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Taya2010 [7]
3 years ago
10

What is the area of the figure, and please show the steps?

Mathematics
2 answers:
DIA [1.3K]3 years ago
8 0
Hope this helps you!!!

frosja888 [35]3 years ago
6 0
ABC is an isoceles triangle as both the base angles equals to 45°.
Therefore, according to Pythagoras Theorem
24^2= 2X^2
X= √288
X= 16.97 ft

Area= 1/2*base*height
= 1/2*16.97*16.97
= 144ft^2 (approx)
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Need help asappppppp​
PilotLPTM [1.2K]

Given:

The right triangular prism.

Height of prism = 28 in.

Hypotenuse of base = 25 in.

leg of base = 24 in.

To find:

The lateral surface area of the prism.

Solution:

Pythagoras theorem:

Hypotenuse^2=Perpendicular^2+Base^2

Using Pythagoras theorem in the base triangle, we get

25^2=24^2+Base^2

625-576=Base^2

\sqrt{49}=Base

7=Base

The perimeter of the triangular base is:

P=7+25+24

P=56

Lateral area of a triangular prism is:

A=Ph

Where, P is the perimeter of the triangular base and h is the height of the prism.

Putting P=56,h=28 in the above formula, we get

A=56(28)

A=1568

Therefore, the lateral area of the prism is 1568 in².

8 0
2 years ago
85% of the people survey thought the price of the car wash was reasonable. If 164 people thought the cost of the car wash was re
8090 [49]

192 people were survey

Step-by-step explanation:

The given is:

  • 85% of the people survey thought the price of the car wash was reasonable
  • 164 people thought the cost of the car wash was reasonable

We need to find how many people were survey

Assume that x people were survey

∵ There were x people survey

∵ 85% of them thought the price of the car wash was reasonable

∴ The number of the people who thought the price of the car wash

   was reasonable = 85% × x

∵ 85% = \frac{85}{100} = 0.85

∴ The number of the people who thought the price of the car wash

   was reasonable = 0.85 x

∵ 164 people thought the cost of the car wash was reasonable

- Equate 0.85 x and 164

∴ 0.85 x = 164

- Divide both sides by 0.85

∴ x = 192.94

∵ x represents a number of people, then it must be integer

∴ The number of people were survey = 192

192 people were survey

Learn more:

You can learn more about percentage in brainly.com/question/12960754

#LearnwithBrainly

7 0
3 years ago
Drag each capacity to match it to an equivalent capacity.
weqwewe [10]

Answer:

  • 2 cups         ⇔ 16 fluid ounces
  • 96 ounces   ⇔ 6 pints
  • 12 pints        ⇔ 24 cups
  • 4 quarts       ⇔ 1 gallon

<em>Also see attached</em>

3 0
2 years ago
Read 2 more answers
Identify the correct equation from the graph.
Margarita [4]

Answer:

I think is D

Step-by-step explanation:

3 0
2 years ago
Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
Goryan [66]

Answer:

He can make only one batch of cookies.

Step-by-step explanation:

Just by mental math you can say he can make maximum one batch of cookies.

Total sugar = 10 cups

sugar used for lemonade = 2 cups

leftover sugar = 8 cups

For 1 batch of cookie sugar needed = 11/2

which means 5 and 1/2 cups

And he's just left with 8 cups of sugar after lemonade

8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch

That means the maximum number of cookies batches is 1.

Another way to solve it by inequality:

2+Il/2 X <u><</u> 10

11/2 X <u><</u> 8

11X <u><</u> 16

X <u><</u> 1 6/11

So he can make only one batch of cookies.

3 0
3 years ago
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