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mamaluj [8]
3 years ago
7

Find the missing length . Leave your answers in simplest radical form

Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0

Use Pythagorean theorem:

x^2+5^2=(\sqrt{122})^2\\\\x^2+25=122\qquad\text{subtract 25 from both sides}\\\\x^2=97\to x=\sqrt{97}

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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
33°<br> (3m + 3)<br> ent OR Vertical_<br> Angle Relationship: Complementary OR Supplementary
Reptile [31]

Answer:

complementary

Step-by-step explanation:

because the angles add up to 90°

3 0
3 years ago
Dominick’s unpaid credit card balance was $2103.24. His APR is 14.4%.
Hatshy [7]
New balance=previous balance+finance charge+New transaction

First we need to calculate the finance charge in order to find the new balance

Finance charge=2,103.24×(0.144÷12 months)
=25.24

New balance
2,103.24+25.24+280
=2,408.48

Hope it helps!
4 0
3 years ago
A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for pie.
Afina-wow [57]

circumference = diameter x PI

 3300 *3.14 = 10,362 feet

7 0
3 years ago
Read 2 more answers
If mollie can travel 250 miles in 90 minutes how far can she travel in 6 hours?
lozanna [386]
She can travel 3000 miles
7 0
3 years ago
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