Paint is bought to cover square footage. By looking at length and width, we can get the square footage that will total 150 square feet.
This area can be anything from a square to a long skinny rectangle. The thinner the rectangle, the longer the length.
Example: 10' x 15' = 150 sq.ft.
The longest WHOLE foot would be 150 feet long. This would create a rectangle 150' by 1' = 150 square feet.
I did notice you said surface area, which often is for prisms.
Answer:
9/5 < m < 9/4
Step-by-step explanation:
The conditions are:
- The line passes through (9,4)
- The slope (m) is greater than its y-intercept
If we take a point like (-1,0)
Slope (m) = change in y ÷ change in x =
= 9/5
This point satisfies the conditions above since;
- The line passes through points (9,0) and (-1,0)
- The x-intercept is negative i.e -1
- The y-intercept is 0 and the slope which equals 9/5 is greater than 0
From the choices given;
we can say that:
m > 9/5 and m < 9/4
And can be expressed as;
9/5 < m < 9/4
Suppose the length of the fence perpendicular to the central partition is x. Then the total length of the fence (L) for enclosed area A is
.. L = 2x +3*A/x
The derivative of this with respect to x is
.. L' = 2 -3A/x²
L will be minimized when this is zero.
.. 0 = 2 -3A/x²
.. x² = 3A/2
.. x = √(3A/2)
For this value of x, the total length of fence is
.. L = 2√(3A/2) -3A/√(3A/2)
.. L = 4√(3A/2) = 2√(6A)
For this problem, A = 14,900 ft², so
.. L = 2√(6*14,900 ft²) ≈ 597.997 ft
The smallest length of fence required to fence the rectangular area is 598 ft.
Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,
![\frac{left}{altitude} =\frac{altitude}{right}](https://tex.z-dn.net/?f=%5Cfrac%7Bleft%7D%7Baltitude%7D%20%3D%5Cfrac%7Baltitude%7D%7Bright%7D)
Now,
Putting,
left = 25, altitude = 60 and right = x we get,
![\frac{25}{60} = \frac{60}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B60%7D%20%3D%20%5Cfrac%7B60%7D%7Bx%7D)
or,
[ by cross multiplication]
or, ![x= \frac{3600}{25}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B3600%7D%7B25%7D)
or, ![x=144](https://tex.z-dn.net/?f=x%3D144)
Hence,
The value of x is 144.
Yur answer will be -28 hope it helped :)