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4 years ago

How to find reference angle of 28pi/18

1 answer:

6 0

I'm a big fan of converting radians to degrees so the angles are easier to plot in a coordinate plane. Converting the radian measure to degrees is done with dimensional analysis, using the fact that there are 180 degrees in pi. $\frac{28\pi}{18}=\frac{14\pi}{9}$ . Let's reduce that first. Now that's out of the way... $\frac{14\pi}{9}*\frac{180}{\pi} =280$ . So 280 degrees. That angle will fall into the fourth quadrant, only 10 degrees "after" the negative y axis, which is 270. We go 10 degrees into the 4th quadrant. Reference angles are ALWAYS measured from the tip of the terminal ray of the angle to the nearest x axis. Since all 4 quadrants measure 90 degrees, 90 - 10 = 80. The reference angle, then, is 80 degrees. Converting that back to radians we get that the reference angle is $\frac{4\pi}{9}$ . There you go!

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The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

Rom4ik [11]

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

$\displaystyle A=\frac{bh}{2}$

$\displaystyle A=\frac{(h+9)h}{2}$

And its value is 180:

$\displaystyle \frac{(h+9)h}{2}=180$

Multiplying by 2:

$(h+9)h=360$

Operating:

$h^2+9h-360=0$

Factoring:

$(h-15)(h+24)=0$

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0

3 years ago

a crowbar of 2cm is used to lift an object if 800N. if the effort arm is 260cm. calculate the effort applied.

Gelneren [198K]

Answer:

solution:Here

Given,

Load=800 N

Load distance=2cm

Effort distance=260cm

Effort applied=?

We know that,

Load × Load distance = Effort × Effort distance

or, 800×2 = e × 260

or,1600 = 260e

or,e = 1600/260

Thus, e = 6.15 N

Hence, The effort applied = 6.15 N

Hope this answer helped you..

Please mark me as brainliest

8 0

1 year ago

Solve the following proportion4 x— = —7 28x=

Ierofanga [76]

Answer:

x = 16

Explanations:

The given rquation is:

$\frac{4}{7}=\text{ }\frac{x}{28}$

Step 1: Cross multiply the equations. That is 28 multiplies 4 and 7 multiplies x:

$28\text{ x 4 = 7 }\times\text{ x}$ 112 = 7x

Step 2: Divide both sides by 7

$\frac{112}{7}=\text{ }\frac{7x}{7}$ 16 = x x = 16

7 0

1 year ago

Need to know how to write 327.79 on a check in words

motikmotik

Three hundred and twenty seven point seven nine

3 0

3 years ago

How much would $500 invested at 3% interest compounded continuously be

77julia77 [94]

Answer:

Step-by-step explanation:

598.60

You are given the equation

A(t) = P*e^(rt)

Where P = Principal

r = interest rate

t = time

e is a mathematical constant equivalent to approx 2.71828

You're told the initial Principal is $500, the interest rate is 3%, over 6 years. So you have everything that you need to solve the problem, just plug in the values and solve for A(6)

A(t) = P*e^(rt)

A(6) = 500 * e^(0.03 * 6)

A(6) = 500 * e^(0.18)

A(6) = 500 * 2.71828^(0.18)

A(6) = 500 * 1.19721

A(6) = 598.60861

So $500 invested 6 years ago at 3% would be worth $598.61 today.

5 0

3 years ago