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Ulleksa [173]
3 years ago
6

Find the length of the third side. If necessary, write in simplest radical form. 472 9

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

7

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side be x , then

x² + (4\sqrt{2} )² = 9²

x² + 32 = 81 ( subtract 32 from both sides )

x² = 49 ( take the square root of both sides )

x = \sqrt{49} = 7

Then the third side is 7

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(2/5 + 3/4) x [ 3 - (1/4 : 1/5)]
Volgvan

Answer & Step-by-step explanation:

(2/5 + 3/4) * [ 3 - (1/4 : 1/5)]

When you see this sign, : , it usually means to divide the numbers because they represent some form of a ratio. So, we will divide 1/4 by 1/5.

First, do all of the operations in the parentheses ().

(2/5 + 3/4)*[ 3 - (1/4 : 1/5)]

(23/20) * [ 3 - (5/4)]

(23/20) * (7/4)

Now, we multiply 23/20 by 7/4.

(23/20) * (7/4)

161/80

This number can not be simplified so we will keep it as it is.

So, the answer to this expression is 161/80

6 0
3 years ago
45 POINTS PLEASE HELP
lutik1710 [3]

Hello,

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350.

Which of the following could be combinations of values for the plumber's work hours and total work fee she charges?

Solution:

Find similar ratios to 5/350

Similar Ratios,

1/70

2/140

3/210

3.5/245

4/280

6/420

7.25/507.50

Answers:

B) 3.5 hours and $245

C) 6 hours and $420

D) 7.25 hours and $507.50

5 0
3 years ago
Read 2 more answers
12 out of 20 doctors agree 15 out of 30 doctors agree are the ratios equivalent
uysha [10]
No it is not because 15 out of 30 is half but 12 out of 20 is more than half
4 0
3 years ago
dana is flying a kite whose string is 65 meters long and makes a 70 degree angle with the ground. How far is the kite above the
SSSSS [86.1K]
Here you would want to use the sine function, since it’s making a triangle with the ground, and length of the string, the height to the kite. This can be found by 65sin(70°) which is ≈ 61.08 meters
3 0
3 years ago
The area of a square is 36 square feet. each side of the square measures
choli [55]

6 ft for each side, bc area is side times side, which 6x6=36
6 0
2 years ago
Read 2 more answers
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