Find the quotient 1 1/2 ÷ 3/8= 10 ÷ 2= 2 1/2 ÷ 1 1/3

What is the area of the sector a.) 10π cm^2b.) 16π cm^2c.) 40π cm^2d.) 64π cm^2

Natalija [7]

Answer:

C. 40π cm²

Explanation:

• The central angle of the sector = 225 degrees

,

• The radius of the sector = 8cm

For a sector of radius r and central angle θ, we calculate the area using the formula below:

$\text{Area}=\frac{\theta}{360\degree}\times\pi r^2$

Substituting the given values, we have:

$\begin{gathered} \text{Area}=\frac{225}{360}\times\pi\times8^2 \\ =\frac{5}{8}\times64\times\pi \\ =5\times8\times\pi \\ =40\pi cm^2 \end{gathered}$

The area of the sector is 40π cm².

3 0

1 year ago

When f(x) = –3, what is x? –29 –10 –3 –1

mariarad [96]

Answer:

x = - 1

Step-by-step explanation:

I hope this will help you

6 0

2 years ago

The jazz band has 13 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the n

Hunter-Best [27]

Answer:

13 * r

Step-by-step explanation:

If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold r raffle tickets each. The expression is multiplication.

5 0

3 years ago

a cookie recipe yields 48 cookies calls for 2 cups of flour. a different cookie recipe yield 60 cookies calls for 3 cups. Are th

fenix001 [56]

No they are not.
48/2 = 24, 60/3=20.
24/=20. (24 does not equal 20)

6 0

4 years ago

Read 2 more answers

Write an equation for the perpendicular line to the line whose equation is 4y-5x=20 that contains the point (-2,-3)

yuradex [85]

Answer:

4x + 5y = - 23

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 4y - 5x = 20 into this form

add 5x to both sides

4y = 5x + 20 ( divide all terms by 4 )

y = $\frac{5}{4}$ x + 5 ← in slope-intercept form

with slope m = $\frac{5}{4}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ , hence

$m_{perpendicular}$ = - 1 / $\frac{5}{4}$ = - $\frac{4}{5}$

y = - $\frac{4}{5}$ x + c ← is the partial equation

to find c substitute (- 2, - 3) into the partial equation

- 3 = $\frac{8}{5}$ + c ⇒ c = - $\frac{23}{5}$

y = - $\frac{4}{5}$ x - $\frac{23}{5}$ ← in slope-intercept form

multiply all terms by 5

5y = - 4x - 23 ( add 4x to both sides )

4x + 5y = - 23 ← in standard form

7 0

3 years ago

Find the quotient1 1/2 ÷ 3/8=10 ÷ 2=2 1/2 ÷ 1 1/3