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
Maslowich
2 years ago
14

Shaded area is 54 pi cm squared. Find X

Mathematics
2 answers:
EleoNora [17]2 years ago
8 0

Answer:

  x = 3π/4 radians = 135°

Step-by-step explanation:

The area of a sector of central angle α is ...

  A = (1/2)r²α

Filling in the given values, we can find the central angle to be ...

  54π cm² = (1/2)(12 cm)²x

  x = (54π)/(72) = 3/4π . . . . radians

  x = 135°

Tanzania [10]2 years ago
7 0

Answer:

Step-by-step explanation:

The shaded area is a sector of the circle. The formula for determining the area of a sector is expressed as

expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 12 cm

θ = x°

Area of sector = 54π

Therefore,

54π = x/360 × π × 12²

54π × 360 = x × π × 12

19440π = 144πx

Dividing through by π, it becomes

19440 = 144x

x = 19440/144

x = 135°

You might be interested in
Slope between( 8,-1) (-7,4)
MrRa [10]
M= y2-y1?x2-x1
m=4-(-1)/(-7)-8
m=5/-15
m=-3
The slope is -3
4 0
2 years ago
Read 2 more answers
Emma was given 5 seashells. Each week she collected 3 more. Let w be the number of weeks Emma collects seashells and s be the nu
FinnZ [79.3K]

Answer:

s=5+3w independent variable is 5+3w. Dependent variable is s, since the total depends on the amount of weeks plus the 5 seashells from the start. s=5+4(3)=17 s=5+5(3)=20 s=5+6(3)=23 s=5+7(3)=26 s=5+8(3)=29 s=5+9(3)=32 s=5+10(3)=35

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A shipping company is creating their own shipping boxes. They have created a box with a volume of 800in^3 , a height of 8 inches
Firdavs [7]

Answer:

Length = 10 inches

Width = 10 inches

Step-by-step explanation:

The perimeter of the base is 40 inches, so we can write the following equation:

2*Length + 2*Width = 40

Length + Width = 20 (eq1)

The volume of the box is 800 in3, so we have:

800 = Length*Width*8

Length*Width = 100 (eq2)

From the (eq1), we have:

Length = 20 - Width

Using this value of Length in (eq2), we have:

(20 - Width)*Width = 100

20*Width - Width^2 - 100 = 0

Using Bhaskara's formula, we have:

Delta = b^2 - 4ac = 400 - 400 = 0

Width = -b/2a = -20/(-2) = 10 inches

Length = 20 - Width = 20 - 10 = 10 inches

So the length is 10 inches and the width is 10 inches

3 0
3 years ago
Read 2 more answers
stacy has hired tom to build her a doll house. The doll house will be a scale model of her home, and the scale will be 2 inches:
Anni [7]
We know that
[scale]=[doll house]/[<span>real house]
[scale]=12 in/3 ft

</span><span>The living room in stacy's house is 18 feet by 12 feet
</span>so
for 18 ft
 [doll house]=[scale]*[real house]-----> (12/3)*18--------> 72 in

for 12 ft
 [doll house]=[scale]*[real house]-----> (12/3)*12--------> 48 in

The living room in doll house is 72 in by 48 in
The living room area in doll house is (72*48)-----> 3456 in²

<span>Tom will need for the living room in Stacy's doll house 3456 in</span>² <span>of carpeting

the answer is </span>3456 in² of carpeting
4 0
3 years ago
What is the volume of the entire figure?
ch4aika [34]
This is just a shape with a peace of it cut out so if we imagine how would this figure be before it was cut. it would give us an 4×12×6 cuboid (we can use that) so first, lets caculate the volume of the bigger cuboid

6 \times 12 \times 4 = 288
then we need to caculate the valume of the two smaller cuboids.
4 \times 4 \times 4 = 64
2 \times 4 \times 12 = 96
by subtracting the valume of the bigger cuboid from our two smaller ones we will have the valume of the three-dimensional figure.
65+96=160
288-160=128
6 0
3 years ago
Read 2 more answers
Other questions:
  • A container of motor oil is supposed to contain 1000 ml of oil. a quality control engineer is concerned about the variability of
    14·1 answer
  • Which point best approximates .....
    12·2 answers
  • What is the rule for reflection across the y axis
    6·1 answer
  • Can you show how to solve this question? Thomas and Sharlina work on weekends and holidays doing odd jobs around the neighborhoo
    11·1 answer
  • Is 16 the correct answer?​
    11·2 answers
  • The graph of which function will have a maximum and a y-intercept of 4? f(x) = 4x2 + 6x – 1 f(x) = –4x2 + 8x + 5 f(x) = –x2 + 2x
    9·2 answers
  • please help me with questions 15 and 16 please. Will give brainilist to the person who gives the answer and how they did it
    12·1 answer
  • Find the area<br><br> 96 sq meters<br> 144 sq meters<br> 84 sq meters<br> 102 sq meters
    11·2 answers
  • What is the first step in evaluating the expression shown below?<br> (12.9-3.1) 6.2-2 + 43
    10·1 answer
  • Which image is a reflection over the line y = x of triangle 1?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!