Answer:
336.02 square centimeters
Step-by-step explanation:
The surface area is the area of all the surfaces of the prism shown.
The prism has 7 surfaces.
Top and Bottom are pentagons with side lengths of 5.
The other 5 side surfaces are rectangles with length 10 and width 5.
Note the formulas of area of pentagon and area of rectangle below:
Area of Rectangle = Length * Width
Area of Pentagon = , where a is the side length
Lets find area of each of the surfaces:
<u>Top Surface</u> (Pentagon with side length 5) =
<u>Bottom Surface</u> = same as Top Surface = 43.01
<u>Side Surface</u> (rectangle with length 10 and width 5) = 10 * 5 = 50
There are 5 side surfaces that are each 50 sq. cm. so area would be:
<u>Area of 5 Side Surface</u> = 5 * 50 = 250
Total Surface Area = 250 + 43.01 + 43.01 = 336.02 square centimeters
Answer:
I'm not too sure about this one, but I think it's 36% since that's
how many they got when they flipped the coin. In reality, it's 50% for both sides.
Answer:
Measure of <N = 60°
(angles in an equilateral triangle are all equall 60°)
the measure of ∠M= 60°
(angles in an equilateral triangle are all equall 60°)
Step-by-step explanation:
Sum of angles in a triangle is equall to 180....
And in equilateral triangle of all sides equall...all angles are equal to 60° because all sides are equal.
So <m= <n=<o=60°
A numerical or other measurable factor forming one of a set that defines a system or sets the conditions of its operation
Answer:
Choice A, x=1
Step-by-step explanation:
So, to start, there's two routes that you can take there. I am going to show one of these routes.
Within the image, you see two triangles, you are able to tell that these triangles share two of the same sides, because of congruency lines on each of them.
The first group of congruent sides have 1 line going through them, the second group has 2 lines going through them. Let's go with the first group.
With the first group, we are using the lines CB and FE, where the measurements on each of them are 3x+1 and x+3 respectively.
Since they are congruent, they are equal and we can just set them equal to each other.
Starting With:
3x+1 = x+3
Step 1) Cancel out the +1
3x+1 -1 = x+3 -1
3x = x+2
Step 2) Cancel out the x
3x -x = x+2 -x
2x = 2
Step 3) Divide by 2 get x by itself
2x/2 = 2/2
x=1
All done!