Answer:
![\boxed{\sf B)\: x=\sqrt{17}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20B%29%5C%3A%20x%3D%5Csqrt%7B17%7D%7D)
Step-by-step explanation:
<u>Use the Pythagorean Theorem</u>
The equation for the Pythagorean Theorem is ![\tt a^2+b^2=c^2](https://tex.z-dn.net/?f=%5Ctt%20a%5E2%2Bb%5E2%3Dc%5E2)
* a and b are the lengths of the legs, and c is the hypotenuse.*
(To know which side is the hypotenuse look at longest side which is across the right angle).
a= x, b=8, c=9
![\sf a^2+b^2=c^2](https://tex.z-dn.net/?f=%5Csf%20a%5E2%2Bb%5E2%3Dc%5E2)
Let's Plug in the side lengths:
![\sf x^2+8^2=9^2](https://tex.z-dn.net/?f=%5Csf%20x%5E2%2B8%5E2%3D9%5E2)
Evaluate 8^2 and 9^2:
![\sf x^2+64=81](https://tex.z-dn.net/?f=%5Csf%20x%5E2%2B64%3D81)
Subtract 64 from both sides:
![\sf x^2+64-64=81-64](https://tex.z-dn.net/?f=%5Csf%20x%5E2%2B64-64%3D81-64)
![\sf x^2=17](https://tex.z-dn.net/?f=%5Csf%20x%5E2%3D17)
Take the square root of both sides:
![\sf x=\sqrt{17}](https://tex.z-dn.net/?f=%5Csf%20x%3D%5Csqrt%7B17%7D)
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Answer:
<u>8 home theaters are sold for each $ 500 spent on advertising </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Advertising ($) 1,000 - $ 2,000 - $ 3,000
Home Theaters 16 - 32 - 48
2. How many home theaters does the company sell for each $500 spent on advertising?
As we can see in the graph:
16 home theaters are sold when the amount on advertising is $ 1,000
32 home theaters are sold when the amount on advertising is $ 2,000
48 home theaters are sold when the amount on advertising is $ 3,000
Therefore, we can use this ratio:
x = Number of home theaters that are sold when the amount on advertising is $ 500
16/1,000 = x/500
1,000x = 500 *16
1,000x = 8,000
x = 8,000/1,000
<u>x = 8</u>
Answer:
.38
Step-by-step explanation:
Given that they have green eyes, we only look at the green row
Total is 3+5+5 = 13
Red hair is 5
P( red hair ) red / total = 5/13 =.384615385
Answer:
total surface area of cube is <u>6 * area of one side</u>
therefore area of one side is given 64cm^2
thickness is also given 5cm .
TSA is 64*5 = 320cm^2
hope it is helpful
Answer:
101/3 or 33 2/3
Step-by-step explanation:
7 2/15=107/15
9 13/15=138/15
107/15+52/3+138/15
107/15+138/15+52/3
245/15+52/3
245/15+260/15
505/15
simplify,
101/3