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prohojiy [21]
3 years ago
5

Find the perimeter of the right triangle.

Mathematics
2 answers:
Contact [7]3 years ago
3 0

Answer:

b. 36

Step-by-step explanation:

You have to use Pythagorean theorem. A squared + b squared = c squared.

a=12    12^2 (12 squared)= 144

b=9      9^2 (9 squared)= 81

144+81=225

Then you find the square root of 225 which is 15. Since you have the length for side c.

12+9+15=36

n200080 [17]3 years ago
3 0

Answer:


Step-by-step explanation

You would first have to find the hypotenuse to do that you would follow the formula c = √a²+b², giving you 15.

Next you would add all the sides P = a+b+c, giving you 36.

The perimeter of this triangle would be 36.

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An arithmetic sequence is represented by the recursive formula a1=17an=an−1−8 . What is the fourth term in the sequence? a4=−4 a
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Answer:

a₄ = - 15

Step-by-step explanation:

Using the recursive formula and a₁ = 17 , then

a₂ = a₁ - 8 = 17 - 8 = 9

a₃ = a₂ - 8 = 9 - 8 = 1

a₃ = a₂ - 8 = 1 - 8 = - 7

a₄ = a₃ - 8 = - 7 - 8 = - 15

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3 years ago
Jordan went to the store to buy a bicycle that was advertised for $50. When he arrived, he learned that the model he wanted was
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Read 2 more answers
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
A group of four friends went out for dinner. Their bill came to $50.95. They also need to pay 8% sales tax, and want to tip thei
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Answer:

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Step-by-step explanation:

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6

3 0
3 years ago
What’s the identity property of addition?
Novosadov [1.4K]

Answer:

Identity property of addition: The sum of 0 and any number is that number. For example, 0 + 4 = 4 0 + 4 = 4 0+4=40, plus, 4, equals, 4.

Step-by-step explanation:

4 0
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