1.

The surface area of a certain pyramid is 54 square meters.

Its volume is 648 cubic meters. If a similar pyramid has a

volume of 8232 cubic meters, what is its surface area?

Answers

Answer 1

Answer:

294 square meters

Step-by-step explanation:

The surface area of a certain pyramid is 54 square meters. Its volume is 648 cubic meters. If a similar pyramid has a volume of 8232 cubic meters, what is its surface area?

We solve the above question using Proportion

The surface area of a certain pyramid

= 54 square meters.

Volume of certain pyramid =

648 cubic meters.

Surface area of similar pyramid = x

Volume of similar pyramid = 8232 cubic meters.

Hence,

Surface area : Volume

= Surface area/ Volume

= 54 m²/648 m³ = x/8232 m³

Cross Multiply

54 × 8232 = 648 × x

x = 54 × 8232/648

x = 294 square meters


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Step-by-step explanation:

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The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount of rain in Houston?

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Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  (a)  2S, 1A

Step-by-step explanation:

A triangle is completely specified when all three sides and all three angles are known. This triangle shows the measure of 1 side, so 2 sides are missing (2S). It shows the measures of angle Q and P, so angle N is missing (1A).

The missing information is 2 sides and 1 angle: 2S, 1A.

Solve the right triangle shown in the figure, given the following measures. Remember, exact lengths can be approximated on a calculator. For example, StartRoot 2 EndRoot almost-equals 1.414. Angle A = 45 degrees, side A B = 12 StartRoot 2 EndRoot centimeters, Angle C = 90 degrees a. Side B C = 6 StartRoot 3 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 3 EndRoot centimeters b. Side B C = 6 StartRoot 2 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 2 EndRoot centimeters c. Side B C = 24 centimeters, angle B = 45 degrees, Side A C = 24 centimeters

Answers

Answer:

D. BC = 12cm, <B = 45, AC = 12cm

Step-by-step explanation:

Edge 2021

The measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

What are right triangles?

A right triangle is a triangle that has one of its angle measure to be 90 degrees.

From the question, we have:

Angle B = 45 degrees

Since angle B is 45 degrees, then the legs of the triangle are equal (i.e. 12 cm)

Hence, the measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

Read more about right triangles at:

brainly.com/question/2437195

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1+1
I'm on my sisters fone I'm in kindrgarden.​

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Answer

2

Step-by-step explanation:

1+1 equals 2.

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Answer:

24 units squared

Step-by-step explanation:

Remember, it's the surface area: count the squares that are in the shape. 24 is the answer.

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

3 bags of chocolate chips and 3 bags of walnuts

Step-by-step explanation:

1 pound = 16 ounces (oz). So, our dear Jemina needs 48 ounces. Then, we do system of equations. one of the equations are 3x +2y = 15(dollars), and then second is 12x + 4y = 48. (ounces/pound). Let's solve for x first. We multiply the dollars equation by 2 to eliminate y from both equations. 6x +4y = 30. When you subtract, you get 6x = 18. So, x = 3, Jemina buys 3 chocolate chips bags. So, thats $9. So, she also spends $6 on walnuts. For checking, 3 bags of chocolate chips  = 36 ounces. 3 bags of walnuts = 12 ounces. 36+12 ounces  = 48 ounces. :D

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Answers

Answer: 1668.2

→ Hope this helps!←

Frank had $65. He spent $2 per day for 7 days. Then he was given $9 to divide equally between himself and his 2 brothers. The following expression can be used to find the amount of money Frank had after that.
65 - 2 ⋅ 7 + 9 ÷ 3 .
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Answers

Answer:

54

A.)

Step-by-step explanation:

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Answers

Answer:

x = 12

Step-by-step explanation:

(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees

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/14  |   /14

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Sorry! gtg I hope this helps!

A pair of AirPods cost $120 at the store. A
person bought a pair and sold it online for
$150. What is the percent of increase?

Answers

Answer:

20 is the correct answer

Answer:

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Step-by-step explanation:

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the width of a rectangle is 8 feet and the diagnal length of the rectangle is 13 feet which measurement is closest to the length of this rectangle in feet

Answers

Answer:

Well the whole answer is 10.246950 smth smth but I don’t have the multiple choices so your gonna have to round yourself

Step-by-step explanation:

Okay so you have a weigh of 8 and a diagonal of 13.

If you look, theres a triangle there. One side has 8 and the diagonal that was cut forms a 13. So we have a leg and a hypotnuse. To find the other leg (length) just follow the Pythagorean theroum and solve for b or a.

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Answer:

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Step-by-step explanation:

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Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere armar tres líneas del mismo tamaño, una de cada color y sin cortar ninguna tira. a) ¿Cuánto va a medir la menor línea que se puede armar con cada color? b) ¿Cuántas tiras se deben utilizar? c) ¿Cuántas de cada color?

Answers

Answer:

a) Smallest line that can be made with each color = 300 cm

b) Total strips should be used = 47 strips

c) Total strips used of blue color = 20

  Total strips used of green color = 15

  Total strips used of red color = 12

Step-by-step explanation:

Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.

To find - a) How long is the smallest line that can be made with each color?

              b) How many strips should be used?

              c) How many of each color?

Proof -

a)

For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.

Firstly,

Decompose the 3 strips to its prime factors , we get

15 = 3×5

20 = 2²×5

25 = 5²

So,

The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300

∴ we get

Smallest line that can be made with each color = 300 cm

b)

Now,

Total strips used = 300 cm

Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips

Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips

Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips

So,

Total strips should be used = 20 + 15 + 12 = 47 strips

c)

Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

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........

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