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allsm [11]
3 years ago
10

Find the Lateral area of a square pyramid with a slant height of 22m and a base length of 8m

Mathematics
1 answer:
Kay [80]3 years ago
7 0

Answer: 352 m^{2}

Step-by-step explanation:

To find the Lateral area of a square pyramid , we will follow the three steps below:

1. Find the perimeter of the base

2. Multiply the perimeter by the slant height

3. Divide the result above by 2

That is :

The lateral surface area of a regular pyramid is lateral area = perimeter of base x slant height of pyramid) ÷ 2.

Applying the formula above:

1. The base is a square , therefore the perimeter of a square is 4L , That is

Perimeter = 4(8)

Perimeter = 32m

2. Perimeter x slant height  , that is

32 x 22 = 704m

3. Dividing the result by 2 , we have :

704/2 = 352

Therefore , the Lateral area of the pyramid is 352 m^{2}

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Population Growth The population of a town of 5000
Nesterboy [21]

Answer:

a) A=5000{(1.03)}^{t}

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of <em>t</em>.

a)

A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}

b) Apply the formula:

A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464

The town will have 5464 inhabitants.

5 0
3 years ago
Peggy takes 2.5 hours to deliver 328 magazines. What is the rate per hour she is delivering the magazines
grandymaker [24]

Answer: 131 magazines per hour

Step-by-step explanation:

Peggy delivered 328 magazines in 2.5 hours.

To find out the rate at which she delivered these magazines, divide the number of magazines by the time taken to deliver them:

= Magazines / Time in hours

= 328 / 2.5

= 131 magazines per hour

3 0
2 years ago
Decrease 40 by 62 1/2%
skelet666 [1.2K]

Answer:

15

Step-by-step explanation:

Take 62.5 from 100  = 37.5

divide this by 100 = 0.375

times 40 by this

0.375 x 40 = 15

4 0
3 years ago
Represent -2/11, -5/11, -9/11 on a number line.
tiny-mole [99]

Answer:

-9/ 11 ____-5/11 _____ - 2/11

Step-by-step explanation:

-2/11, -5/11, -9/11

All the numbers are negative ; the fraction which is largest is 9/11 ; then 5 /11 ; then 2 /11 ; however, since they are negative, they largest fraction becomes the least value.

Numbers on a number line are arranged from least to highest. Hence the numbers will be arranged in a number line as follows :

-9/ 11 ____-5/11 _____ - 2/11

8 0
3 years ago
The percentage of obese children aged 12-19 years in the United States is approximatelyP(t) = 0.04t + 4.6 if 0 ≤ t &lt; 10−0.010
Art [367]

Answer:

4.8% of of obese children aged 12-19 at the beginning of 1975.

9.15% of obese children aged 12-19 at the beggining of 1986

13.94% of obese children aged 12-19 at the beggining of 1995

Step-by-step explanation:

The percentage of obese children aged 12-19 years in the United States is given by the following piecewise function:

P(t) = \left \{ {{0.04t + 4.6, 0 \leq t < 10}\atop {-0.01005t^{2} + 0.945t - 3.4, 10 \leq t < 30}} \right.

In which t is measured in years.

What was the percentage of obese children aged 12-19 at the beginning of 1975?

This is the value of P when t = 5, so P(5).

For P(5), we apply the first definition of the piecewise function.

P(5) = 0.04(5) + 4.6 = 0.2 + 4.6 = 4.8

At the beginning of 1986?

The value of P when t = 16, so P(16).

For P(16), we apply the second definition of the piecewise function.

P(16) = -0.01005(16)^{2} + 0.945(16) - 3.4 = 9.15

At the beginning of 1995?

The value of P when t = 25, so P(25).]

For P(25), we apply the second definition of the piecewise function.

P(16) = -0.01005(25)^{2} + 0.945(25) - 3.4 = 13.94

6 0
3 years ago
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