for a line in the form of y=mx+b, the slope is m and he y intercept is b.
y= -3/4x + 3/2m = -3/4, b=3/2
Answer:
101.9 sq ft
Step-by-step explanation:
The figure is missing: find it in attachment.
Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.
We have in total 5 faces:
- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

- Finally, we have 2 triangular faces (top and bottom), so their area is

where
b = 5.1 ft is the base
h = 6.8 ft is the height (because the triangle is a right triangle)
So the area of the triangle is

So the total lateral surface area of the figure is:

Answer:
<u>The volume of the cone is 1,102.7 feet³ (cubic)</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Radius = 9 feet
Height = 13 feet
2. What is the exact volume of the cone?
We will use the following formula to calculate the volume of the cone:
Volume of the cone = π * Radius² * Height/3
Volume of the cone = 3.1416 * 9² * 13/3
Volume of the cone = 3.1416 * 81 * 13/3
Volume of the cone = 3.1416 *9² * 13/3
<u>Volume of the cone = 1,102.7 feet³ (cubic)</u>
Answer:
x = -4 and x = 5
Step-by-step explanation:
Since
and
both equal to y, we know that the expressions equal to each other. We can write a new equation base on that.

Now we solve the equation.






Step-by-step explanation:
I wrote the steps in different colour pen so that it would be easier
Hope this is correct and helpful
HAVE A GOOD DAY!