Hmmmm not sure
Explanation: I took this test and got it correct
Given:
The dimensions:
Square pyramid
Square base: 2x2
1 out of 4 triangles: 1/2x2x5
4 triangles: 2x2x5
To find:
The SURFACE AREA of the square pyramid
Find answer:
Step 1
Find the area of the square base -
Square base:
SA = L x W
= 2 x 2
= 4
<em>The surface area of the square is 4 square inches</em>
<em></em>
Step 2
Find the area of the 4 Triangles:
We will use a different formula here, to find 1 triangle, we will have to do:
![SA = \frac{1}{2} *B*H](https://tex.z-dn.net/?f=SA%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2AB%2AH)
To find 2 triangles, we will do:
![SA = B*H](https://tex.z-dn.net/?f=SA%20%3D%20B%2AH)
But to find 4 triangles in just 1 step, we will do:
![SA=2*B*H](https://tex.z-dn.net/?f=SA%3D2%2AB%2AH)
Let's do it!
![SA = 2*2*5\\=2*10\\=20](https://tex.z-dn.net/?f=SA%20%3D%202%2A2%2A5%5C%5C%3D2%2A10%5C%5C%3D20)
<em>The surface area of the 4 triangles are 20 square inches</em>
<em></em>
Step 3
Add answers to get FINAL ANSWER
Easy!
20+4=24
<h2>
Hence, the Surface Area of the Square Pyramid is 24 square inches</h2>
<em></em>
<em></em>
Answer:
Same speed.
Step-by-step explanation:
divide Distance by speed
25.5/3=8.5mph
34/4=8.5mph
Let
be the weight of i-th player.
1. If the mean weight of 4 backfield members on the football team is 221 lb, then
![\dfrac{x_1+x_2+x_3+x_4}{4}=221\ lb.](https://tex.z-dn.net/?f=%5Cdfrac%7Bx_1%2Bx_2%2Bx_3%2Bx_4%7D%7B4%7D%3D221%5C%20lb.)
2. If the mean weight of the 7 other players is 202 lb, then
![\dfrac{x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{7}=202\ lb.](https://tex.z-dn.net/?f=%5Cdfrac%7Bx_5%2Bx_6%2Bx_7%2Bx_8%2Bx_9%2Bx_%7B10%7D%2Bx_%7B11%7D%7D%7B7%7D%3D202%5C%20lb.)
3. From the previous statements you have that
![x_1+x_2+x_3+x_4=221\cdot 4=884 \lb,\\ \\x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=202\cdot 7=1414\ lb.](https://tex.z-dn.net/?f=x_1%2Bx_2%2Bx_3%2Bx_4%3D221%5Ccdot%204%3D884%20%5Clb%2C%5C%5C%20%5C%5Cx_5%2Bx_6%2Bx_7%2Bx_8%2Bx_9%2Bx_%7B10%7D%2Bx_%7B11%7D%3D202%5Ccdot%207%3D1414%5C%20lb.)
Add these two equalities and then divide by 11:
![x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=884+1414=2298\ lb,\\ \\\dfrac{x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{11}=\dfrac{2298}{11}=208\dfrac{10}{11}\ lb.](https://tex.z-dn.net/?f=x_1%2Bx_2%2Bx_3%2Bx_4%2Bx_5%2Bx_6%2Bx_7%2Bx_8%2Bx_9%2Bx_%7B10%7D%2Bx_%7B11%7D%3D884%2B1414%3D2298%5C%20lb%2C%5C%5C%20%5C%5C%5Cdfrac%7Bx_1%2Bx_2%2Bx_3%2Bx_4%2Bx_5%2Bx_6%2Bx_7%2Bx_8%2Bx_9%2Bx_%7B10%7D%2Bx_%7B11%7D%7D%7B11%7D%3D%5Cdfrac%7B2298%7D%7B11%7D%3D208%5Cdfrac%7B10%7D%7B11%7D%5C%20lb.)
Answer: the mean weight of the 11-person team is ![208\dfrac{10}{11}\ lb.](https://tex.z-dn.net/?f=208%5Cdfrac%7B10%7D%7B11%7D%5C%20lb.)
In exponential form it is given as, 8⁻³ = ![$\frac{1}{512}](https://tex.z-dn.net/?f=%24%5Cfrac%7B1%7D%7B512%7D)
<u>Step-by-step explanation:</u>
We have to write the given equation in the exponential form, that is in the form of base to the power value.
Given:
log₈ (
) = -3
Here the base is 8.
In the exponential form, it is written as,
base to the power 3 = 512
Here the reciprocal of 512 is given, so,
base to the power -3 = ![$\frac{1}{512}](https://tex.z-dn.net/?f=%24%5Cfrac%7B1%7D%7B512%7D)
So the exponential form is given as, 8⁻³ = ![$\frac{1}{512}](https://tex.z-dn.net/?f=%24%5Cfrac%7B1%7D%7B512%7D)