All categories

3 years ago

In circle J with m \angle HJK= 92m∠HJK=92 and HJ=9HJ=9 units find area of sector HJK. Round to the nearest hundredth.

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

Answer:

65.03square units.

Step-by-step explanation:

Find the diagram in the attachment below.

Area of the sector HJK = theta/360° × πr²

theta is the angle subtended by the sector = ∠HJK = 92°

r is the radius = HJ = 9units.

Substituting the given values in the formula:

Area of sector HJK = 92°/360° × π(9)²

Area of sector HJK = 23,399.28/360

Area of sector HJK = 65.03 square units to nearest hundredth

You might be interested in

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Dafna1 [17]

Step 1

Find the slope of the given line

we have

$3x+4y=15$

Isolate the variable y

Subtract $3x$ both sides

$3x+4y-3x=15-3x$

$4y=-3x+15$

Divide by $4$ both sides

$y=-\frac{3}{4}x+ \frac{15}{4}$

the slope of the given line is

$m=-\frac{3}{4}$

Step 2

Find the equation of the line that passes through the point $(8,-2)$ and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-\frac{3}{4}$

$(x1,y1)=(8,-2)$

substitute in the equation

$y+2=-\frac{3}{4}(x-8)$

$y=-\frac{3}{4}x+6-2$

$y=-\frac{3}{4}x+4$ or $3x+4y=16$

therefore

the answer is

$y=-\frac{3}{4}x+4$

$3x+4y=16$

8 0

3 years ago

Solve the equation Answer options : y= 576 Y= 16 Y=4 Y=2

Maru [420]

Answer:

I believe the correct answer is option B

7 0

3 years ago

A patrolman spends three times as many hours patrolling as she does completing paper work. If she works 36 hours per week, how m

fomenos

Answer:

27 hours

Step-by-step explanation:

Let her work "x" hours for paperwork

Since, patrolling amount of hours is THREE TIMES that,

Patrolling = 3x hours

Total Hours = 36

That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:

x + 3x = 36

4x = 36

x = 36/4

x = 9 hours

Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours

So, she spends 27 hours patrolling

4 0

3 years ago

Craig scored 12 points in a game. Marla scored twice as many points as Craig but 5 fewer than Nelson scored. Write an expression

asambeis [7]

First write what are given from the question
We write "Craig scored 12 points in a game" as
⇒ c = 12 (first equation)
We write "Marla scored twice as many points as Craig but 5 fewer than Nelson scored" as
⇒ m = 2c (second equation)
⇒ m = n - 5 (third equation)

Second, find the expression for n based on what we write above
From the second and third equation
⇒ m = m
⇒ n - 5 = 2c
Subtitute from the first equation
⇒ n - 5 = 2c
⇒ n - 5 = 2(12)
⇒ n - 5 = 24

This is the expression to find how many nelson scored
n - 5 = 24

4 0

2 years ago

Jayden received a $40 gift card that could be used to download television programs. After she downloaded 5 programs, she had $30

Alisiya [41]

2$ for each program

5 0

3 years ago