We know, Circumference = <span>π * Diameter
So, c = </span><span>π * 8
c = 8</span><span>π
In short, Your Answer would be Option C
Hope this helps!</span>
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
Answer: 180cm
Explanation:
The area of a triangle is 1/2(b)(h).
The height of the triangles is 12cm and the base is 6cm.
1/2(6)(12) = 36cm
Multiply by 4 = 144
For square: 6 • 6 = 36cm
144cm + 36cm = 180cm
Answer:
-35a
Step-by-step explanation:
Here, you just distribute: -7 * 5a
= -35a
Answer:
Option B.
Step-by-step explanation:
Let as consider the given equation:
It can be written as
![[\because \ln e^a=a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ea%3Da%5D)
![[\because \ln a^b=b\ln a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20a%5Eb%3Db%5Cln%20a%5D)
![[\because \ln \dfrac{a}{b}=\ln a-\ln b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cln%20a-%5Cln%20b%5D)
On comparing both sides, we get
Multiply both sides by 5.
Divide both sides by 2.
Therefore, the correct option is B.
