The product a number with its square is equal to 8. Find the number.
Answer:
the number is 2
Step-by-step explanation:
Let us assume the number to x.
So, according to the equation:
![\textrm{x}\times\textrm{x}^{2}=8\\ \textrm{x}^{3}=8\\ \textrm{x}=\sqrt[3]{8}\\ \therefore \textrm{x}=2](https://tex.z-dn.net/?f=%5Ctextrm%7Bx%7D%5Ctimes%5Ctextrm%7Bx%7D%5E%7B2%7D%3D8%5C%5C%20%5Ctextrm%7Bx%7D%5E%7B3%7D%3D8%5C%5C%20%5Ctextrm%7Bx%7D%3D%5Csqrt%5B3%5D%7B8%7D%5C%5C%20%5Ctherefore%20%5Ctextrm%7Bx%7D%3D2)
Answer:
7.25cm
Step-by-step explanation:
Let the complete question be;
<em>Jill cuts a piece of cardboard in the shape of a trapezoid. The area of the is 43.5sp cm. If bases are 3.5cm and 8.5cm long, what is the height.</em>
<em />
Area of a trapezoid = 1/2(a+b)*h
a and b are the parallel sides (bases)
h is the height
Given
a = 3.5cm
b = 8.5cm
A = 43.5 sq.cm
Required
Height h
Substitute the given values into the expression
Area of a trapezoid = 1/2(a+b)*h
43.5 = 1/2(3.5+8.5)*h
43.5 = 1/2 * 12h
43.5 = 6h
h = 43.5/6
h = 7.25cm
Hence the height is 7.25cm
A handy conversion to remember is that 60 mph equals 88 feet per second.
Therefore, 50 mph will be (5/6) of 88 feet per second or 73.3333333333 feet per second.
