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alexandr1967 [171]
3 years ago
8

Given a 30-60-90 triangle with a long leg of 9 in, determine the length of the hypotenuse.

Mathematics
1 answer:
aniked [119]3 years ago
8 0

Answer:

10.38 in

Step-by-step explanation:

Long side would be opposite to 60°.

Since, side opposite to 60° is root 3 upon 2 times of hypotenuse.

9 =  \frac{ \sqrt{3} }{2} \times hypotenuse \\  \\ hypotenuse =  \frac{9 \times 2}{ \sqrt{3} }  \\  =  \frac{18}{ \sqrt{3} }  =  \frac{18 \sqrt{3} }{3}  = 6 \sqrt{3}  = 6 \times 1.73 \\   \:  \:  \: \red{ \bold{hypotenuse = 10.38 \: in}}

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I Need Some Help!!!!!!!!!
ehidna [41]

Answer:

median = 50

difference in the quartiles = 45

Step-by-step explanation:

The median amount is the line in the middle of the box

The median is 50

The difference between the upper quartile and the lower quartile is the difference between the right end of the box and the left end of the box

65-20 = 45

4 0
3 years ago
2. Sequoia trees can grow to more than 90 m in
sashaice [31]

Answer: F

Step-by-step explanation: 90/3.28 equals 27.4390244

5 0
3 years ago
Help Please?
Gemiola [76]

Answer:

1 a = 70%

 b 6.5 times

c  green = 16%

2.  ?????  Very poorly worded question

2. a 54%

b. 46%

c. 70%

d.  27%

Step-by-step explanation:

1. Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow? __% said red, blue, or yellow.  

red is .26

blue is .40

yellow is .04

---------------------

                .70   = 70 %

b. How many times more students said red than yellow?

red  .26

yellow is .04

.26/.04 =  6.5 times


c. What percent of students said green? __% said green.

The circle must total 100 %

Red + blue + yellow + purple + green = 100

26+     40 +     4           + 14     +  green = 100

84 + green = 100

Subtract 84 from each side

84-84 + green = 100-84

green = 16

2. Which two methods could be used to find the percent of students who said green?

We can either convert the percents to decimals or the decimals to percents

The total percents must equal 100%

The total decimal must equal 1

a. Find the sum of the percents given in the circle graph.



If they only want the ones written on the graph as percents

(14+40) = 54%

b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.

100 - 54% = 46%

c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.

.26+.04 = .3

1-.3 = .7

70%

d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.

1/2 (46%) = 23%

50 -23 = 27%

5 0
3 years ago
What ratio is equivalent to 21/35
eimsori [14]
A 2:5 ratio. Because 21 divided by 7 equals 3 and 35 divided by 7 equals 5. And I did it by 7 because thats common factor
4 0
3 years ago
3x+2y=23<br> 1/2x-4=y<br><br> What should I do for this one...? I dont really understand
Hitman42 [59]

Since you have y alone on one side of the equation......

Use substitution and plug in 1/2x-4 for y in the other equation.


3x+2(1/2x-4)=23\\

Distribute

3x+x-8=23

Combine like terms

4x-8=23

Add 8 to both sides

4x=31

Divide by 4

and x=31/4

Plug this value in for x

31/4*1/2-4=y

Simplify

31/8-4=y

Multiply everything by 8 and simplify

31-32=8y\\-1=8y

Divide.....

y=-1/8


Your answers are:

y=-1/8\\x=31/4



8 0
3 years ago
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