Step-by-step explanation:
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
<u>Step 1</u>
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
<u>Step 2</u>
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.
Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.
4 * 5* 7.5 = 150
Answer:
Subtract
1
1
1
from both sides of the equation
2
+
1
=
1
1
2
+
1
−
1
=
1
1
−
1
2
Simplify
3
Divide both sides of the equation by the same term
4
Simplify
Solution
=
5
Step-by-step explanation:
A. 2x+y=25; x+y=20
x represents cheese wafers and y represents chocolate wafers.
B. I will choose elimination since there is y and y. I can multiply one equation by -1 to get y and -y, which cancels out.
2x+y=25
-x-y=-20
Add equations
x=5
Plug x in
5+y=20
y=15
Final answer: 5 cheese wafers, 15 chocolate wafers
The equation for the line passing through point A and perpendicular to AB will be y-0.5x=6, the gradient of line AB is -2, and the gradient of a line perpendicular to AB is 0.5.
<h3 /><h3>What is the slope or gradient?</h3>
A numerical assessment of a line's angle relative to the ground is known as the slope.
Given data;
m₁ is the slope of line AB
m₂ is the slope of a line perpendicular to AB
The coordinate points are,
A,(x₁,y₁)= (0, 6)
B,(x₂,y₂)=(3, 0).
The gradient of line AB;
The slope of the lines has a perpendicular relation is -1;
m₁ × m₂ = -1
(-2) × m₂ = -1
m₂ = 1/2
m₂ = 0.5
The equation of the line passing through point A and perpendicular to AB;
(y - y₁) = m₂(x-x₁)
(y-6)=0.5(x-0)
y-6 = 0.5 x
y-0.5x=6
Hence, the gradient of line AB, the gradient of a line perpendicular to AB, and the equation of the line passing through point A and perpendicular to AB will be -2,0.5 and y-0.5x=6.
To learn more about the slope, refer to the link;
brainly.com/question/3605446
#SPJ1
You will wait 210 days. Hope this helps!
