)
92 94 96 98 110
Now, look at the answer choices and pick the one that matches the results.
A) Wrong. Barb is correct if only the means is considered. She has a larger mean but an equal median.
B) Wrong. If the median is only considered, then Darius is correct, not Barb.
C) Wrong. Darius is only correct if the median is considered. If both are considered, then there is conflict.
D) Correct. Darius is correct of only the median is considered.
Answer: I think its D.
Step-by-step explanation:
Im currently taking the quiz right now. Ill change it if its wrong.
15.3
21. A squirrel is standing on the branch of a tree. The angle of elevation from a point on the ground to the squirrel
is 48°. The ground distance from the point to the tree is 28ft. How high above the ground is the squirrel?
Round your answer to the nearest foot.
48⁰
28 ft
21
Answer:
The height of the squirrel is 31 feet.
Step-by-step explanation:
You need to know your Right Triangle Trigonometry to do this problem.
Rt Triangle trig is all about ratios. Angles and ratios.
In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.
tan Angle = opposite/adjacent
tan 48° = x/28
multiply both sides by 28
28•tan48° = x
You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"
Enter 28 × tan48° =
It will return 31.0971504152
Your question asks you to round to the nearest whole.
x = 31
The squirrel's height in the tree is 31ft.
8. A baseball is thrown from a height of 40 feet and goes up at a rate of 2.5 feet per second. A football is
thrown from a height of 25 feet and goes up at a rate of 3 feet per second. After how many seconds
would the two reach the same height?
The time taken depends upon velocity and distance so the time taken by both balls to reach the same height will be 30 seconds.
What is velocity?Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.
Units of velocity are given by ⇒ meter/second
For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.
Difference between their initial height = 40 - 25 = 15 feet
It means if baseball cover x feet distance then football will cover x + 15 feet.
Now,
Time = distance covered / velocity
Since the time will be the same for both balls to meet them.
So,
Distance covered by baseball/velocity of baseball = Distance covered by football/ velocity of football
x/2.5 = (x + 15)/3
3x = 2.5x + 37.5
0.5x = 37.5
x = 75
So,
Time taken = 75/2.5 = 30 seconds.
Hence "After 30 seconds both balls will go to reach the same height".
To learn more about velocity,
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An individual is baking 3 batches of cookies. They used 1.8 oz. of vanilla in one batch of the cookies, 1.25 oz. of vanilla in the second batch and .95 oz. in the third batch. Convert these decimals into fractions, and then put them in ascending order.
Answer:
19/20 , 1 1/4 , 1 4/5
Step-by-step explanation:
1.8 = 1 4/5 (fraction)
1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5
1.25 = 1 1/4 (fraction)
1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4
0.95 = 19/20 (fraction)
0.95 converts to 95/100. This can be simplified to 19/20
Ascending Order (smallest to largest)
smallest - 19/20
middle - 1 1/4
largest - 1 4/5
I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure
Use substitution to solve the system.
X = 2y +6
2x + 5y = 3
4) A car is 150 inches long. A truck la 75% longer than the car How long is om the truck?
Answer:
262.5 inches
Step-by-step explanation:
All we need to do is 75% of 150, which is 112.5, then add it to 150 to get our answer!
Simplify.
2
5x² - 7x + 3
-
10
+ 8x² + 9x
I need help
Answer:
621 i guess
Step-by-step explanation:
18x² + 2x² - 7
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Is the point (-255,76) on the line shown below
Answer:
yes it's is shown in the diagram below and prosperity more than your expectation for me too anymore I just