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2 years ago

1. Triangle HYV and Triangle AYB are similar. What is the value of x

Mathematics

1 answer:

denis23 [38]2 years ago

6 0

Answer:

x=40.375

Step-by-step explanation:

Since HYV and AYB are similar, we know that the sides in each of the triangles with have the same ratio to each of their corresponding sides.

For example, YV/YB=YH/YA.

Now we have to find the ratio of the sides which can be done using the lengths of segments YB and YV. YB=16 YV=16+22=38 38/16=2.375

2.375 is our ratio.

Next we are going to find the length of YH so we can determine x.

YA=17 YH=17*2.375=40.375

The length of side YH=40.375 which is equal to x.

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Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a

pychu [463]

Answer:

113.04 cubic inches.

Step-by-step explanation:

We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.

To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.

$\text{Volume of cylinder}=\pi r^2h$ , where,

r = Radius of cylinder,

h = Height of cylinder.

First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.

$\text{Radius}=\frac{2\text{ inches}}{2}$

$\text{Radius}=1\text{ inch}$

Upon substituting our given values in volume formula we will get,

$\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=18.84\text{ inch}^3$

Therefore, one can of soft drink contains 18.84 cubic inches of drink.

To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.

$\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3$

$\text{Volume of 6 cans}=113.04\text{ inch}^3$

Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.

4 0

2 years ago

Determine if x + 2 is a factor of p(x) = x ^4 + 3x^ 3 + 4x ^2 - 8 and explain why.

zlopas [31]

X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
-----------------------
x^3+4x^2-8
-x^3-2x^2
-------------------------
2x^2-8
-2x^2-4x
--------------
-4x-8
4x+8
----------------------------
/ /

is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8

4 0

2 years ago

Read 2 more answers

Dvinal [7]

Answer:

It has to be x - 9= 27

so it can be x=36

6 0

3 years ago

Read 2 more answers

2.<br> A line goes through the points (0, 10) and (-1, 1).<br> 2a<br> What is the slope of the line?

sashaice [31]