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
Answer:
y = -3/2x + 1 1/2
Step-by-step explanation:
the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.
6 = -3/2(-3) + b
6 = 4.5 + b
1.5 = b
Option C. Distribution property is the property of, well, distribution!
In (r + s)t, t has to be distributed, and that makes rt + st.
Answer:
Area of polygon = 42.63 mm²
Step-by-step explanation:
Given:
To find the area of the polygon (rectangle), multiply the length with the width.
⇒ Area of polygon = LW
<u>Substitute the values into the area:</u>
⇒ Area of polygon = (8.7)(4.9) [L = 8.7 mm; W = 4.9 mm]
⇒ Area of polygon = 42.63 mm²
To answer this you need to do the factorial for 8 which is 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 and you'll get the number of combinations that is<span> 40,320</span> because that's the possible number of combinations.
