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-BARSIC- [3]
3 years ago
8

In ΔEFG, the measure of ∠G=90°, GF = 33, FE = 65, and EG = 56. What ratio represents the sine of ∠F?

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0
<h3>Answer:  56/65</h3>

Work Shown:

sin(angle) = opposite/hypotenuse

sin(F) = EG/FE

sin(F) = 56/65

Refer to the diagram below.

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Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 s
mrs_skeptik [129]

Answer:

1. Base of pyramid; 6 in by 6 in

2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.

3. twice the area of the square

4. Area = 228 inches squared

Step-by-step explanation:

For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.

<h3>Step 1. Add all surface areas together</h3>

Prism: 6 surfaces

Surface area = 216 inches sq

  • Front = 6 x 6 = 36
  • Back = 6 x 6 = 36
  • Top = 6 x 6 = 36
  • Bottom (base) = 6 x 6 = 36
  • Side = 6 x 6 = 36
  • Other side = 6 x 6 = 36

Pyramid: 5 surfaces

Surface area = 84 inches sq

  • Bottom (base) = 6 x 6 = 36
  • Front triangle = (6 x 4)/2 = 12
  • Back = (6 x 4)/2 = 12
  • Side = (6 x 4)/2 = 12
  • Other side = (6 x 4)/2 = 12

TOTAL surface area: 216 inches + 84 inches = 300 inches sq

<h3>Step 2. Subtract surfaces that are NOT being painted</h3>

300 - base of pyramid - base of prism

300 - 2(36)

300 - 72

<u>228 inches sq</u>

Hope this helps!

Download pdf
5 0
2 years ago
The town of Passaic had 58,753 people in 1990 and 71,509 people in 2014.
OLEGan [10]

Answer:

21.71% increase

Step-by-step explanation:

increase = Increase ÷ Original Number × 100

12756/58753*100

0.217112318*100

21.71% increase.

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3 years ago
Please help me due in an hour
Leokris [45]

Answer:

Ok so it would be square root 1

Step-by-step explanation:

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2 years ago
Write the first four multiples of each number.<br><br>1. 3 <br>2. 4<br>3. 8 <br>4. 15
Levart [38]

Answer:

3, 6, 9, 12

4, 8, 12, 16

8, 16, 24, 32

15, 30, 45, 60

Step-by-step explanation:

multiply each number by itself

5 0
3 years ago
HELP ONE QUESTION <br> I WILL CROWN BRAINLIEST!!
Daniel [21]

Answer:

In the picture I send above shows the step by step how to get the answers. Cheers!

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