Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
Answer:
x≥−8
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−4x−6≤26
Step 2: Add 6 to both sides.
−4x−6+6≤26+6
−4x≤32
Step 3: Divide both sides by -4.
−4x/−4 ≤ 32/−4
x≥−8
F(x) = sin(x) + icos(x)
|f(x)| = sqrt(sin^2(x) + cos^2(x)) = sqrt(1) = 1
Therefore, |f(x)| = 1
Answer:
0.4x^3 - xy.
Step-by-step explanation:
2/7x(1.4x^2-3.5y) Distributing the2/7x over the parentheses:
= 2/7 * 1.4 x^3 - 2/7 *3.5xy
= 0.4x^3 - xy
