Answer:
21.2
Step-by-step explanation:
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
Preston have to get some correct and some incorrect answers.
2 consecutive even integers : x and x + 2
4(x) + 3(x + 2) = 20
4x + 3x + 6 = 20
7x + 6 = 20
7x = 20 - 6
7x = 14
x = 14/7
x = 2
x + 2 = 2 + 2 = 4
so ur first number (x) = 2 and ur second number (x + 2) = 4
Answer:
x = 3.5 is not a solution
Step-by-step explanation:
3x +2 < 12
Subtract 2 from each side
3x +2-2 < 12-2
3x< 10
Divide each side by 3
3x/3 <10/3
x < 10/3
x <3.3333333
Any number greater than 3.3333 is not a solutions
3.5 is not a solution