Answer: ![2.70\ quarts\approx3\ quarts](https://tex.z-dn.net/?f=2.70%5C%20quarts%5Capprox3%5C%20quarts)
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
![A_r=lw](https://tex.z-dn.net/?f=A_r%3Dlw)
Where "l" is the lenght and "w" is the width.
And the area of triangle can be found with this formula:
![A_t=\frac{bh}{2}](https://tex.z-dn.net/?f=A_t%3D%5Cfrac%7Bbh%7D%7B2%7D)
Where "b" is the base and "h" is the height.
First:
- Convert inches to feet:
![(30\ in)(\frac{1\ ft}{12\ in})=2.5\ ft](https://tex.z-dn.net/?f=%2830%5C%20in%29%28%5Cfrac%7B1%5C%20ft%7D%7B12%5C%20in%7D%29%3D2.5%5C%20ft)
- Convert the mixed number to decimal number:
![30\frac{1}{10}=30+0.1=30.1](https://tex.z-dn.net/?f=30%5Cfrac%7B1%7D%7B10%7D%3D30%2B0.1%3D30.1)
You can identify that the ramp is formed by three rectangles and two equal right triangles.
Since the bottom of the ramp does not have to be stained, you need to find:
1. The area of the smaller rectangle:
![A_1=(2.5\ ft)(6\ ft)=15\ ft^2](https://tex.z-dn.net/?f=A_1%3D%282.5%5C%20ft%29%286%5C%20ft%29%3D15%5C%20ft%5E2)
2. The area of the larger rectangle on the top:
![A_2=(30.1\ ft)(6\ ft)=180.6\ ft^2](https://tex.z-dn.net/?f=A_2%3D%2830.1%5C%20ft%29%286%5C%20ft%29%3D180.6%5C%20ft%5E2)
3. The area of the triangles:
![A_3=A_4=\frac{(30\ ft)(2.5\ ft)}{2}=37.5\ ft^2](https://tex.z-dn.net/?f=A_3%3DA_4%3D%5Cfrac%7B%2830%5C%20ft%29%282.5%5C%20ft%29%7D%7B2%7D%3D37.5%5C%20ft%5E2)
Add the areas:
![Total=15\ ft^2+180.6\ ft^2+37.5\ ft^2+37.5\ ft^2=270.6\ ft^2](https://tex.z-dn.net/?f=Total%3D15%5C%20ft%5E2%2B180.6%5C%20ft%5E2%2B37.5%5C%20ft%5E2%2B37.5%5C%20ft%5E2%3D270.6%5C%20ft%5E2)
Since a quart of stain covers
, for
you need to buy:
![\frac{270.6}{100}=2.70\ quarts\approx3\ quarts](https://tex.z-dn.net/?f=%5Cfrac%7B270.6%7D%7B100%7D%3D2.70%5C%20quarts%5Capprox3%5C%20quarts)
Rat monkey eats hot dogs and dog poop
What's the question? what are you asking?
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Answer:
D) 40 miles
Step-by-step explanation:
First we must find the distance between the mall and the house. The figure formed is a right triangle. The length of the side from the mall to the house forms the hypotenuse of the triangle. We can use the Pythagorean theorem to find the length:
a² + b² = c²
The two legs of the triangle, a and b, are 15 and 8:
15² + 8² = c²
225 + 64 = c²
289 = c²
Take the square root of each side:
√289 = √(c²)
17 = c
This makes the total distance
15+8+17= 40 miles