Answers
Answer:
a) 3/4
b) 21/4
Step-by-step explanation:
To find the scale factor from A to B take any side of B and divide it by the corresponding side of A
The ratio will be the same for all sides
We have
scale factor = 3/4
We see that the sides 9 and 12 are also in this ratio: 9/12 = 3/4
a) So scale factor from A to B is 3/4
b) w of shape B corresponds to the side with length 7 in shape A
The ratio of w to 7 must be equal to the scale factor
So w/7 = 3/4
w = 7 x 3/4
w = 21/4
Related Questions
Type the correct answer in each box. Use numerals instead of words.
A company manufactures CD drives that sometimes experience disc-read errors. If a CD drive is tested for 250 read operations and fails 4
times, what is the probability that a CD drive will fall? Round your answer to the nearest tenth.
The probability that a CD drive will fail is
%.
Answers
Answer:
P=4/250=0.016
nearest tenth=0.02
1.6%
Use the graph to fill in the blank with the correct number.
f(1) = ________
Numerical Answers Expected!
Answer for Blank 1:
Answers
The value of f(1) by using the attached graph is f(1) = -2.
What is a graph?A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.
Given:
The graph shown in the question is representing the function value,
To find f(1) = ?
The value of f(1) will be equal to the value of x as the graph is linear so,
f(1) = value of y at x = 1
value of y at x = 1 = -2 (From the graph)
Thus, f(1) = -2.
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Marques made a mistake when solving this problem. On what line did he make the error?
Line 1
Line 2
Line 3
Line 4
Line 5
Answers
Answer:
B) Line 2
i hope this work for you
and sory if im wrang
FIND THE AMOUNT TO WHICH $8000 WILL HAVE GROWN AT THE END OF 5 YEARS IF INTEREST IS 10% COMPOUNDED SEMI-ANUALLY?
Answers
The $8000 will have grown to $13,031.16 at the end of 5 years.
To find out how much that 8000 has grown to, we can use the formula for compound interest:
A = P (1 + r/n)^(nt)
A is equal to the total amount (principal + interest)
P = principal or starting amount
r = annual interest rate
n = compound frequency (i.e. how often it is compounded)
t = time (years)
For this question, our principal amount is $8000, the interest rate is 10%, or simply 0.1, the number of compounding periods is 2 since it is semi annually, and the number of years is 5. We can plug in these values into the equation to get the following:
A = 8000*(1 + 0.1/2)^(2*5)
A = 13,031.16
3y - 7 + 5 - 4y + 9y
Answers
Answer:
8y-2
Step-by-step explanation:
3y - 4y = -1y
-1y + 9y = 8y
-7 + 5 = -2
u=(8,-2) and v=(5,-5) what is angle between u and v
Answers
The angle between u and v is approximately 26.6 degrees.
To find the angle between two vectors, u and v, we can use the dot product formula:
u · v = ||u|| ||v|| cosθ
where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.
Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:
u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50
Next, we find the magnitudes of u and v:
||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246
||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071
Substituting these values into the dot product formula:
50 = 8.246 * 7.071 * cosθ
Simplifying, we have:
cosθ = 50 / (8.246 * 7.071) ≈ 0.899
Taking the inverse cosine (arccos) of 0.899, we find:
θ ≈ 26.6 degrees
Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:
u · v = ||u|| ||v|| cosθ
where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.
Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:
u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50
Next, we find the magnitudes of u and v:
||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246
||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071
Substituting these values into the dot product formula:
50 = 8.246 * 7.071 * cosθ
Simplifying, we have:
cosθ = 50 / (8.246 * 7.071) ≈ 0.899
Taking the inverse cosine (arccos) of 0.899, we find:
θ ≈ 26.6 degrees
Therefore, the angle between u and v is approximately 26.6 degrees.
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A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
Answers
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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Rashid left a $11 tip for a $55 restaurant bill. What percent tip did he leave?
Answers
Mrs. Anna has 96 puzzles to share with 14 students. She wants to give each child the same number of puzzles and keep the remaining puzzles in the classroom.
How many puzzles will she have left over?
A
6 puzzles
B
8 puzzles
C
12 puzzles
D
13 puzzles
Answers
Easiest way to calculate this is by removing 12 puzzles from 96 and divide by 14
6*14 + 12
Answer
6
because, 96 / 14 is 6.8
so unless you round it to 8 it should be 6
A member of the sales team earns $10,000 a year as a base salary and 6% commission on sales. A team member made sales totaling $520,000 last year. What was the team member's total pay for the year, including base salary and commission from the sales? screenshot the picture and answer it on the picture and then use it as answer or don't and just answer
Answers
Answer:
41200
Step-by-step explanation:
206) A recipe for cupcakes calls for 3-
3
10
200
7
sugar. Julio accidentally put in 4-
10
How many extra cups did he put in?
cups of
cups.
Answers
Julio accidentally put in an extra 1/10 cup of sugar.
To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).
The difference can be calculated as follows:
Actual amount - Required amount = Extra amount
= 4/10 - 3/10
= 1/10
Therefore, Julio accidentally put in an extra 1/10 cup of sugar.
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fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
Answers
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
I need help on estimation
please show me your working out I don't know what to do
will mark brainiest
Answers
Answer:
The estimate is 601.11984282
hope this helps :)
Answer:
310
Step-by-step explanation:
9.87 = 10 its 10 because 87 is over 50 so its closer to 10
0.509 = 1 50 is close to 100 which is 1
31 times 10 = 310
310 divide by 1
equals 310
Help pls pls pls simplify
Answers
Answer:
Step-by-step explanation:
3g + 4 (-7 + 4g) + 1 -g
(find g)
Answers
Using pended
For the functions f(x) = 3x – 6 and g(x) = 3, (f9) (x) would be equal to:
a) (f9)(x) = 9x2 – 18
b) (f9) (2) = 9x – 18
c) (f9) (2) = x – 2
d) (f9) (x) = 3x – 3
Answers
Help me please I need to get a good grade on this
Answers
Answer: 1,000
Step-by-step explanation: if you multiply the 900 in 157,900 by a 1,000 you get the 900,000 in 901,532.
according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
Answers
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answers
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
approximate the value of 3^3x when x+1 using the first six terms of the Maclaurin expansion
Answers
Answer:
x could be anything but might be 3<4 or 5?8 u really never kno
If I had a point at (-2,-2) and I reflected it across y=1, where would the new point be located
Answers
Answer:
(-2, 4)
Step-by-step explanation:
When you reflect a point over y=1, the location of the new y coordinate must have the same distance away to y=1 as the previous point. (In this case, (1 - - 2) = 3, and 4 - 1 = 3)
Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Answers
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
WHOEVER DOES THIS CORRECTLY WILL GET BRAINILEST
For the expression 6 − y + 3, determine the coefficient for the variable term.
−1
0
3
6
Answers
Answer:
-1
Step-by-step explanation:
Im pretty sure this is the right answer :)
Find the perimeter of the triangle to the right
Answers
9514 1404 393
Answer:
76.5 units
Step-by-step explanation:
This is an interesting question. The side lengths are proportional to the sine of the opposite angle. So, we can find a scale factor for the given length by adding the sines of the angles and dividing by the sine of the angle opposite the given side.
The three angles are ...
43°, 63° and 74° (the supplement of the sum of the other two)
So, the scale factor mentioned above is ...
(sin(43°) +sin(63°) +sin(74°))/sin(74°) ≈ 2.636396
Then the perimeter of the triangle is ...
(2.636396)(29) ≈ 76.5 . . . units
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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A 40-year-old man in the U.S. has a 0.24% risk of dying during the next year . An insurance company charges $290 per year for a life-insurance policy that pays a $100,000 death benefit. What is the expected value for the person buying the insurance? Round your answer to the nearest dollar.
Answers
The answer is 46 dollars
What is the number of cycles of y = 4 sin(2011) + 2 between 0 and 2?
Answers
The given function is
\(y=4sin(2\theta-\frac{11\pi}{6})+2\)Since the angle is 2 theta, then
That means the period is pi instead of pi/2
That means we have 2 cycles from 0 to 2pi
The correct answer is D
from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answers
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
3 (x-3)=6 solve for x
Answers
Answer: x = 5
Step-by-step explanation:
3( x - 3 ) = 6
Divide 3 on both sides
x - 3 = 2
Add 3 on both sides
x = 5
determine x+3 is a factor of P(x)=-2x^3-4x^2-7
Answers
Answer:
p(0)= -7
Step-by-step explanation: