a 100 point test has x questions worth 2 points each and y questions worth 4 points each what is the total that is given

Alika [10]

Answer:

33

Step-by-step explanation:

So the angle of 40 is a vertical angle with the one opposite of it, meaning that the triangle on the left would have two values of 40 and 41, to find the value of the 3rd angle of the left triangle, you can subtract 40 and 41 from 180 which is the total number of degrees in a triangle to get 99, then you can find the degrees of the triangle on the right's bottom angle by subtracting 99 from 180, meaning the bottom left angle would be 81, then you can do the same to find the other angle by subtracting 114 from 180 to get 66. Lastly you can add 81 and 66 to get 147, then subtracting 147 from 180 you would get x=33

3 0

3 years ago

Find the slope of the line

natta225 [31]

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 1)

m = $\frac{1-4}{2+1}$ = $\frac{-3}{3}$ = - 1

4 0

3 years ago

Read 2 more answers

A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in.

Ivan

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$ It is the area of the base

h: It is the height

So:

$A_ {b} = 8 * 4 = 32 \ in ^ 2\\h = 214 \ in$

The volume of the prism is:

$V = 32 * 214 = 6848 \ in ^ 3$

Now, the volume of the cubes is:

$V = (14) ^ 3 = 2744 \ in ^ 3$

Thus, we divide and find the number of cubes to fill the prism:

$n = \frac {6848 \ in ^ 3} {2744 \ in ^ 3}\\n = 2.5$

ANswer:

n = 2.5

8 0

3 years ago

What is the length of the segment connecting the points A(1,3) and B(6,5)?

Natalija [7]

Answer:

The answer is

<h2> $\sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units$ </h2>

Step-by-step explanation:

The length of the segment connecting two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(1,3) and B(6,5)

The length is

$|AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29}$

We have the final answer as

$\sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units$

Hope this helps you

3 0

2 years ago

Please help me with this

horrorfan [7]

Answer:

$\dfrac{4000\pi}{3}$ ft³

Step-by-step explanation:

First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then

The formula for a sphere's surface area is $A = 4\pi r^2$

The formula for a sphere's volume is $V=\frac{4}{3}\pi r^3$

So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:

$V=\frac{A}{3}r$

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - $400\pi$ ft² - so we can use the area formula to find that radius:

$A=4\pi r^2=400\pi\\r^2=100\\r=10$

And now that we have our radius, we can put it into our volume formula to find

$V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3}$ ft³

4 0

3 years ago