Answer:
20 feet.
Step-by-step explanation:
Pythagoreans theorem states that a^2 + b^2 = c^2
a = 12, squared = 144
b = 16, squared = 256
144 + 256 = 400
√400 = 20
20 feet is the answer.
Hope this helps.
if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get
![4 \times 2](https://tex.z-dn.net/?f=4%20%5Ctimes%202)
Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get
![3 \times 2](https://tex.z-dn.net/?f=3%20%5Ctimes%202)
add both equations and you get
![(4 \times 2) + (3 \times 2)](https://tex.z-dn.net/?f=%284%20%5Ctimes%202%29%20%2B%20%283%20%5Ctimes%202%29)
The answer is 14cm! Don't forget to label. ;)
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
So,
The ratio of dogs to cats:
![\frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20)
The other proportion:
![\frac{x}{140}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B140%7D%20)
![\frac{2}{5} = \frac{x}{140}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20%3D%20%20%5Cfrac%7Bx%7D%7B140%7D%20)
5 times 28 is 140.
Multiply the fraction by the appropriate form of 1
![\frac{2}{5} * \frac{28}{28} = \frac{56}{140}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20%2A%20%5Cfrac%7B28%7D%7B28%7D%20%3D%20%20%5Cfrac%7B56%7D%7B140%7D%20)
There are 56 dogs when the number of cats is 140.
Answer:
18 hours
Step-by-step explanation: