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DIA [1.3K]
3 years ago
6

A rocket is launched from the Space Coast of Florida and can be seen from local schools. The angle of elevation from Western Hig

h School and Pine High School are 41.25 degrees and 23.125 degrees respectively. If the two schools are 512 miles apart, how far is the rocket from Pine High School?
Mathematics
1 answer:
german3 years ago
8 0

Answer:

365.73 miles

Step-by-step explanation:

Given that :

Angle of elevation (western high) = 41.25°

Angle of elevation (pine high) = 23.125

From the diagram attached :

Angle A = 180 - (41.25 + 13.125) = 115.625

Using the Sine rule :

a / SinA = b/SinB = c/sin C

512 / sin 115.625 = b / sin 41.25

554.68738 = b / sin 41.25

554.68738 * sin 41. 25 = b

b = 365.73 miles

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In a certain clothing store,6 shirts and 3 ties cost $79.50 ,and 3 shirts and 2 ties cost $41. determine the cost of each shirt.
Komok [63]

Answer:

Each shirt cost $12

Step-by-step explanation:

First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.

6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41

Hence we have two equations, and we solve them simultaneously.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the

2(6s+3t=79.5)

12s+6t=159 Equation 3

3(3s+2t=41)

9s+6t=123 Equation 4

We subtract equation 4 from equation 3.

12s+6t=159

9s+6t=123

12s-9s=3s

6t-6t=0

159-123=36

We therefore have

3s=36

Divide both sides by 3

s=36/3

s=12

One shirt cost $12

3 0
3 years ago
-10y + 9x = -9<br> 10y + 5x = -5
RoseWind [281]
The answer is (-1,0) or x=-1 and y=0 :)
5 0
3 years ago
Could someone please help me solve this?
ryzh [129]

Answer:

40

Step-by-step explanation:

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(2/5)*n - 6 + 6 = 10 + 6             Combine

(2/5)*n = 16                               Multiply both sides by 5/2

(5/2)(2/5)n = 16*(5/2)

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A i am sure i hope this helps

8 0
3 years ago
What's the difference between using f(2) and f(x)=2?
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