Answer:
Step-by-step explanation:
Let the 3-digit number is <u>abc</u> = 100a + 10b + c.
<u>We have:</u>
- 100a + 10b + c - 100c - 10b - a = 297
- b = a - 6
- a = 2c - 2
<u>Simplify the first equation:</u>
- 99a - 99c = 297
- a - c = 3
- a = c + 3
<u>Solve for c by substitution:</u>
- 2c - 2 = c + 3
- 2c - c = 3 + 2
- c = 5
<u>Find a:</u>
<u>Find b:</u>
<u>The number is:</u>
Step-by-step explanation:
First, the pizza is 18 inches in diameter, so
![d = 18](https://tex.z-dn.net/?f=d%20%3D%2018)
and, because the radium is half of the diameter,
![r = 9](https://tex.z-dn.net/?f=r%20%3D%209)
<u>Note that the units are inches.</u>
Using the equation
![a = \pi r ^{2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cpi%20%20r%20%5E%7B2%7D%20)
where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is
![a(s)= \frac{(\pi \times 9^{2})}{s}](https://tex.z-dn.net/?f=a%28s%29%3D%20%20%5Cfrac%7B%28%5Cpi%20%20%5Ctimes%209%5E%7B2%7D%29%7D%7Bs%7D%20)
where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.
Answer:
- B - tan A = 4/3, sin B = 3/5
Step-by-step explanation:
<u>First, lets find the length of the third side</u>
- b = √15² - 12² = √225 - 144 = √81 = 9
<u>Now, lets get Tan A and Sin B</u>
- Tan A = 12/9 = 4/3
- Sin B = 9/15= 3/5
Correct option is B
Area of Square/Rectangle-LxW
Area of triangle-BxH(divided by)2
Area of polygon=56
Answer:
14
Step-by-step explanation:
100% - 30%= 70% (the times they've won)
0.7x20=14