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Butoxors [25]
4 years ago
11

Find the surface area of a square pyramid with base length of 16 cm and a slant height of 20 cm

Mathematics
1 answer:
Lerok [7]4 years ago
4 0

Answer:

The surface area of the square pyramid is 1,040 cm^{2}

Step-by-step explanation:

To find the surface area of the square pyramid, we make use of the mathematical formula.  

Mathematically, the formula for calculating the surface area A  of a square pyramid is :

SA = s^{2} + 2sl where s is the slant height and l is the base length

From the question, we can see that the slant height is 20cm and the base length is 16cm. We plug these into the equation above;

SA = 20^{2} + 2 * 16 * 20 = 400 + 640 = 1,040 cm^{2}

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2х - бу = 2<br>x + бу = 28​
scZoUnD [109]

Answer:

x = 10

y = 3

Step-by-step explanation:

Given

2x - 6y = 2

x + 6y = 28

Add both equations

2x + x -6y + 6y = 2 + 28

3x = 30

Divide both sides by 3

x = 30/3

x = 10

Substitute 10 for x in either equations to get y

Using equation 2 , we have

x + 6y = 28

10 + 6y = 28

Subtract 10 from both sides

10 - 10 + 6y = 28 - 10

6y = 18

Divide both sides by by 6

y = 18/6

y = 3

Therefore

x = 10

y = 3

7 0
3 years ago
A square patio has an area of 150 square feet. how long is each side of the patio to the nearest tenth?
Solnce55 [7]

length of each side of the patio to the nearest tenth is 12.247 ft.

<h3>How to find the length of each side of the patio to the nearest tenth?</h3>

given that A square patio has an area of 150 square feet.

we know that area of square is

{a}^{2}  = 150 \\ a =  \sqrt{150} \\  a = 12.247 \: ft

therefore, length of each side of the patio to the nearest tenth is 12.247 ft.

Learn more about area of square, refer:

brainly.com/question/25092270

#SPJ4

4 0
2 years ago
A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr
worty [1.4K]

Answer:  The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation:  Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8  and  n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.

Now, the probability of pulling three green marbles out with replacement is given by

P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

4 0
3 years ago
Find the value of x.
Solnce55 [7]

Answer:

x = 12

Step-by-step explanation:

Angle Bisector Theorem:  PS / PQ = RS / QR

24/14 = x/7

cross-multiply:

14x = 168

x = 12

3 0
3 years ago
Maury and his mom painted the rectangular wall in Maury room Maury painted 1/6 of the wall and his mom painted 1/4 of the wall H
sasho [114]

Answer: 7/12

Step-by-step explanation:

1- 1/6 - 1/4

5/6 - 1/4

10/12 - 3/12

7/12 left

4 0
3 years ago
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