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melisa1 [442]
3 years ago
10

You help your dad build a dog house for your dog. You tell him that it would be easy to build a dog house in the shape of a tent

. The slanted sides are 5 feet long and the bottom of the house is 8 feet across. You draw him the following illustration to help him find the height of the dog house. What do you tell him the height of the dog house is?
Mathematics
1 answer:
Effectus [21]3 years ago
6 0
3 feet tall
If it is in the shape of a tent and the floor is 8 feet across half of it cut down the middle would be 4 ft, you create a right triangle and can use the Pythagorean theorem to solve for the height. 5 is the hypotenuse and 4 is a leg.
a^2 + b^2 = c^2
Plug in  the values known
4^2 +b^2 = 5^2
simplify
16+b^2=25
subtract 16 from both sides
b^2=9
take the square root of both sides
b=3 the hight is 3 ft

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3 0
3 years ago
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Four hu
castortr0y [4]

<em>Answer: h = 120 ft;    w = 80 ft </em>

<em></em>

<em>A = 9600 ft^2</em>

<em />

<em>Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:</em>

<em></em>

<em>A = h*w   (eq1)</em>

<em></em>

<em>The total amount of fence used is:</em>

<em></em>

<em>L = 2*h + 2*w + w    (eq2)    (an extra distance w beacuse of the division)</em>

<em></em>

<em>Solving for w:</em>

<em></em>

<em>w = L - 2/3*h = 480 - 2/3*h   (eq3)  Replacing this into the area eq:</em>

<em></em>

<em></em>

<em></em>

<em>We derive this and equal zero to find its maximum:</em>

<em></em>

<em>   Solving for h:</em>

<em></em>

<em>h = 120 ft.  Replacing this into eq3:</em>

<em></em>

<em>w = 80ft</em>

<em></em>

<em>Therefore the maximum area is:</em>

<em></em>

<em>A = 9600 ft^2</em>

<em />

5 0
3 years ago
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4 0
3 years ago
I have no idea how to solve this
Anvisha [2.4K]

Answer:

awww neither do i

Step-by-step explanation:

lol I got a 72 on my matb homework going to go jump off a cliff

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2 years ago
I have 3 quarter , 1 nickel , 1 dime , and 3 penny . But I want to divided 2 people .
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The answer would be 93 cents divide it by 2 since you want to share with someone and you would have 46 cents and a nickel for both people

7 0
3 years ago
Read 2 more answers
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