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mariarad [96]
3 years ago
10

A man travels at 42 degrees northwest, and ends up 8.5 miles west of his starting point. How far did he travel?

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

The man traveled 12.70 miles.

Step-by-step explanation:

We can find the distance traveled by the man knowing:

d_{W}: the distance at the west = 8.5 miles

\theta_{NW}: the northwest angle = 42°

Then by using the following trigonometric identity we have:

sin(\theta) = \frac{d_{W}}{d_{NW}}

d_{NW} = \frac{d_{W}}{sin(\theta)} = \frac{8.5 miles}{sin(42)} = 12.70 miles

Therefore, the man traveled 12.70 miles.

I hope it helps you!                                    

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Christina is saving for a new tablet it cost $70 including tax she has already saved $35 how much more does she need to save
igomit [66]

Answer:

She needs to save $35.

Step-by-step explanation:

To find out how much more she needs, you take $70 and minus $35

70-35=35

Hope this helps!

8 0
4 years ago
Lee wants to collect 22 of a certain type of action figure. He had 11 of the figures, then got 3 more for his birthday. What dec
Shalnov [3]

To solve this problem, we must first find the fraction of action figures that Lee has gotten so far.  To do this, we will represent the number of action figures that Lee currently has in the numerator divided by the denominator, the total number of action figures that Lee is attempting to collect.

First, we must recognize that Lee currently has 11 action figures plus the 3 that he got for his birthday.  To find the total number of action figures that Lee has, we must add together these two parts.  

11+3 = 14

Therefore, Lee has 14 action figures (this will become the numerator of the fraction).  The denominator of the fraction is the total number of action figures, which we are given is 22.

Thus, our fraction is 14/22.

To convert this into a decimal, we can simply divide the numerator of the fraction by the denominator of the fraction, which gives us:

14/22 = 0.636363636

Therefore, your answer is approximately 0.636.

Hope this helps!

6 0
3 years ago
Help me out please.<br><br> i need to find the function rule,
Ksivusya [100]

Replace x in the equations and see which one gets the matching y :

-5(0) = 0 +1 = 1

-5(1) = -5 + 1 = -4

-5(-1) = 5 +6 = 6

The first equation works.

7 0
3 years ago
Solve for x<br> a) 2<br> b) 8<br> c) -2<br> d) -8
DaniilM [7]

Answer:

it's B.) 8

Step-by-step explanation:

the given pair of angles are <em>corresponding</em><em> </em>angles so, their measures are equal.

=》15x + 10 = 17x - 6

=》10 + 6 = 17x - 15x

=》2x = 16

=》x = 16 ÷ 2

=》x = 8

5 0
2 years ago
Read 2 more answers
PLEASE DONT GUESS I HAVE TO GET THIS QUESTION CORRECT!!! 20 POINTS
tankabanditka [31]

oops i just did :)


Point-slope form is y - y_1 = m (x - x_1) where x_1 and y_1 are the given coordinates and m is the slope. When you plug the given values into the equation you get y - 3 = 6 (x - 8) .


8 0
3 years ago
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