All categories

2 years ago

Given circle Q with a measure of SR=120° and a radius of 9 feet, as shown below.

Mathematics

1 answer:

DiKsa [7]2 years ago

5 0

Answer:

The arc length of the entire circle would be 2*PI*9

We need to know the arc length of 1/3 of the circle so we calculate

arc length = (2 * PI * 9) / 3

arc length = 2 * PI * 3

arc length = 6 * PI

arc length = 18.8495559215

Step-by-step explanation:

You might be interested in

Triangle A B C is shown. Angle A B C is 95 degrees and angle B C A is 45 degrees. The length of A B is c and the length of B C i

NARA [144]

Answer:

(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction

$c=\dfrac{3 * \sin 45}{sin 40}$

Step-by-step explanation:

In Triangle ABC is shown.

$\angle A B C=$ 95 degrees

$\angle B C A =$ 45 degrees.

|AB|=c

|BC|=3.0 cm

$\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ$

Using the Law of Sines

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

$\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}$

The correct option is B.

6 0

2 years ago

Read 2 more answers

Help please I will mark brainlest

rodikova [14]

Answer:

$5\sqrt{7}$

Step-by-step explanation:

$\frac{30\sqrt{14} }{6\sqrt{2} }$

Cancel out 6 in both numerator and denominator.

$\frac{5\sqrt{14} }{\sqrt{2} }$ Rationalize the denominator of $\frac{5\sqrt{14} }{\sqrt{2} }$ by multiplying the numerator and denominator by $\sqrt{2}$ .

$\frac{5\sqrt{14}\sqrt{2} }{(\sqrt{2})^{2} }$

The square of $\sqrt{2}$ is 2

Factor 14=2 × 7. Rewrite the square root of the product $\sqrt{2x7}$ as the product of square roots $\sqrt{2}\sqrt{7}$ .

$\frac{5\sqrt{2}\sqrt{7}\sqrt{2} }{2}$

Multiply $\sqrt{2}$ and $\sqrt{2}$ to get 2.

$\frac{5x2\sqrt{7} }{2}$

Cancel out 2 and 2.

$5\sqrt{7}$

Hope it helps and have a great day! =D

7 0

1 year ago

Read 2 more answers

(4 x 10^2) + 120.5<br> What’s the answer to this

erastovalidia [21]

Answer:

520.5

Step-by-step explanation:

5 0

2 years ago

What number is 100 times larger than 4.8?

Ymorist [56]

480 To get this answer you simply multiply 4.8 by 100

8 0

2 years ago

Read 2 more answers

Image of math question below

vitfil [10]

The second one

Hope this helps :D

7 0

2 years ago

Read 2 more answers