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OLga [1]
3 years ago
8

Find the length of the missing side of the triangle below. Give both exact and approximate answer. Round answer to nearest tenth

s if necessary.

Mathematics
1 answer:
Drupady [299]3 years ago
4 0

Answer:

c = √85

c = 9.2

Step-by-step explanation:

a² + b² = c²

7² + 6² = c²

49 + 36 = c²

85 = c²

c = √85

c = 9.2

You might be interested in
The longest side of a triangle is 4 more than twice the shortest. The third side is 3 more than the shortest. The perimeter is 3
kondaur [170]

Answer:

The shortest side = 6

The third side = 9

The hypotenuse (the longest side) = 16

Step-by-step explanation:

First, let's establish the following based on the information given:

The shortest side = x

The third side = (x + 3)

The hypotenuse (the longest side) = (2x + 4)

The perimeter = 31

Since the perimeter is the total of all 3 sides, we are left with this equation:

(x) + (x + 3) + (2x + 4) = 31

From here, combine like-terms and solve for x.

(x) + (x + 3) + (2x + 4) = 31

(4x + 7) = 31

4x = 24

x = 6

Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.

The shortest side = 6

The third side = (x + 3) = 9

The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16

To check, add all of the sides together to make sure they equal 31.

6 + 9 + 16 = 31

~Hope this Helps!~

7 0
3 years ago
A person bikes 2
Lerok [7]

Answer:

The person bikes 20 miles in an hour

Step-by-step explanation:

5 0
2 years ago
Please include work!
geniusboy [140]

Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14   ------------------------(II)

Substitute the y value in equation (II)

    0.5x² - 10  = -x² + 14           {Add x² to both sides}            

0.5x² + x² -10 = 14                  {combine like terms}

       1.5x² - 10 = 14                   {Add 10 to both sides}

               1.5x² = 14 + 10

                1.5x² = 24         {Divide both sides by 1.5}

               1.5x²/1.5 = 24/1.5

                       x² = 16

                      x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

5 0
3 years ago
The sum of 13 divided by a number and that number divided by 13
7nadin3 [17]
Sum means add

the number is x

13 divided by a number is 13/x
the number divided by the number is x/13


so
\frac{13}{x}+\frac{x}{13}
also can be simplified to
\frac{169}{13x}+\frac{x^2}{13x} or
\frac{x62+169}{13x}



translated it is \frac{13}{x}+\frac{x}{13} where x is the number
5 0
3 years ago
Which sampling method is MOST appropriate in estimating the average number of votes for each candidate in an election across a c
kaheart [24]

Answer:

B. Stratified sampling, because there are specific subgroups to investigate.

Step-by-step explanation:

Stratified Sampling is a sampling method and is used when the population has subgroups with different characteristics. Random sampling is applied in each of the sub-groups <em>proportional </em>to their size and then these samples <em>combined </em>together to create sample of the study.

Since there are three towns with people from different occupations ( retirees,business owners, office workers), it is better to use stratified sampling method.

4 0
3 years ago
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