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Marat540 [252]
2 years ago
7

If the volume of the square pyramid is 40 cubic millimeters, and the length of s is 2 millimeters, what is the length of the alt

itude, h?
Mathematics
2 answers:
alisha [4.7K]2 years ago
5 0

Answer: the length of the altitude is 10 mm

Step-by-step explanation:

The formula for determining the volume of a square base pyramid is expressed as

Volume = Ah

Where

A represents the area of the square base.

h represents the height or altitude of the pyramid.

From the information given,

Length of each side of the square base = 2 millimeters

Volume of the square pyramid is 40 cubic.

Area of square base = 2² = 4 mm²

Therefore,

40 = 4h

h = 40/4

h = 10 mm

ira [324]2 years ago
4 0

Answer:

Step-by-step explanation:

Idk

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Planes X and Y and points C, D, E, and F are shown.
viva [34]

Answer:

The answer is below

Step-by-step explanation:

The planes are shown in the image below.

From the image, points D and E are on plane Y, while point F is on plane X.

A) The line that can be drawn through points C and D is  contained in plane Y.

This statement is wrong because point C is not in plane Y

B) The line that can be drawn through points D and E is  contained in plane Y.

Correct. Since both points D and E are on plane Y, hence The line that can be drawn through points D and E is  contained in plane Y.

C) The only point that can lie in plane X is point F.

This statement is correct because from the image only point F is on plane X.

D) The only points that can lie in plane Y are points D  and E.

This statement is correct because from the image only point D and E is on plane Y.

5 0
2 years ago
If the battery costs $75 and has a life of 300 charge-discharge cycles, what is the cost of the energy in dollars per kilowatt h
kumpel [21]

Answer:

I'm sorry but no idea

Step-by-step explanation:

No idea

3 0
3 years ago
( 9b - 3 ) ( b + 6 ) <br> Simplify this expression ! <br> Please answer this !!
Colt1911 [192]

Answer:

9b^2+3b-18

Step-by-step explanation:

make a box and multiply each of the parts

7 0
3 years ago
Explain why f(x) = x2+4/x2-x-2 is not continuous at x = 2.
xxTIMURxx [149]

Answer: Option a.

Step-by-step explanation:

 Make the denominator equal to zero and solve for x:

Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:

x^{2}-x-2=0\\(x-2)(x+1)=0\\x=2\\x=-1

Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2

The answer is the option a.

6 0
3 years ago
Read 2 more answers
A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximat
Andreas93 [3]

Answer:

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

<u>First, we need to calculate the daily growth rate:</u>

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

<u>Now, by using the following formula, we can determine the population p in any given day t:</u>

FV(p)= PV*(1 + g)^t

<u>For, example after 7 days:</u>

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

<u>For example, after 10 days:</u>

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

4 0
2 years ago
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