Answer:
90 sq inches
Step-by-step explanation:
The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.
We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.
We know how to calculate the area of a triangle: A = (b * h)/2
In this case, b = 5 in, h = 12 in. So,
TA = (5 * 12)/2 = 60 / 2 = 30
Each side triangle has an area of 30 sq inches.
LA = 3 * TA (since there are 3 sides)
LA = 3 * 30 = 90 sq inches
All you have to do is solve for x. See the following steps below.
Step 1. Subtract

from both sides

Step 2. Simplify

to

Answer:
The answer is C. 6.4 X 8 in
Step-by-step explanation:
If the scale factor from the original to the trimmed photo is 5:4
The statement above just means the scale of the old dimension is 5 while the scale of the new dimension is 4.
To get the new dimensions, multiply each of the old dimensions by 4/5
4/5 X 10 = 8
4/5 X 8 = 6.4
Therefore the new dimension is 6.4 X 8 in
Yes to every single one except the 4/5
:)
Adam has a greater rate of change, as seen by the larger slope. This means Adam is traveling faster than Katia.