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
V125BC [204]
3 years ago
5

How do i solve for this?

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

9514 1404 393

Answer:

  97.42 square units

Step-by-step explanation:

The area of a sector is given by ...

  A = (1/2)r²θ

where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.

  75° = (75°)×(π/180°) radians = (5/12)π radians

Then the area is ...

  A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units

__

Equivalently, you can find the area of the circle in the usual way:

  A = πr² = π(12.2²) ≈ 467.59465

Then, multiply by the fraction of the circle that is shaded (75°/360°)

  sector area = (467.59465)(75/360) = 94.42 . . . square units

You might be interested in
6, 3, 4, 7, 3, 7, 8, 5, 7 i. Find the median ii. Find the mean iii. Find the modal mark
4vir4ik [10]

Answer:

i. 6

ii. 5\frac{5}{9}

iii. 7

Step-by-step explanation:

First organize the data from least to greatest.  3,3,4,5,6,7,7,7,8

To find the median, remove the extremes from the data over and over.

3,4,5,6,7,7,7

4,5,6,7,7

5,6,7

6

To find the mean, add all of the numbers and divide by 9

3+3+4+5+6+7+7+7+8=50

50/9=5\frac{5}{9}

To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)

Hope it helps <3

3 0
4 years ago
Joe's Ice Cream Shop has 7/8 of a gallon of vanilla ice cream left. They use 1/12 of a gallon of ice cream to make one milkshake
Vadim26 [7]

Answer:

Ten and a Half milkshakes can be prepared from the available amount of ice cream.

Step-by-step explanation:

The total vanilla ice cream = 7/8 gallons

Ice cream used for 1 milkshake = 1/12 gallon

Now, total number of milkshakes possible = \frac{\textrm{Total availibility of ice cream}}{\textrm{Ice cream used for each milkshake}}

= \frac{\frac{7}{8} }{\frac{1}{12} }  = \frac{7}{8}  \times \frac{12}{1}  = 10.5

Hence ten and a half milkshakes can be prepared from the available amount of ice cream.

8 0
3 years ago
Read 2 more answers
A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%
astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0
4 years ago
PLEASE HELP WILL MARK BRAINLIEST!!!!! +20 POINTS <br> only answer number 25.
natima [27]

Answer:

the one up: 21

the one down: 16

5 0
3 years ago
Suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose
Gekata [30.6K]

Answer:

1/2 is the fraction and 50% is the percentage

Word phrase:

The probability of choosing a P (white) color band its a 50% chance.

sry if i did this wrong

6 0
3 years ago
Other questions:
  • Your neighbor burns 100 Calories in 10 minutes​ cross-country skiing. There is a proportional relationship between Calories burn
    15·1 answer
  • Of the 480 students at lincoln middle school one third have traveled overseas of these 15% have been to australia how many stude
    12·1 answer
  • Determine the x and y intercepts<br>2x-3y=48​
    5·1 answer
  • William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a loc
    8·1 answer
  • Susie has a bag with 8 hair pins, 7 pencils, 2 snacks, and 4 books. What is the ratio of books to pencils?
    9·2 answers
  • Will mark brainliest <br> Thank u!
    10·2 answers
  • A Web music store offers two versions of a popular song. The size of the standard version is 2.2
    7·1 answer
  • Help me give thanks comment and brainliest
    5·2 answers
  • Can you guys helps me real quick please the answer is not 2
    10·2 answers
  • Find the area of the shaded shape pls quickly​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!