Answer:
x = 6.5
Step-by-step explanation:
In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).
Sin = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent. So, our equation would look like this:
tan (57)° = 10/x
Multiply both sides by x
x (tan (57)°) = 10
Divide both sides by tan (57)°
10 / tan (57)° = 6.49408 = 6.5
Answer:
<h2>d=7.2</h2>
Step-by-step explanation:
We can use the Pythagoras theorem to solve for the answer.
step one:
given that the points are located at (x1,y1),(x2,y2) =(3, -6) and (-3,2)

step two:
substituting into the formula we have

To the nearest tenth we have
d=7.2
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
x and y are supplementary angles, so their sum is 180°.
x+y = 180°
x is 16° less than three times y
x = 3y - 16°
(3y-16°) + y = 180°
4y = 196°
y = 49°
x = 3y-16° = 131°
Answer:
4
Step-by-step explanation:
We can actually make the two equal each other like so:
3d-4=12d/6
Multiply both sides by 6:
18d-24=12d
Add 24 to both sides:
18d=12d+24
Subtract 12d from both sides:
6d=24
Divide by 6:
d=4
4