The product is 60.
We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30²
x²+576=900
Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324
Take the square root of each side:
√x²=√324
x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y
720=216y
Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y
This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
The area of a polygon equals
area = circumradius² * number of sides * sin (360 / # of sides) / 2
area = 77² * 20 * sin (360 / 20) / 2
area = 77² * 20 * sin (18) / 2
area = 118,580 * 0.30902 / 2
area =
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<span>
<span>
36,643.59
</span>
</span>
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/ 2
area =
18,321.8 square millimeters
6-3/4x+1/3=1/2x+5
6+1/3-5=1/2x+3/4x
4/3=5/4x
x=16/15
Answer:4) 1.05(0.85y)
Step-by-step explanation:
take off 15% from y which will leave you with 85% left -> (0.85y)
then you have to find 5% from the discounted price and add it to the original price 1.05(8.5y) the 1 will give you your original price while the .05 will add on your tax.
Square root of 69,081 is 262.832646, so the answer to the nearest tenth will be 262.8. Good luck!
