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zhuklara [117]
3 years ago
14

If one leg of a right triangle is 8 mm and the other leg is 5 mm, what is the approximate length of the hypotenuse of the triang

le? round your answer to the nearest whole.
Mathematics
2 answers:
Dmitry [639]3 years ago
6 0
The formula to calculate the missing side of a triangle is the Pythagorean theorem:

c² = a² + b²

In your case, c will be the hypotenuse:

c^{2} =  8^{2} + 5^{2} 

c^{2} = 64 + 25
c^{2} = 89
c =  \sqrt{89}
c = 9,43 

The answer is 9mm.

Hope it helped!
lapo4ka [179]3 years ago
3 0
Answer: 9 mm

Explanation:

a² + b² = c²
8² + 5² = c²
c² = 64 + 25
c² = 89
c= √89
c = 9 mm (nearest whole number)
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Shashi has a rectangular garden. The length of the garden is 4 feet less than twice the width. The area of the garden is 448 squ
Komok [63]

Answer:

28 feet

Step-by-step explanation:

Area of a rectangle is :

A = L × W

We are given A and a expression for L, so let's substitute :

448 = (2W-4) × W

Now we expand the left side :

2W²-4w = 448

Subtract 448 from both sides :

2W²-4W-448 = 0

Divide everything by 2 :

W²-2W-224 = 0

Now we factorise :

Find 2 numbers that multiply to give -224 and add to give -2 :

-16 and 14

Rewrite -2W with -16W and +14W :

W² - 16W + 14W -224 = 0

W(W-16)  +14(W-16) = 0

(W+14)(W-16) = 0

W = -14 ,  W = 16

Only take positive value since this is lengths :

W = 16

Now we substitute W into the expression to find L :

L = (2W -4)

L = 2(16) - 4

L = 32 - 4

L = 28

Units will be feet since it is a length

Hope this helped and have a good day

7 0
2 years ago
What is 3(n+1)= 3+1=4
patriot [66]

Answer:

n = \frac{1}{3}

Step-by-step explanation:

3(n+1) = 4

distributive property means multiply every term in the parentheses by the number on the left and add the new terms.

(3*n) + (3*1) = 4

3n + 3 = 4

     -3    -3         subtract 3 from both sides.

3n = 1

/3     /3                divide by 3 on both sides.

n = \frac{1}{3}

6 0
3 years ago
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