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3 years ago

Find the surface area of the triangular prism shown below .

Mathematics

1 answer:

Wewaii [24]3 years ago

7 0

Answer:

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3. lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

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22. Find the average of the following numbers: 15, 12, 14, 11, 13. Which

Alekssandra [29.7K]

Answer:

I'm not sure what method this was but I added up all the numbers and divided it by 5.

Step-by-step explanation:

The answer is 13. I added up all the numbers to get 65. Then, I divided 65 by 5 to get 13. Hope this helped!

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3 years ago

Which of the following graphs the equation. <br> Y=1/3x -2

olga_2 [115]

Answer:

I don't know your answer options, but this is what the graph would look like:

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2 years ago

1.)Find the height of a rectangular prism if the surface area is 148 cm2, the width is 4 cm and the length is 5 cm.

Contact [7]

1) surface of a rectangular prism=2(length x width)+2(length x height)+2(width x height)

Therefore:
148 cm²=2(5 cm x 4 cm)+2(5 cm x h)+2(4 cm x h)=
148 cm²=40 cm²+10 cm h+8 cm h
18 cm h=148 cm²-40 cm²
18 cm h=108 cm²
h=108 cm² / 18 cm=6 cm.

answer: height=6 cm

2)
Volume of a rectangular prism= length x width x height
therefore:
34 cm³=(1.7 cm)(0.5 cm) h
0.85 cm² h=34 cm³
h=34 cm³/0.85 cm²
h=40 cm.

answer: height=40 cm

3)
volume of a cylinder: πr²h
therefore.
118.79 ft³=πr²(5 ft)
r=√(118.79 ft³/5π ft)≈2.75 ft

answer: radius=2.75 ft

4)

Surface area of the pyramid with square base=4(A side)+A base
A side=(1/2)(8ft)(12 ft)=48 ft²
A base=(8 ft)(8 ft)=64 ft²

surface area=4(48 ft²)+64 ft²=256 ft²

Answer: the surface area of this pyramid would be 256 ft².

5)
surface of a cone=πrs+πr²
therefore:
radius=diameter/2=6.2 ft/2=3.1 ft
63.3 ft²=π(3.1 ft) s+π(3.1 ft)²
3.1π ft s=33.109 ft²
s=33.109 ft² /3.1π ft
s≈3.4 ft

Answer: the slant height would be 3.4 ft.

6)
volume of a square pyramid=(area of base x heigth)/3
therefore:
area of base=(6 ft)(6 ft)=36 ft²
126.97 ft³=36 ft² h /3
h=126.97 ft³/12 ft²=10.58 ft

answer: the height would be 10.58 ft.

7)
volume of a cone =(base x height)/3
base of a cone=πr²
therefore:
199.23 cm³=πr²(9 cm)/3
r=√(199.23 cm³ / 3π cm)≈4.6 cm

answer: the radius would be 4.6 cm.

5 0

2 years ago

Felix has $1,000 in his savings account. He wants to purchase a motorcycle for $5,000. The seller has agreed to take a payment o

grigory [225]

Answer:

The system of equations is

(1) Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

(2) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(3) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(4) The period it will take for Felix to have enough money to completely pay for his motorcycle is 8 months

Step-by-step explanation:

Here we have

Balance in savings = $1,000

Amount available to Felix each month = $500

Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

= $5,000 - $1,000 = $4,000

Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

The above is given by

Number of months = Amount balance to buy the motorcycle ÷ Amount available to Felix each month

∴ Number of months = $4,000 ÷ $500 = 8 Months

That is Felix will have enough money to pay for his motorcycle in 8 months.

8 0

3 years ago

5tens and 13ones is equal?

Marta_Voda [28]

63
5 tens equals 50
13 ones equals 13
50 +13 = 63

7 0

2 years ago

Read 2 more answers