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
A = x * x = x^2
B = 6 * x = 6x
C = 8 * x = 8x
D = 6 * 8 = 48
So the area of the whole shape is each side added up then multiplied to give (x+6)(x+8) =
x^2 + 14x + 48
Answer:
f(g(x)) = 2(7 - x) + 1
Step-by-step explanation:
f(x) = 2x + 1
g(x) = 7 - x
The question in the picture itself says to find f(g(x)) so i'll find that instead
f(g(x)) = 2(7 - x) + 1
f(g(x)) = 14 - 2x + 1
f(g(x)) = -2x + 15
Point slope form
y - y1 = m(x - x1)
Plug in the given
slope = -4
Point ( 4, 1)
y - 1 = -4(x - 4)
y - 1 = -4x +16
add 1 to both sides
y = -4x + 17
Hope this helps!
Answer:
Therefore Mason would be expected to win 50 times.
Step-by-step explanation:
i) probability of flipping a head for a fair coin is 
ii) probability of flipping two fair coins is = 
iii) Therefore if Mason plays 200 times he would be expected to win
= 
