Answer:
The height of the container is ![7x\ ft](https://tex.z-dn.net/?f=7x%5C%20ft)
Step-by-step explanation:
Let
L ------> the length of the rectangular container
W ----> the width of the rectangular container
H ---> the height of the rectangular container
we know that
The volume of the rectangular container is
------> equation A
we have
![W=x\ ft](https://tex.z-dn.net/?f=W%3Dx%5C%20ft)
![L=(x+0.5)\ ft](https://tex.z-dn.net/?f=L%3D%28x%2B0.5%29%5C%20ft)
![V=7x^{3}+3.5x^{2}](https://tex.z-dn.net/?f=V%3D7x%5E%7B3%7D%2B3.5x%5E%7B2%7D)
substitute the values in the equation A
![7x^{3}+3.5x^{2}=(x+0.5)(x)H](https://tex.z-dn.net/?f=7x%5E%7B3%7D%2B3.5x%5E%7B2%7D%3D%28x%2B0.5%29%28x%29H)
Factor the term x in the left side
![(7x^{2}+3.5x)(x)=(x+0.5)(x)H](https://tex.z-dn.net/?f=%287x%5E%7B2%7D%2B3.5x%29%28x%29%3D%28x%2B0.5%29%28x%29H)
Simplify
![(7x^{2}+3.5x)=(x+0.5)H](https://tex.z-dn.net/?f=%287x%5E%7B2%7D%2B3.5x%29%3D%28x%2B0.5%29H)
Factor the term 7x in the left side
![(7x)(x+0.5)=(x+0.5)H](https://tex.z-dn.net/?f=%287x%29%28x%2B0.5%29%3D%28x%2B0.5%29H)
Simplify
![(7x)=H](https://tex.z-dn.net/?f=%287x%29%3DH)
Rewrite
![H=7x\ ft](https://tex.z-dn.net/?f=H%3D7x%5C%20ft)
First just make the whole number a fraction.
3 in fraction form is 3/1.
Now make it have a common denominator with the fraction 1/2.
Just multiply both the numerator and denominator by 2.
This gives you 6/2
Now add!
6/2 + 1/2 = 7/2
So 3(1/2) = 7/2.
:)
Answer: 20 feet
Step-by-step explanation:
This represents a right angled triangle with the length of the slide being the hypotenuse, the height of the ladder being the height of the triangle and the distance from the base of the ladder being the length.
Solve with Pythagoras rule:
c² = a² + b²
c = hypotenuse
a= length
b = height
29² = 21² + b²
841 = 441 + b²
b² = 841 - 441
b² = 400
b = √400
b = 20 feet
Answer:
C
Step-by-step explanation:
Hope I was able to help!! :)
Answer:
x+y = 112 ........ (1)
x-y = 62............ (2)
from (1) and (2)
2x = 174
x = 174/2
x = 87
sub x = 87 in (1)
x+y = 112
87+y = 112
y = 112 - 87
y = 25
so the numbers are 87 and 25
Step-by-step explanation: