Answer:
9
Step-by-step explanation:
The mode is the number that occurs most often. The number nine occurs 4 times.
Answer:
![h= 2x](https://tex.z-dn.net/?f=h%3D%202x)
Step-by-step explanation:
Given
Square
![Side = x](https://tex.z-dn.net/?f=Side%20%3D%20x)
Triangle
![Base = x](https://tex.z-dn.net/?f=Base%20%3D%20x)
![Altitude = h](https://tex.z-dn.net/?f=Altitude%20%3D%20h)
Required
Find h, if both shapes have the same area
The area of the square is:
![Area = x * x](https://tex.z-dn.net/?f=Area%20%3D%20x%20%2A%20x)
![Area = x^2](https://tex.z-dn.net/?f=Area%20%3D%20x%5E2)
The area of the triangle is:
![Area = \frac{1}{2} * Base*Height](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20Base%2AHeight)
![Area = \frac{1}{2} * x*h](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20x%2Ah)
Equate both areas
![x^2 = \frac{1}{2} * x*h](https://tex.z-dn.net/?f=x%5E2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20x%2Ah)
Divide both sides by x
![x = \frac{1}{2} *h](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2Ah)
Multiply both sides by 2
![2*x = \frac{1}{2} *h*2](https://tex.z-dn.net/?f=2%2Ax%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2Ah%2A2)
![2x = h](https://tex.z-dn.net/?f=2x%20%3D%20h)
![h= 2x](https://tex.z-dn.net/?f=h%3D%202x)
Answer:
skakaaja
Step-by-step explanation:
aamnanananan
<h2>
Miranda's rate is 12 hours per mies.</h2>
Step-by-step explanation:
Given by question,
Miranda began her ride from home merely that she was 50 miles away from home after 4 hours of riding.
To find, Miranda's rate = ?
2 hours later she was 974 miles from home.
∴ 2 hours she rode = 74 miles - 50 miles
Miranda rides 24 miles in 2 hours.
∴ Miranda rides in 1 hour =
![\dfrac{miles}{hour}](https://tex.z-dn.net/?f=%5Cdfrac%7Bmiles%7D%7Bhour%7D)
=
![\dfrac{miles}{hour}](https://tex.z-dn.net/?f=%5Cdfrac%7Bmiles%7D%7Bhour%7D)
Thus, Miranda's rate is 12 hours per mies.