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3 years ago

S = 2r + 3 × solve for x

1 answer:

6 0

$2r+3x=s\qquad\text{subtract 2r from both sides}\\\\3x=s-2r\qquad\text{divide both sides by 3}\\\\\boxed{x=\dfrac{s-2r}{3}}$

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Lubov Fominskaja [6]

Answer:

x=5

Step-by-step explanation:

(8x-8)3/2=64

(24x-8)/2=64 -You are distributing the three

12x-4=64 -You divide the whole thing by two

12x=60 -You subtract the four from both sides

x=5 - You divided the twelve from both sides

Hope this helps!

7 0

3 years ago

How do you find the sine, cosine, and tangent values on the unit circle not in the first quadrant? Provide an example, and how y

gizmo_the_mogwai [7]

A point (-0.8, 0.6) will be a point on the unit circle in the second quadrant. Since it is a unit circle, its radius is 1, and we have
sin(α) = y = 0.6
cos(α) = x = -0.8
tan(α) = y/x = 0.6/-0.8 = -0.75

The angle is α = arccos(-0.8) ≈ 143.13°

______
For the unit circle, the trig values are always the coordinates or their ratio as shown above, regardless of quadrant.

7 0

3 years ago

An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and

blagie [28]

Answer:

84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

tan(30°) = OB/OA

OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

BC = OC -OB = 200 m - 115.47 m = 84.53 m

4 0

3 years ago

It take Tom 2 hours to drive to the campground it takes 3times as long to drive to her favorite beach .how long does it take Tom

nasty-shy [4]

If it takes Tim 2 hours to drive to the campground and it takes 3 times more long then driving to the campground. Then all you have to do is 3 multiplied by 2 and then your answer would be 6 hours.

Hope it helps!

3 0

3 years ago

Which equation has the correct sign on the product?

Rashid [163]

Answer:

The correct answer is C

Step-by-step explanation:

8 0

2 years ago