Answer:
45
Step-by-step explanation:
6 × [45 / 9-3]
6×45/6
270/6
45
Answer:
a quadrilateral is a four sided shape that has four straight sides
Answer:
The answer to your question is the big dog weighs 120 pounds
Step-by-step explanation:
Data
big dog = b
medium dog = m
small dog = s
Equations
b = 5s
m = 12 + s
s = 2/3 m
Process
1.- Substitute m in the last equation
s = 2/3(12 + s)
s = 24/3 + 2/3s
s - 2/3s = 8
1/3 s = 8
s = 8(3)
s = 24 pounds
2.- Substitute s in the first equation
b = 5(24)
b = 120 pounds
Answer:
9 feet
Step-by-step explanation:
Given:
A prism with a triangular base has a volume of 432 cubic feet.
The height of the prism is 8.
The triangle base has a base of 12 feet.
Question asked:
The height of the triangular base of the prism = ?
solution:
Volume of triangular prism = ![Area of triangle \times height](https://tex.z-dn.net/?f=Area%20of%20triangle%20%5Ctimes%20height)
Dividing both side by 8
![54 = Area of triangle](https://tex.z-dn.net/?f=54%20%3D%20Area%20of%20triangle)
![54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height](https://tex.z-dn.net/?f=54%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes12%5Ctimes%20height%5C%5C54%20%3D%20%5Cfrac%7B12%7D%7B2%7D%20%5Ctimes%20height)
Multiplying both side by 2
![108 = 12 \times height](https://tex.z-dn.net/?f=108%20%3D%2012%20%5Ctimes%20height)
Dividing both side by 12
![9 = height](https://tex.z-dn.net/?f=9%20%3D%20height)
Thus, height of the triangular base of the prism is 9
There is a common denominator of 12 among those fractions.