1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeyben [28]
3 years ago
11

What is the radius of the sector?

Mathematics
1 answer:
Naily [24]3 years ago
8 0

Answer:

5 units

Step-by-step explanation:

The area of a sector is A=\frac{r^2\theta}{2} where r is the radius and \theta is the angle formed:

A=\frac{r^2\theta}{2}\\\\\frac{75\pi}{16} =\frac{r^2(\frac{3\pi}{8})}{2}\\\\150\pi=16r^2(\frac{3\pi}{8})\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r

Therefore, the radius of the sector is 5 units

You might be interested in
Can someone help with number 14? Will give brainliest to best answer! Please show work:)
serious [3.7K]
The first thing you do is find the area of the rectangle, which is l*w or 9*4 = 36. Then you find the area of the circle, which is pi*r^2 or pi*2^2 or 4*pi (do not combine pi and 4 yet). Lastly, you would subract the area of the circle from the area of the rectangle. It would be 36-4*pi, which equals about 23.43 ft.
7 0
3 years ago
A quilt maker is creating a design of a sailboat. she needs exactly the same amount of fabric for the sail as she needs for the
valina [46]
The shape of sail is triangle
The shape of the boat is trapezoid
Fabric needed for sail = fabric needed for boat
which mean ;
                      the area of triangle = the area of trapezoid

the area of triangle = 0.5 * base * height
base = bottom sail = 10 and height = 10
∴  the area of triangle = 0.5 * 10 * 10 = 50 ⇒⇒⇒⇒⇒(1)

the area of trapezoid = 0.5 * (b₁ +b₂) * h
b₁ = long base
b₂ = short base = 10 cm.
h = height = 4 cm.
∴ the area of trapezoid = 0.5 (b₁ + 10 ) * 4 ⇒⇒⇒⇒ (2)

Equating (1) and (2)
∴ 0.5 (b₁ + 10 ) * 4 = 50
    b₁ + 10 = 25
    b₁  = 15

∴ <span>The length of the long base of the trapezoid = 15 cm.

The correct answer is option (C)
</span>





5 0
3 years ago
Read 2 more answers
(1/2)^3-(1/4)^2+1/2 help?​
mrs_skeptik [129]

Answer:

 (\frac{1}{2}) ^{3} - (\frac{1}{4} )^{2} +\frac{1}{2} = \frac{9}{16}

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given

           (\frac{1}{2}) ^{3} - (\frac{1}{4} )^{2} +\frac{1}{2}

      = \frac{1}{8} - \frac{1}{16} + \frac{1}{2}

     =\frac{2-1}{16} + \frac{1}{2}

     = \frac{1}{16} + \frac{1}{2}

     = \frac{1+8}{16}

     = \frac{9}{16}

5 0
3 years ago
Who wants to finish my algebra 2 online stuff? I'll pay you 25 bucks if you do
Maurinko [17]

I will do it for send me your stuff

6 0
4 years ago
Read 2 more answers
/13 Quiz High School Math Focus Practice ItemsQuestion 2 of 15Question 2 (1 point)Consider this right triangle. Enter the measur
Oliga [24]

Solution

Step 1

For a given angle A

Opposite = 12

Hypotenuse = 15

Step 2

\begin{gathered} sinA\text{ = }\frac{Opposite}{Hypotenuse} \\ sinA\text{ = }\frac{12}{15} \\ A\text{ = sin}^{-1}(\frac{12}{15}) \\ A\text{ = 53} \end{gathered}

Final answer

A = 53

7 0
1 year ago
Other questions:
  • Ed bowled five games. His scores were 90, 90, 100, 80, 100. What is the range of his scores for the five games?
    9·2 answers
  • In the 1980s, Earth had about five months of very hot weather. In the 1990s, Earth had about
    9·1 answer
  • HELP ME PLEASE I NEED ITTTTTT I WILL REWARD
    12·1 answer
  • the empire state building is 1250 feet tall. IF an object is thrown upward from the top of the building at an initial velocity o
    15·1 answer
  • 0 = 20 + 4 ( 6 - m )
    7·2 answers
  • Help please. Thank you
    12·2 answers
  • Brianna hoped to get 100 pumpkins from her garden this year. Since the weather was really great, 20% more pumpkins grew than exp
    6·2 answers
  • 12x-20y=180 slope-intercept form
    12·2 answers
  • Please awnser<br> Please help
    13·2 answers
  • Jamal's deck is in the shape of a polygon and is shown on the grid below.(-8,6)(6,6)o[(-8, -4),(6,-4)What is the area of Jamal's
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!