Answer:
Area = 77ft²
Perimeter = 44 9/20 feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20
Answer:
x = 12
Step-by-step explanation:
both (x+5) and (2x-7) are corresponding angles formed by an intersection between a transversal and 2 parallel lines.
hence they are equal in value
x+5 = 2x-7
x - 2x = -7 - 5
-x = -12
x = 12
1. C. Rectangle
2. F. 160
3. D. Triangular prism
4. H. 30 boxes
5. C. Equilateral Triangle
<u>Answer:</u>
29 years
<u>Step-by-step explanation:</u>
- Given the function
, where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover. - Another way of doing this is to change the function to
which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate. - I'll use the 1st function because the question doesn't ask for the rate
From here I'll just use a calculator & get 28.7, or 29 years.
ES = ET
and
DS = DR
and
CR = CT ( because each pair are tangents to the circle)
So ES = 31 and Ds = 65-31 = 34
and DR = 34 and CR = 74- 34 = 40.
CT = CR = 40
Therfore the line EC = 31 + 40 = 71
Finally the perimeter = 65 + 74 + 71 = 210 (answer)
