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nydimaria [60]
3 years ago
5

An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0

Answer:

22.5 miles per hour

Step-by-step explanation:

<u>Given system of equations</u>

5(s-w)=900

4(s+w)=900

<u />

<u>Set equations equal to each other</u>

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

<u>Solve for w using the substitution s=9w</u>

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

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neonofarm [45]

Answer:

8 / sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan A = BC / AC

tan 30 = BC / 8

8 tan 30 = BC

8 * sqrt(3)/3 = BC

8/3 sqrt(3) = BC

7 0
3 years ago
What is the solution to the equation 2x + 4 = 24? <br> x = 1 <br> x = 3 <br> x = 6 <br> x = 10
horsena [70]

Answer:

    x = 14

Step-by-step explanation:

1.1     Pull out like factors :

  2x - 20  =   2 • (x - 10)  

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    x-10 = 0  

Add  10  to both sides of the equation :  

                     x = 10  

One solution was found :

                  x = 10

4 0
3 years ago
Read 2 more answers
Find the perimeter of the parallelogram with these vertices. (4,7), (-3,1), (4,1), (-3,-5) Give an exact answer (not a decimal a
Stels [109]

Answer: 4,1 read carefully

Step-by-step explanation:

7 0
4 years ago
I just need the (volume) to this shape<br> Help please !!
maks197457 [2]
The answer is 14. Hope this helped
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3 years ago
-x/6 + 6 = 32<br> What is the answer and how do I solve it
masha68 [24]

Answer:

x= -120

Step-by-step explanation:

-x/6+6+6=32

  1. Use -a/b=a/-b= -a/-b to rewrite the fraction.
  2. -x/-6+6+6=32
  3. Add the two 6's then you get 12
  4. -x/-6+12=32
  5. Multiply both sides with the equation by 6
  6. -x+72=192
  7. Move the constant to the right-hand side and change its side
  8. -x=192+72
  9. Subtract the numbers, -x=192-72
  10. -x=120
  11. Change the signs on both sides of the equation
  12. You have your answer it is x= -120
8 0
3 years ago
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