<em>48.25 in^2</em>
Step-by-step explanation:
The formula for the surface area of a pyramid is:

B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.


A = 10.75
Now we can plug in 10.75 for B.

The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.

48.25 in^2
Correct me if I’m wrong but I believe it to b
The surface area of a cylinder is the sum of the top + bottom + body, right?
The top and the bottom are circles with the same radius 3.5 . And we know that the area of a circle is r^2pi, (don't forget we have 2 circle, so, the answer must be multiplied by 2)
Now, the body: the body is just a rectangular with the width is the height of the cylinder and the length is the circumference of the circle.
The circumference = 2 r pi
the height is given
All you need to do is to calculate them and add them up. You need to work out to get the answer.
Answer:
Leslie has 13 quarters and 23 half-dollars.
Step-by-step explanation:
You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:
x+y=36 (1)
0.25x+0.50y=14.75 (2), where:
x=amount of quarters
y=amount of half-dollars
First, you can isolate x in (1):
x=36-y (3)
Then, you can replace (3) in (2):
0.25(36-y)+0.50y=14.75
9-0.25y+0.50y=14.75
0.25y=5.75
y=5.75/0.25
y=23
Finally, you can replace the value of y in (3) to find the value of x:
x=36-23
x=13
According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.
X is 1/4
2/3 X 1/4 = 1/6 make all have the same bottom number to make it easier
8/12 x 3/12 = 2/12