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3 years ago

A square pyramid is shown below: What is the surface area of the pyramid?

Mathematics

1 answer:

Reptile [31]3 years ago

8 0

Well first you would find the area of the square on the bottom
Which would be:
0.7*0.7= .49
Then we would find the area of one of the triangles on the side:
8*0.7= 5.6* 1/2= 2.8
Next, you will multiply the 2.8 by 4, because there are 4 triangles:
2.8*4=11.2
Finally add the 11.2 to the area of the square, and you'll have your answer.
.49+11.2= 11.69
So, B is your answer

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If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by

Vitek1552 [10]

Answer:

a) Average velocity at 0.1 s is 696 ft/s.

b) Average velocity at 0.01 s is 7536 ft/s.

c) Average velocity at 0.001 s is 75936 ft/s.

Step-by-step explanation:

Given : If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by $y = 70t-16t^2$ .

To find : The average velocity for the time period beginning when t = 2 and lasting. a. 0.1 s. , b. 0.01 s. , c. 0.001 s.

Solution :

a) The average velocity for the time period beginning when t = 2 and lasting 0.1 s.

$(\text{Average velocity})_{0.1\ s}=\frac{\text{Change in height}}{0.1}$

$(\text{Average velocity})_{0.1\ s}=\frac{h_{2.1}-h_2}{0.1}$

$(\text{Average velocity})_{0.1\ s}=\frac{(70(2.1)-16(2.1)^2)-(70(0.1)-16(0.1)^2)}{0.1}$

$(\text{Average velocity})_{0.1\ s}=\frac{69.6}{0.1}$

$(\text{Average velocity})_{0.1\ s}=696\ ft/s$

b) The average velocity for the time period beginning when t = 2 and lasting 0.01 s.

$(\text{Average velocity})_{0.01\ s}=\frac{\text{Change in height}}{0.01}$

$(\text{Average velocity})_{0.01\ s}=\frac{h_{2.01}-h_2}{0.01}$

$(\text{Average velocity})_{0.01\ s}=\frac{(70(2.01)-16(2.01)^2)-(70(0.01)-16(0.01)^2)}{0.01}$

$(\text{Average velocity})_{0.01\ s}=\frac{75.36}{0.01}$

$(\text{Average velocity})_{0.01\ s}=7536\ ft/s$

c) The average velocity for the time period beginning when t = 2 and lasting 0.001 s.

$(\text{Average velocity})_{0.001\ s}=\frac{\text{Change in height}}{0.001}$

$(\text{Average velocity})_{0.001\ s}=\frac{h_{2.001}-h_2}{0.001}$

$(\text{Average velocity})_{0.001\ s}=\frac{(70(2.001)-16(2.001)^2)-(70(0.001)-16(0.001)^2)}{0.001}$

$(\text{Average velocity})_{0.001\ s}=\frac{75.936}{0.001}$

$(\text{Average velocity})_{0.001\ s}=75936\ ft/s$

5 0

4 years ago

Lincoln invested $440 in an account paying an interest rate of 5\tfrac{7}{8}5 8 7 % compounded continuously. Robert invested $

Sidana [21]

Answer: $34

Step-by-step explanation:

5 0

3 years ago

36,000 people attended a basketball game. If 80% of the seats are filled, how many seats are in the ballpark?

alukav5142 [94]

Answer:

45000 seats

Step-by-step explanation:

the formula would be x=36000/.8

so x would equal 45000

hope this helps!! :)

3 0

3 years ago

Explain how to find the value of z if you know that 100x*2 + 120x + z is a perfect square trinomial

wariber [46]

Divide the value of "b" by 2 and then square it.

(b / 2)²
= (120 / 2)²
= (60)²
= 3600

Therefore the value of z is 3600. That's at least what I believe lol

7 0

3 years ago

Read 2 more answers

What is the range of<br> f(x) = 3x2^x

ZanzabumX [31]

Range = 0
{y|y > 0}
Hope it helps you

3 0

3 years ago