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marusya05 [52]
3 years ago
14

A rancher is putting a fence around a square animal pen. The perimeter of the pen is 32 feet. The fence posts will be 16 inches

apart. She starts by putting 1 fence post at each corner of the pen. How many fence posts dose she use altogether? DRAW A PICTURE TO MODEL THE PROBLEM.
Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0
21 fence posts. i dont know how to draw a picture on this site, but you covert 16in to ft and then divide 32 by 1.5
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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
(3n-2)(4n+1)<br> how do i solve this by factoring?
Anni [7]

Answer:

12n^2-5n-2

The expression (3n-2)(4n+1) can be factored with the Distributive Property. It cannot be factored with a Least Common Multiple (LCM), for instance, because the terms within each set of parentheses are completely simplified.

Step-by-step explanation:

Part I

.1. (3n-2)(4n+1)\\2. F.O.I.L.: 12n^2+3n-8n-2\\3. Simplify: 12n^2-5n-2\\

Good luck to you!

8 0
3 years ago
How would a bigger down payment be beneficial to borrowers? a. A bigger down payment is only beneficial for a person applying fo
lawyer [7]

The correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.

<h3>What is interest?</h3>

The amount of money a lender or financial organization earns for lending out money is known as interest.

We know that monthly payments include the interest on the principal amount that is not been paid during the purchase of an item, if the down payment is more than the principal amount that the customer does not pay will decrease which will decrease the loan amount, thus, the interest on the principal amount will decrease as well.

Now, as the interest and the principal amount have both is been reduced, therefore, the monthly instalment(monthly payment) will be reduced as well.

Hence, the correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.

Learn more about Interest:

brainly.com/question/2793278

3 0
2 years ago
The<br> 10. A jet flies at an altitude of 52,800 feet.<br> What is the height of the jet in miles?
aliya0001 [1]

Answer:

The Answer is 10 Miles.

Step-by-step explanation:

The jet is 52,800 feet high.

There are 5,280 feet in a mile.

Divide 52,800 by 5280 to find miles:

52800 / 5280 = 10 Miles.

Hope this Helps!  Have an Awesome Day!! :-)

5 0
3 years ago
Read 2 more answers
If you flip a coin ten times, how many diffrent sequences of heads and tails are possible
nikdorinn [45]

Answer:

I'm pretty sure its D

Step-by-step explanation: Brainliest???

3 0
3 years ago
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