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tekilochka [14]
3 years ago
13

What is the lateral surface area of the square pyramid represented by this net?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0

Answer:

340 ft²

Step-by-step explanation:

From the diagram, we can see that the shape is made up of a square and 4 triangles. (We know it's a square as its width equals its length).

First, find the area of the square.

Area of a square = width x length = 10 x 10 = 100 ft²

All the triangles are the same, so we need to find the area of one of the triangles and multiply it by 4.

Area of a triangle = 1/2 x base x height = 1/2 x 10 x 12 = 60 ft²

So the total area of all 4 triangles = 4 x 60 = 240 ft²

Therefore the total surface area = 100 + 240 = 340 ft²

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At a camp there is sufficient food for 100 scouts for 12 days if 50 more
Mariulka [41]

Answer:

9 days

Step-by-step explanation:

100 + 50= 150

100 scouts= 12 days

×2 ÷2

200 scouts= 6 days

Midpoint of 100 scouts and 200 scouts= 150

Midpoint of 12 days and 6 days= 9 days

6 0
3 years ago
In a team, the ratio of attackers : defenders is 11:7.
likoan [24]

Answer:

8 more attackers than defenders

Step-by-step explanation:

36÷18=2

2x11=22

2x7=14

6 0
3 years ago
Read 2 more answers
Which method presented by teams in problem 8-48 seemed able to help find the area of other regular polygons? Discuss this with y
Doss [256]

Create a poster or transparency that shows the two different methods that your team used to find the area of the regular hexagon in part (b) of problem 8-43. Then, as you listen to other teams present, look for strategiesthat are different than yours. For each one, consider the questions below. •Which geometric toolsdoes this method use? •Would this method help find the area of other regular polygons (like a pentagon or 100-gon)?8-45. Which method presented by teams in problem 8-44 seemed able to help find the area of other regular polygons? Discuss this with your team. Then find the area of the two regular polygons below. If your method does not work, switch to a different method. Assume Cis the center of each polygon.a. b. 8-46. So far, you have found the area of a regular hexagon, nonagon, and decagon. How can you calculate the area of anyregular polygon? Write a Learning Log entry describing a general process for finding the area of a polygon with nsides. 8-47. Beth needs to fertilize her flowerbed, which is in the shape of a regular pentagon. A bag of fertilizer states that it can fertilize up to 150 square feet, but Beth is not sure how many bags of fertilizer she should buy. Beth does know that each side of the pentagon is 15 feet long. Copy the diagram of the regular pentagon below onto your paper. Find the area of the flowerbed and tell Beth how many bags of fertilizer to buy. Explain how you found your answer. 15 ft 5 C 11 C

5 0
3 years ago
Could someone please help with these two questions (I WILL MARK BRAINLAST)
dmitriy555 [2]

Answer:

1. b

2. -16

Step-by-step explanation:

1. -1+2 is equal to 1 so it works

You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.

2. -(-4)(-5) is -20

-(-4) is = 4

-20+4 is -16

8 0
3 years ago
Habib is making some scones.
sergeinik [125]

Answer:

180^\circ C

Step-by-step explanation:

To convert from degree Fahrenheit to Celsius, we use the formula:

^\circ C=\dfrac{5^\circ F-160}{9}

If Habib's recipe is to be baked at 356 degree Fahrenheit, then we substitute F=356 to obtain an equivalent value in degree Celsius.

\text{Temperature in }^\circ C=\dfrac{5^\circ F-160}{9}\\=\dfrac{5*356-160}{9}\\=\dfrac{1780-160}{9}\\=\dfrac{1620}{9}\\\text{Temperature in }^\circ C=180^\circ C

Habib should bake his scones at 180^\circ C.

6 0
3 years ago
Read 2 more answers
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