Answer:
T.A. = 144 + 36√3 units²
Step-by-step explanation:
∵ The total surface area of the pyramid = the sum of the area of
the four faces (one base and 3 side faces)
∵ The 3 side faces have the same dimensions 12 , 10 , 10
∴ the area of the 3 faces = 3 × 1/2 × 12 × h
∵ The height of each triangle is ⊥ to its base
∵ The triangle are isosceles
∴ The height bisects the base
∴ h² = 10² - 6² = 64
∴ h = √64 = 8
∴ The area of the 3 triangles = 3 × 1/2 × 12 × 8 = 144 units²
∵ The base is equilateral Δ with side length 12
∵ Area equilateral triangle = 1/4 × s² × √3
∴ The area of the base = 1/4 × (12)² × √3 = 36√3 units²
∴ T.A. = 144 + 36√3 units²
Answer:
![7^{27}](https://tex.z-dn.net/?f=7%5E%7B27%7D)
Step-by-step explanation:
Using the rule of exponents
=
, thus
=
= ![7^{27}](https://tex.z-dn.net/?f=7%5E%7B27%7D)
Answer:
191 square yards
Step-by-step explanation:
I split the figure into 3 different shapes.
First, a triangle. You multiply the base which is 21 by the height which is 8. You divide that answer by 2.
Then, a rectangle. I found the width by adding 6 and 4, and the height is provided.
The height and width are provided for the second rectangle.
I added the area of all three shapes together.
Answer:
Step-by-step explanation:
Present age of Barry = b
Present age of sister = s
Barry is 8 years older than his sister means if we subtract 8 from present age of Barry both will be of equal age
s=b-8 ............(1)
In 3 years means we have to add 3 in their present age
s+3=b+3
then
he will be twice as old as
2(s+3)=(b+3
2s+6=b+3
2s=b+3-6
2s=b-3...............(2)
Put the value of s from (1) to (2), we have
2(b-8)=b-3
2b-16=b-3
2b-b=-3+16
b=13
Put the value of b in (1)
s=13-8
s=5
Present age of Barry = b = 13
Present age of sister = s = 5
Answer:
<h2>b > 70 and b = 100 - a</h2>
Step-by-step explanation:
a + b = 100
If a < 30, then b > 70 and b = 100 - a