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Harlamova29_29 [7]
3 years ago
7

Two right triangles are shown. First, find the missing leg of the triangle on the right. Then you have two lengths to use to fin

d the missing hypotenuse of the triangle on the left.

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

x = 30m

Step-by-step explanation:

<u>GIVEN :-</u>

There are 2 right-angled triangles.

In the triangle on the right side ,

  • Hypotenuse = 26m
  • Base = 10m

In the triangle on the left side ,

  • Base = 18m

<u>TO FIND :-</u>

  • Length of the common perpendicular to both triangles.
  • Length of the hypotenuse of the triangle on the left side.

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

  • Hypotenuse = \sqrt{Base^2 + Perpendicular^2}.
  • Perpendicular = \sqrt{Hypotenuse^2 - Base^2}

<u>SOLUTION :-</u>

In the triangle on the right side ,

Perpendicular = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24m

⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.

In the triangle on the left side ,

Hypotenuse = \sqrt{24^2 + 18^2} = \sqrt{576 + 324} = \sqrt{900} = 30m

∴ x = 30m

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The college athletic director recorded the highest noise levels reached during 7 sporting events. The highs were:
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Answer:

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Step-by-step explanation:

Mean:

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3 years ago
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svetoff [14.1K]
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4 0
3 years ago
Read 2 more answers
Help me solving number 22 &amp; 24. Thanks:)
aksik [14]

Answer:

Question 22

x intercept is 7

y intercept is 4

The answer is C

Question 24

x intercept is -4

y intercept is 7

The answer is B

Step-by-step explanation:

x and y intercepts are the points at which the graph meets x and y axes.

x and y intercepts can be found the following way,

y intercept - substitute 0 to x

x intercept - substitute 0 to y

Question 22

7y=28-4x

Substitute x=0 to find the y intercept

7y=28-4*0

=7y=28

=y=4

Substitute y=0 to find x intercept

7*0=28-4x

=0=28-4x

=4x=28

=x=7

Therefore,

x intercept is 7

y intercept is 4

The answer is C

<u>Question 24</u>

4y=7x+28

Substitute x=0 to find the y intercept

4y=7*0+28

=4y=28

=y=7

Substitute y=0 to find x intercept

4*0=7x+28

=0=7x+28

=-7x=28

=x=-4

Therefore,

x intercept is -4

y intercept is 7

The answer is B


5 0
2 years ago
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $3. There is 1 winning ticket out
matrenka [14]

Answer:

A) 0.54

B) 4.32

C) 2.4

D)  336

Step-by-step explanation:

A)Expected value (you) = (84 × 3) × \frac{1}{140} × (0.3)× \frac{139}{140}

                                       = 0.54

B) Expected value (you) 8 tickets = 0.54 × 8

                                                       = 4.32

C) Expected value ( for PTO) = ( 3 - 84) × \frac{1}{140} + ( 3 - 0 ) × \frac{139}{140}

                                                = 2.4

D) For 140 raffle tickets = 2.4 × 140

                                       = 336

4 0
2 years ago
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