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Answer:

A) 29

Step-by-step explanation:

Step 1: Find angle G

Since Sin(θ) = Opposite over Hypotenuse:

[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ

θ = 33.896°

Now repeat for just the smaller triangle:

[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]

The table and graph that represents the equation y = 3x are:

Table A

Graph B.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

y = 3x

This means,

For x = 0, 1, 2, 3,

y = 0, 3, 6, 9

Now,

The coordinates on the graph of the equation y = 3x will have:

(0, 0), (1, 3), (2, 6), and (3, 9)

We see that,

Graph A has the coordinates:

(0,3).

This is not possible.

And,

Table B has y = 1 when x = 3.

This is not possible.

Thus,

The table and graph that represents the equation y = 3x are table A and graph B.

Learn more about equations here:

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Answer:

Step-by-step explanation:

The general equation of the circle

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Center = c = (h,k) , radius = r

if C = (0,0) , r = 3

The equation will be :

(x-0)^2+(y-0)^2=3^2

[tex]x^2+y^2=9[/tex]

Answer:

Step-by-step explanation:

The teacher has 7/8 pounds of clay given.

gives out 1/16 per station

7/8= 0.875 pound

7/8 / 1/16 pound= 14 maximum stations

14 stations divided by 2 classes = 7 in each room

Answer:

1/10

Step-by-step explanation:

First, you have to get common denominators, so we will use 10. She read 5/10 in the morning, so that is 5/10 of the book left. 2/5 = 4/10 left, so if you added those two numbers up, you only get 9/10. So this means that she read 1/10 at night. I hope this helps!

Answer:

312

Step-by-step explanation:

8 x 3 = 24

24 x 13 = 312

Given:

In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.

To find:

The value of cos(M).

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Draw a diagram using the given information.

In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,

[tex]\cos (M)=\dfrac{MN}{MO}[/tex]

Therefore, the correct option is B.

Answer:

it is b

Step-by-step explanation:

Answer:

Diagram 2, 12 foul balls

Step-by-step explanation:

12/3=4

12-4=8

Answer:

25/64

Step-by-step explanation:

do what's inside parentheses first

-3/8 - 2/8 = -5/8

-5/8(-5/8) = 25/64

Answer:

y = 2

Step-by-step explanation:

y varies inversely with x setup is:

y = k/x

7 = [tex]\frac{k}{2/3}[/tex]  (find 'k')

k = 7/1 · 2/3

k = 14/3

use what you know about 'k' and 'x' to solve for 'y'

y = 14/3 ÷ 7/3  (remember to multiply by the reciprocal when dividing fractions)

y = 14/3 · 3/7

y = 2

Step-by-step explanation:

y2 - y1 / x2 - x1  

2 = 5 - y / (3 - 1)

4 = 5 - y

y = 1

So the line with slope 2 passes through the points (1,1) and (3,5).

Hope this helps!

Answer:

Initial value

Step-by-step explanation:

Initial value never changes, whatsoever.

Slope is either a constant increase or decrease.

Unit rate, rate of change, and "per" all describe a rate at a certain point which is always fluctuating.

Answer:

Initial value

Step-by-step explanation:

The initial value is the y-intercept.

Answer:

5x + 6y + 1

Step-by-step explanation:

Answer:

4 1/4

Step-by-step explanation:

divide 255 by 60

Answer:

5 bugs

Step-by-step explanation:

You would use subtraction to find the difference: 17 - 12 = 5

Answer:

10x

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

Answer:

4 90 degree angles

Answer:

I think it is B.

Step-by-step explanation:

Hope this helps.

Answer:

2(4+7) = 2×4 + 2×7 = 8 + 14 = 22

Step-by-step explanation:

Answer:

[tex]4^{4}[/tex]×[tex]6^{2}[/tex]

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

The coordinate of resulting image after dilation is (-5, -3)

Given the coordinate of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.

From the calculation above, you can see that the coordinate of resulting image after dilation is (-5, -3)

learn more on dilation here: https://brainly.com/question/3457976

sorry i answerd the wrong question.

the verified answer is correct

Answer:

3x^2+6x^2= 9x^2

9x^2+4x^2

Step-by-step explanation:

Answer:

4 feet

Step-by-step explanation:

Let x be the height of the tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.

5/8*x=2 and 1/2

Let us convert our given mixed fraction into an improper fraction.

5/8*x=5/2

Let us multiply both sides of our equation by 8/5.

8/5*5/8*x=5/2*8/5

x=8/2

x=4

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.

Answer:

330 calories if it is 2 1/2 cup of cheerios.

Step-by-step explanation:

140 is 1 cup of cheerios multiply it by 2

50 is half a cup

now add 280 (140 x2) plus 50 which equals = 330 calories for 2 1/2 cups of cheerios.

Answer:

The answer is 3.

Step-by-step explanation:

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

We are given:

[tex]\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}[/tex]

First, by the quotient property:

[tex]w^{(-x+4)-(-3)}=w^{2x+1}[/tex]

Since they both have the same base, their exponents must be equivalent:

[tex](-x+4)-(-3)=2x+1[/tex]

Solve for x. Simplify:

[tex]-x+7=2x+1[/tex]

Therefore:

[tex]3x=6\Rightarrow x=2[/tex]

Answer:

x=2

Step-by-step explanation:

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