Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:
where represents length, represents width and represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.
Simplifying.
\frac{36}{12}=\frac{12h}{12}
3=h
∴ h=3
Thus, the height of the tent = 3 feet
Answer:
b/c+30
Step-by-step explanation:
ANSWER
C. Both equations will find the correct solution.
EXPLANATION
It was given in the question that, Asha and Jamal started with 45 plants.
We were told that, they sold some plants and now they have 21 plants left.
Let

represent the number of plants sold.
Then when we add the number of plants sold and the number left, we should get 45.
This implies that,

This is Jamal's equation.
On the other hand, if we subtract the number of plants sold from the total number of plants, we should get 21. Thus,

This is Asha's equation.
The two equations are therefore equivalent.
They will give the same solution.
The correct answer is C.
The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y
(14+y)y=1800
14y+y²=1800
y²+14y-1800=0
Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:
y₁=(-14-86)/2=-50 ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36 ⇒x=14+y=14+36=50
Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36