What is the area of the figure shown below?

In the diagram of O, m∠JOK = 60° and OJ = 6 in. What is the exact area of the shaded region?

Sophie [7]

Answer: 6π

<u>Step-by-step explanation:</u>

Area of a circle is π r².

Area of a section of a circle is π r² × the section of the circle.

$A=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)$

Given: r = 6, Ф = 60°

$A=\pi (6)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =\pi (6)^2\bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =6\pi$

3 0

2 years ago

the length of diagonal of a rectangular field is 23.7 m and one of its sides is 18.8 m. find the perimeter of the field.

katen-ka-za [31]

Answer:

Approximately 66.4 Meters

Step-by-step explanation:

So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.

$a^2+b^2=c^2$

Plug in 18.8 for either <em>a </em>or <em>b. </em>Plug in the diagonal 23.7 for <em>c. </em>

<em /> $(18.8)^2+b^2=23.7^2\\b^2=23.7^2-18.8^2\\b=\sqrt{23.7^2-18.8^2} \\b\approx14.4 \text{ meters}$

Therefore, the length is 14.4 meters. Now, find the perimeter:

$P=2l+2w\\P=2(14.4)+2(18.8)\\P=66.4\text{ meters}$

7 0

3 years ago

A loan of $16,840 is borrowed at 9% simple interest and is repaid with $4,167.90 interest. What is the duration of the loan?

rewona [7]

9514 1404 393

Answer:

2 3/4 years

Step-by-step explanation:

The interest is given by the formula ...

I = Prt . . . . . . principal P at annual rate r for t years

Solving for t gives ...

t = I/(Pr)

t = 4167.90/(16840×0.09) = 2.75

The duration of the loan is 2 3/4 years.

5 0

3 years ago

The number of fish in a lake is decreasing by 400 every year, as described by the function below.

FrozenT [24]

Answer:

D: 7800

Can you give me brainliest :>

Step-by-step explanation:

3 0

2 years ago

Barry's final score is 45 which player had the greater final score?

natali 33 [55]

The player with the greater final score is of:

Barry.

<h3>How to obtain which player had the greater final score?</h3>

Barry's final score is given as follows:

45.

Then we have to obtain Lee's score, from the description given in the missing information section.

Lee's scored is obtained as follows:

Starts at -350.

Answers a 275-point question correctly, hence - 350 + 275 = -75.

Answers a 70 - point question correctly, hence -75 + 70 = -5.

Answers a 50 - point question incorrectly, hence: -5 - 50 = -55.

Thus Lee's final score is given as follows:

-55.

The classifications of the final scores according to the signals are given as follows:

Barry: positive score.

Lee: negative score.

A positive score will always be greater than a negative score, hence Barry had the greater final score.

<h3>Missing information</h3>

Lee and Barry play a trivia game in which questions are worth different numbers of points. If a question is answered correctly, a player earns points. If a question is answered incorrectly, the player loses points. Lee currently has -350 points.

a. Before the game ends, Lee answers a 275 -point question correctly, a 70 -point question correctly, and a 50 -polnt question incorrectly. Write and find the value of an expression to find Lee's final score.

b. Barry's final score is 45. Which player had the greater final score?

More can be learned about addition of measures at brainly.com/question/24342899

#SPJ1

5 0

1 year ago