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Amanda [17]
2 years ago
12

Choose the set that is the possible side lengths of a right triangle.

Mathematics
1 answer:
irina1246 [14]2 years ago
5 0

Answer:

D

Step-by-step explanation:

Mathematically, for us to have a right triangle, Pythagoras’ theorem must be obeyed

From the theorem, the square of the hypotenuse (longest side) equals the sum of the squares of the two other sides

Let us take a look at the given set of numbers:

2 square is not same as 1 squared + 1 squared

9 squared is not equal to 3 squares + 5 squared

7 squared is not equal to 4 squared + 3 squared

But;

root 2 squared equals 1 squared plus 1 squared and that is our answer

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A rectangular swimming pool is surrounded by a deck as shown. The area (in square feet) of the pool is represented by x^2-10x+16
maw [93]

Answer:

Step-by-step explanation:

First we need to factorize the given area of the rectangle as shown;

Given

A(x) = x^2-10x+16

Factorize

A(x) = x²-8x-2x+16

A(x) = (x²-8x)-(2x+16)

A(x) = x(x-8)-2(x-8)

A(x) = (x-2)(x-8)

Since area of a rectangle = length ×width

Hence the binomial that represents the width of the pool is w(x) = x-2

b) If the width of the deck is 17feet

Width = x-2

17 = x-2

x = 17+2

x = 19feet

Get the length

Length = x-8

Length = 19-8

Length = 11

Get the perimeter

P = 2(L+W)

P = 2(17+11)

P =2(28)

P = 56feet

Perimeter of the deck is 56feet

8 0
3 years ago
Determine whether the two expressions are equivalent. Explain your reasoning.
dlinn [17]
Let us evaluate each pair of expressions one at a time.
8. (n²+4) - n² and 4n.
    (n²+4) - n² = n²+ 4 - n² = 4 which is not equal to 4n.
    NOT EQUIVALENT

9. 3x + 5 and  2(x + 3)
    2(x + 3) = 2x + 6  which is not equal to 3x + 5.
    NOT EQUIVALENT

10. 15 - 6x and  15(1 - 6x)
    15(1 - 6x) = 15 - 90x which is not equal to 15 - 6x
    NOT EQUVALENT

11. (y + y + 2 + y) + 3y and 6y + 2
    (y +y +2 + y) + 3y = y+y+y +2 + 3y = 3y + 2 + 3y = 6y + 2.
    It matches the other expression.
    EQUIVALENT

12. 8y - 3 + 10y and 3(6 - 1)
    8y - 3 + 10y = 8y + 10y - 3 = 18y - 3
    3(6 - 1) = 3(5) = 15
    The two expressions do not match.
    NOT EQUIVALENT.

Answer: Only the expressions in number 11 are equivalent.
6 0
3 years ago
Solve the inequality 3(4x+1)<39
Nonamiya [84]

it's x ≤ 3 :))) I found it out after realizing what you were asking

7 0
3 years ago
Find the area of the sector with a central angle of 120° and a radius of 8 inches. Leave in terms of π
soldier1979 [14.2K]
Centralangle/360 times area of circle=sector area


120/360 times pi8²=
(1/3)(64pi)=64pi/3 square inches
8 0
3 years ago
Read 2 more answers
720,080 in expanded form with exponents. (7*10^5)+
patriot [66]

Answer: 700,000 + 20,000 + 80 = 720,080

Step-by-step explanation:

6 0
2 years ago
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