Answer:
97
Step-by-step explanation:
Angle on a straight line = 180
106 + ∠st = 180
∠st = 180 - 106 = 74
x = ∠st + 23
= 74 + 23
= 97
Answer:
51 degrees
Step-by-step explanation:
This is a scalene triangle. Which means it sums up to 180 degrees. Therefore, you have to add up all the degrees to 180. 106+23 is 129, and 180 - 129 is 51.
what pattern do you observe regarding the number of lines of reflection through a regular polygon that will map the polygon onto itself? How does this number relate to the number of lines of symmetry for the same polygon
Answer: the number of sides of a regular polygon is the same as the number of lines of reflection that can map the polygon into itself. The number of lines of symmetry is the same as the number of lines of reflection for mapping. (this is word for word so i suggest rewording)
Step-by-step explanation:
Answer:
The number of sides of a regular polygon is the same as the number of lines of reflection that can map the polygon onto itself. The number of lines of symmetry is the same as the number of lines of reflection for mapping.
Step-by-step explanation:
PLATO
Evaluate the equation: r−7=91
Answer:
The equation is given below as
\(r-7=91\)Concept:
To get the value of r, collect similar terms by adding 7 to both sides
\(\begin{gathered} r-7=91 \\ r-7+7=91+7 \\ r=98 \end{gathered}\)Hence,
The final answer is
\(r=98\)50 Points!!!!!! Triangle ABC is given.
Angle A is labeled two x degrees. Angle B is labeled forty degrees. Angle C is labeled three x degrees.
What is the measure, in degrees, of ∠A?
Enter your answer in the box.
All 3 angles add up to 180 degrees.
so 40 + 2x + 3x = 180
40 + 5x = 180
5x = 140
x = 28
So angle A = 2x = 2(28) = 56 degrees.
Answer: 56°
Step-by-step explanation:
We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.
Given:
2x + 3x + 40 = 180
Combine like terms:
5x + 40 = 180
Subtract 40 from both sides of the equation:
5x = 140
Divide both sides of the equation by 5:
x = 28
Next, we will substitute this value of x into the expression for ∠A.
∠A = 2x = 2(28) = 56°
Which of the following is a horizontal line?
1) y = x
2) x = 4
3) y = 4
4) y = -4x + 1
Answer:
3) y=4
Step-by-step explanation:
Answer:
y=x
Step-by-step explanation:
bcoz in graph work its normally y=x
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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4x - 4 < 8
AND 92 +5 > 23
Answer:
1. x<3
2. True
Step-by-step explanation:
1. 4x - 4 < 8
4x<8+4
4x<12
x<3
2. 92 +5 > 23
97>23
True
The 127 students touring a museum are separated into 3 groups of closely the same size. Which is the best estimate for the number of students in each group?
Answer:
42
Step-by-step explanation:
find (f+g) and (f-g)(x) for f(x)=10x^2+8 and g(x)=2-5x
The requied solution are (f+g)(x) = 10x² + 10 - 5x and (f-g)(x) = 10x² + 6 + 5x.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The functions are given in the question, as follows:
f(x) = 10x² + 8 and g(x) = 2 - 5x
To find (f+g)(x) we add f(x) and g(x) term by term.
(f+g)(x) = f(x) + g(x)
Substitute the values of given functions, and we get
(f+g)(x) = 10x² + 8 + (2 - 5x)
(f+g)(x) = 10x² + 10 - 5x
To find (f-g)(x) we subtract g(x) from f(x) term by term.
(f-g)(x) = f(x) + g(x)
(f-g)(x) = 10x² + 8 - (2 - 5x)
(f-g)(x) = 10x² + 6 + 5x
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directions: solve each equation below and type your answer in the “answer” (next to the question) column. Type all in answers in decimal form.
Answer:
4. x=48
5. x=241
6. x=43
7. x=173
9.x=94
10. x=17
Step-by-step explanation:
Need help ASAP What’s the area of a sum
Simplify the expression: 7(5 − 3h)
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{45 - 21h}}}}}\)
Step-by-step explanation:
\( \sf{7(5 - 3h)}\)
Distribute 7 through the parentheses
\( \dashrightarrow{ \sf{7 \times 5 - 7 \times 3h}}\)
\( \dashrightarrow{ \sf{45 - 21h}}\)
Hope I helped!
Best regards! :D
Answer:
14h
Step-by-step explanation:
7(5-3h)
you do distributive property on the first step.
35-21h
then you subtract the two.
14h is your answer.
Select all solutions to M•M•M=729
The solution to the equation given by M * M * M = 729 is 9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
Given the equation:
M.M.M = 729
This gives:
M * M * M = 729
M³ = 729
Taking the cube root of both sides:
∛M³ = ∛729
M = 9
The solution to the equation is 9
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Write the equation −x+3y=6 in slope-intercept form. Then graph the line described by the equation.
Please help fast ?
Answer:
y=x/3+2
Step-by-step explanation:
Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
3y=x+6
We need y so we divide both sides by 3 and we get
y=x/3+2
Answer:
y=1/3 + 2
Step-by-step explanation:
-x+3y=6
add x to both sides (if you add the same amount to both sides, the equation is still equal)
3y=-x+6
divide the whole thing by 3
y=1/3 + 2
so basically your slope is 1/3. That means you rise one, over three.
Plot a point at 2 on the y axis, which is the vertical line on the graph.
Go up one box, and then go right 3 and plot another point.
Keep doing the rise 1 over 3 until you have enough points for a line. 2 points should do, but more points on a graph = a better line.
By the way, slope-intercept form is y=mx+b.
m = slope (steepness of line, 1/3) b = y-axis intercept (the place that the line touches the y axis)
If you're still stuck with linear equations, take your equation and put it into Desmos graphing calculator, which can be found with a simple search.
Thanks, friend,
- throckmorton
please help me out!!
Step-by-step explanation:
Given
f(x) = 2x - 4
Then
f(2) = 2 * 2 - 4
= 4 - 4
= 0
Therefore f(2) = 0 .
Hope this helps :)
Three forces of 300 N in the direction of N30E, 400N in the direction of N60E and
500N in the direction of N80E are acting on an object. Calculate the resultant force.
Split up each force into horizontal and vertical components.
• 300 N at N30°E :
(300 N) (cos(30°) i + sin(30°) j)
• 400 N at N60°E :
(400 N) (cos(60°) i + sin(60°) j)
• 500 N at N80°E :
(500 N) (cos(80°) i + sin(80°) j)
The resultant force is the sum of these forces,
∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i
… … … + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N
∑ F ≈ (546.632 i + 988.814 j) N
so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.
Carson and his children went into a restaurant where they sell hamburgers for $6 each and tacos for $2.50 each. Carson has $65 to spend and must buy a minimum of 12 hamburgers and tacos altogether. If Carson decided to buy 8 tacos, determine the maximum number of hamburger that he could buy.
What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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3.) If a search engine on the internet can return 2.87 x 10 results in one second, how many
results can be expected after one minute?
Answer:
You can expect 1,722 results in one minute.
Step-by-step explanation:
Graham decided to play football this year instead of getting a part-time job. Last year he made about $1,100 during football season. He also spends about $9 on eating out after each game. His team plays a 10-game season. What is his opportunity cost of playing football?
10,091 because it's a 10 season football season and he spends 9 dollars every game
Step-by-step explanation:
ez
The opportunity cost of playing football for Graham is $1,190.
What is the Opportunity cost?The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.
Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.
Therefore, the opportunity cost of playing football for Graham is,
Opportunity cost
= Amount that Graham would have made in a part-time job + Total cost of playing football season
= $1,100 + (Number of games × Amount spend in a single game)
= $1,100 + (10×$9)
= $1,100 + $90
= $1,190
Hence, the opportunity cost of playing football for Graham is $1,190.
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witch angle is adjacent to <6
Answer:
Step-by-step explanation:
Angles <5 and <1 are adjacent to <6.
Adjacent angles refer to those angles that share a common side and common vertex but at the same time, not overlap with each other. In this question , angle <6 is sharing a side and a common vertex with <5 and <1 without overlapping each other. Therefore, we can say that the angles are adjacent to each other.
Similarly, if we were supposed to find the adjacent angles of <1, then, the adjacent angles would be angles <6 and <2, as they are sharing the same side and common vertex with that of <1, and are not overlapping each other.
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Diego measured the diameter and circumference of several circular objects and recorded his measurements in the table.one of his measurements is inaccurate. Which measurements is it? Explain how you know
Answer:flying disc
Step-by-step explanation:
Because you times 23 by 3.14 to get the circumference
You should know this because you are in college and I’m in seventh grade
If the diameter of a circular object is 'd' units, circumference of the object will be represented by,
Circumference = \(\pi d\)
Now we will evaluate the circumferences of the different objects by the given measures of the diameters.
For Half dollar coins,
\(C=\pi (3)\)
\(\approx 10\) cm
For a flying disc,
\(C=23\pi\)
\(\approx 72\) cm
For a jar lid,
\(C=8\pi\)
\(\approx 25\) cm
For a flowerpot,
\(C=15\pi\)
\(\approx 48\) cm
Therefore, circumference of a flying disc is not correct.
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Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped
Solve for x:
5x - 14 = 8x + 4
Answer:
-6
Step-by-step explanation:
I’m failing I’m in 9th Grade, I’m doing several step equations and I’m not fully understanding, if anyone could help me solve this equation, Thank you!!
Solve the equation below, combining like terms first
9d+1d-3d=14
To solve this I need to combing the like terms first... I think .
Also if you do help me, which thank you to anyone who does, I need to know how you done it bc I have to show work on paper.
Again thank you to anyone who helps me. I’m just trying to make it through life at this point.
Happy Halloween as well!
Answer:
The answer is d=2. (if your solving for d)
Step-by-step explanation:
Alright, so you said you combine like terms. First, combine 9d+1d.
9d+1d-3d=14 ---> 10d-3d=14
Now, do 10d-3d.
10d-3d=14 ---> 7d=14
Now, you have to divide both sides by 7.
7d=14 ---> d=2
You get your answer as d=2.
I hope this helps!
170 foot cable is to be cut into four pieces. Find the length of each piece is 3 feet longer than the previous one.
Answer:
38 ft, 41 ft, 44 ft, 47 ft
Step-by-step explanation:
let the first piece be x, then
second piece = x + 3
third piece = x + 3 + 3 = x + 6
fourth piece = x + 6 + 3 = x + 9
sum the 4 together and equate to 170
x + x + 3 + x + 6 + x + 9 = 170, that is
4x + 18 = 170 ( subtract 18 from both sides )
4x = 152 ( divide both sides by 4 )
x = 38
Thus
first piece = x = 38 ft
second piece = x + 3 = 38 + 3 = 41 ft
third piece = x + 6 = 38 + 6 = 44 ft
fourth piece = x + 9 = 38 + 9 = 47 ft
Can someone help me with these ;)))
Answer:
1st question answer is 3xy(x-3y+4xy)
2nd question answer is (2+y) (x+3)
hope it helps
What is the image point of (8,-3) after a translation right 5 units and down 5 units?
Answer: (13, -8)
Step-by-step explanation:
Subtract 5 from -3
Add 5 to 8
please help khan academy
The inequality represented by the graph is given as follows:
y > 3x - 4.
How to define a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:
b = -4.
When x increases by 1, y increases by 3, hence the slope m is given as follows:
m = 3.
Hence the equation of the line is:
y = 3x - 4.
The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:
y > 3x - 4.
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Find S9, the sum of the geometric series to the 9th term, in which a3=3.645 and a8=15
Answer:
The sum of the first nine terms of the sequence is 74.44.
Step-by-step explanation:
Geometric sequence concepts:
The nth term of a geometric sequence is given by the following equation.
\(a_{n+1} = ra_{n}\)
In which r is the common ratio.
This can be expanded for the nth term in the following way:
\(a_{n} = a_{1}r^{n-1}\)
In which \(a_{1}\) is the first term.
Or even:
\(a_{n} = a_{m}r^{n-m}\)
The sum of the first n terms of a geometric sequence is given by:
\(S_{n} = \frac{a_{1}(1 - r^{n})}{1 - r}\)
Finding the common ratio:
\(a_{3} = 3.645, a_{8} = 15\)
\(a_{n} = a_{m}r^{n-m}\)
\(a_{8} = a_{3}r^{8-3}\)
\(a_{3}r^{5} = a_{8}\)
\(3.645r^{5} = 15\)
\(r^{5} = \frac{15}{3.645}\)
\(r = \sqrt[5]{\frac{15}{3.645}}\)
\(r = 1.327\)
Finding the first term:
\(a_{3} = a_{1}r^{2}\)
\(a_{1} = \frac{a_{3}}{r^{2}}\)
\(a_{1} = \frac{3.645}{(1.327)^{2}}\)
\(a_{1} = 2.07\)
Sum of the first nine terms:
\(S_{9} = \frac{2.07*(1 - (1.327)^{9})}{1 - 1.327} = 74.44\)
The sum of the first nine terms of the sequence is 74.44.
Answer:
S₉ = 9.84
Step-by-step explanation:
In a geometric series, the general formula for nth term is:
an = a₁rⁿ⁻¹
where,
an = nth term
a₁ = first term
r = common ratio
From this formula, we have:
a₃ = a₁r² = 3.645 --------- equation (1)
a₈ = a₁r⁷ = 15 ----------- equation (2)
dividing both of these equations, we get:
a₁r⁷/a₁r² = 15/3.645
r⁵ = 4.115
r = (4.115)^1/5
r = 1.33
Now, put this value in equation (1), we get:
a₁(1.33)² = 3.645
a₁ = 0.27
Now, the formula for the sum of geometric series upto nth term is:
Sn = a₁(rⁿ - 1)/(r - 1)
therefore,
S₉ = (0.27)(1.33⁹ - 1)/(1.33 - 1)
S₉ = 9.84
How much would you have to deposit today to have an accumulated amount of 20,000 in 20 years if yearly interest is 4.75% compounded continuously?