Find the radius of a circle with a circumference of 36 Inches

Mathematics

2 answers:

kykrilka [37]3 years ago

8 0

Answer:

r≈5.73in

Step-by-step explanation:

Using the formula

C=2πr

Solving for r

$C=\frac{C}{2\pi } =\frac{36}{2}$ · $\pi$ ≈5.72958in

tatiyna3 years ago

7 0

Answer:

r = 18/pi

or approximately 5.7325 inches

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

36 = 2*pi*r

Divide each side by 2 pi

36/(2pi) = r

18/pi = r

Letting pi = 3.14

18/3.14

5.732484076 = r

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In rectangle JKLM, angle JML is 3x - 15. Find the value of x.

S_A_V [24]

All angles of a rectangle are right angles.
Right angles measure up to 90 degrees.
JML is also a right angle which means 3x - 15 is equal to 90

3x - 15 = 90
3x = 105
x = 35

8 0

3 years ago

I don't even know how to figure this out. I don't have a formula for this

yuradex [85]

Answer:

$\sin\theta=\dfrac{15}{17}$

$?=15$

Step-by-step explanation:

Use the trigonometry formula

$\cos^2\theta+\sin^2\theta=1$

You are given that

$\cos \theta=\dfrac{8}{17}$

Substitute into the first formula

$\left(\dfrac{8}{17}\right)^2+\sin^2\theta=1\\ \\\dfrac{64}{289}+\sin^2\theta=1\\ \\\sin^2\theta=1-\dfrac{64}{289}=\dfrac{289-64}{289}=\dfrac{225}{289}\\ \\\sin \theta=\pm \dfrac{15}{17}$