Answer:
10 cars
Step-by-step explanation:
he can vacuum 3 cars in 17 minutes
so in 1 hour its (60/17) x 3
Or you can do 17/3 for how long it takes to clean 1 car
then divide 60 by that number, you round down for both since you don't complete the car if its a decimal
Step-by-step explanation:
The shape of the new pizza must meet the conditions:
- Be an irregular polygon (different sides and/or angles).
- Have at least five sides.
- Have the approximately the same area as a 14" diameter circle.
- Fit in a 14⅛" × 14⅛" square.
- Be divisible into 8-12 equal pieces.
For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).
Split the pentagon into a rectangle on bottom and triangle on top. If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.
Now we just need to figure out the dimensions. The area of a 14" circular pizza is:
A = πr²
A = π (7 in)²
A ≈ 154 in²
That means the area of each triangle slice needs to be 15.4 in². If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:
A = ½ bh
15.4 in² = ½ (7 in) h
h = 4.4 in
Which makes the total height of the pentagon 3h = 13.2 in.
So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.
Of course, there are many possible solutions. This is just one way.
Answer:
a = 7
b = 7
Step-by-step explanation:
in a 45-45-90° triangle, the length of legs to hypotenuse is 1 :
When you multiply powers, add the exponents.
When you divide powers, subtract the exponents.
When you raise a power to a power, multiply the exponents.
Anything to the zero power equals one.
When you have a negative exponent, flip it and make it positive.