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BigorU [14]
2 years ago
5

Find the length of the missing

Mathematics
2 answers:
Ivahew [28]2 years ago
5 0

Answer:

12

Step-by-step explanation:

using pythagoras theorem

here 15 is hypotenuse since it is opposite 0f 90 degree

9 and x are the other smaller sides of a triangle

according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,

9^2 + x^2 = 15^2

81 + x^2 = 225

x^2 = 225 - 81

x^2 = 144

x = \sqrt{144

x = 12

Leya [2.2K]2 years ago
3 0
X = 12
By Pythagoras Theorem
H^2 = P^2 + B^2
15^2 = 9^2 + x^2
225 = 81 + x^2
225-81 = x^2
x^2 = 144
x = root 144
x = 12
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Factor the trinomial below.
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Answer:

x² + 4x - 12

x² + 6x - 2x - 12

x ( x + 6 ) -2 ( x + 6 )

( x + 6 ) ( x - 2 )

3 0
3 years ago
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A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o
lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

<em>going upstream              </em>

y-x=\frac{150}{5}        

y-x=30 ----> equation A            

<em>going downstream                                  </em>

y+x=\frac{150}{3}                            

y+x=50 ----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40                    

<em>Find the value of x                                </em>

y+x=50                

40+x=50            

x=10          

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

8 0
3 years ago
Eliana has 40$. she plans to save $25 every week to buy a plane ticket that costs $365. how many weeks will it take her to save
SpyIntel [72]

Answer:

c. 13 weeks

Step-by-step explanation:

365-40=325 (to find what she needs to make)

325/25=13 (how long the amount she makes a week will take to finish the cost of the ticket.)

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2 years ago
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The height (h), in feet, of a balloon is calculated by using the equation h equals 3t + 2 where t is the time,in seconds. What i
navik [9.2K]
ANSWER: 92

EXPLANATION:
You plug in 30 where t us and solve.
3(30)+2=92
4 0
3 years ago
To find average monthly income, multiply the net pay by the number of pay periods per year. Then divide this yearly income by 12
vladimir2022 [97]
True. To find average monthly income, multiply the net pay by the number of pay periods per year. Then, divide this yearly income by 12 months.

For example:
Daily wages:  
Daily wages * 365 days = Total Wage
Total wage / 12 months = average monthly income

Weekly wages:
Weekly wages * 52 weeks = total wage
total wage / 12 months = average monthly income


4 0
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