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lara31 [8.8K]
3 years ago
8

A razor atv initially sold for $18000 and is now on sale for $16500

Mathematics
1 answer:
navik [9.2K]3 years ago
5 0
It's a decrease of $1500.
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How do you get x trigonometry
Svetlanka [38]
Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle

Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a

Explanation of problem:

sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that

since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1

{ \sin}^{ - 1} (\frac{16cm}{28cm})
x = sin^-1 (16cm/28cm)

Answer:

x = 34.84990458°

I don't know how far rounded you'll need it
I hope this helped!
7 0
3 years ago
Solve for x.<br> 9(x + 1) = 25 + x<br> x = 2<br> x = 3<br> x=4<br> x = 5<br> O
Marta_Voda [28]

Answer:

x=2

Step-by-step explanation:

9x+9=25+x

9x-x=25-9

8x=16

x=2

4 0
3 years ago
Read 2 more answers
In the science club, 1/2 the students are freshman, 1/20 are sophomores, 1/10 are juniors, and 70 students are seniors. How many
Nataly [62]

So we are using the denominator 20.

1/2 of 20 would be 10.

So, out of 20 we multiply it by 10 since it is our numerator.

Now, we have converted it to 100/200.

Freshman : 100 students

Sophomores : 10 students

Juniors : 20 students

Seniors : 70 students

6 0
3 years ago
A hand-held digital music player was marked down by 1/4 of the original price. If the sales price is $200. What is the original
Xelga [282]

Answer:A boo

Step-by-step explanation: trust me :) ✨

5 0
2 years ago
Three ballet dancers are positioned on stage. Elizabeth is straight behind Hannah and directly left of Manuel. If Hannah and Eli
ki77a [65]

Answer: Elizabeth and Manuel have a distance of 4 meters between them.

Step-by-step explanation: Please refer to the picture attached.

From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.

We shall apply the pythagoras theorem in solving for the unknown side, EM.

The Pythagoras theorem states thus;

AC² = AB² + BC²

Where AC is the hypotenuse, and AB and BC are the other two sides.

Substituting for the known values, we now have;

5² = 3² + EM²

25 = 9 + EM²

Subtract 9 from both sides of the equation

16 = EM²

Add the square root sign to both sides of the equation

√16 = √EM²

4 = EM

Therefore the distance between Elizabeth and Manuel is 4 meters

8 0
3 years ago
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