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kirill115 [55]
3 years ago
9

A right triangle has side lengths that are consecutive interest and a perimeter of 12 feet what are the angles of the triangle

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0

Answer:

Step-by-step explanation:

The sides are consecutive integers and the perimeter is 12 ft.

3 ft, 4 ft, 5 ft

One angle is 90°, one angle is arcsin(3/5) ≅ 36.9°

the remaining angle is 90-36.9 = 53.1°

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Answer:

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3 years ago
The base of a triangle is 7 inches more than 4 times the height. If the area of the triangle is 93 square inches, find the base
Galina-37 [17]

Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

4h^2 + 7h = 186                   Subtract 186 from both sides.

4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

b = 7

c = - 186

x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

x1 = (-7 + sqrt(49 - 16*(-186)) / 8

x1 = (-7 + sqrt(49 + 2976)) / 8

x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

x1 = (48)/8

x1 = 6

There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

4 0
2 years ago
What relation is a graph that is just a straight horizontal line, no slope or anything.
zubka84 [21]

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5 0
3 years ago
which expressions represents a 20% discount off the price of an item that originally cost D dollars ​
Charra [1.4K]

Answer:

D - (D/5)

Step-by-step explanation:

Let's imagine that D equals 100 dollars -

Well, we know that to get 20% of an amount, we need to divide the amount by five. So let's do that -

100 / 5 = 20

We now know that 20% of 100 dollars is equal to 20 dollars. We have now finished the first part. On to the second part.

We now need to take away 20% of 100 dollars off of 100 dollars - this is the price of the item after the discount.

100 - 20 = 80 dollars.

We now fit in D instead of 100 dollars -

D - (D/5)

6 0
3 years ago
Read 2 more answers
Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius o
devlian [24]
The height of the can for this case is given by:
 h = 40 mm
 The radius of the can is given by:
 r = (1 3/8) * h
 Substituting values:
 r = (1 3/8) * 40
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 Therefore, the diameter of the can is:
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 d = 110 mm
 Answer:
 
The diameter of the can will be:
 
d = 110 mm
3 0
3 years ago
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