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3 years ago

Tell me how you go it

Mathematics

2 answers:

Dafna11 [192]3 years ago

7 0

x will be 67 because in each case the angles are alternate interior angle so we can prove x=67degree

swat323 years ago

6 0

Answer:

x=67deg.

Step-by-step explanation:

by opposite angles at intersecting lines n corresponding angles of parallel lines, x=67deg.

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Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

1 year ago

Which of the following is the cube root of -64/243

lilavasa [31]

Answer:

-(4/7)

if you are above 11th standard

4/7i

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3 years ago

Jorge received a 3.1% increase in his pay at work. If he now makes $18.00 per hour, how much was he making before his raise? (Ro

g100num [7]

18 times .031 is .558
18 dollars minus .558 cents is 17.442
Answer is he was maki 17.442 dollars before the increase

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2 years ago

Alan spent 3 hours building a model for his science project. This was 60% of the total time he spent on the project. How many ho

Vikentia [17]

Answer:

1.8 hours i hope this helps

Step-by-step explanation:

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3 years ago

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allochka39001 [22]

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3 years ago