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Oksi-84 [34.3K]
2 years ago
5

What is the area of the shaded segment ?

Mathematics
1 answer:
Zarrin [17]2 years ago
7 0

9514 1404 393

Answer:

  5.1 cm²

Step-by-step explanation:

The area of a segment is given by the formula ...

  A = 1/2r²(α -sin(α)) . . . . . where α is the central angle in radians

For this segment, its area is ...

  A = 1/2(6 cm)²(7π/18 -sin(70°)) ≈ 5.077 cm²

The area of the segment is about 5.1 square centimeters.

_____

The angle is converted to radians by multiplying by π/180°. Then a 70° angle is π(70°/180°) = 7π/18 radians.

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WILL GIVE BRAINLIEST<br>What is the value of a in the problem 4a-3=D<br>explain answer
mixas84 [53]
In this case, you aren't going to get an integer for the value of a, but you can rearrange the equation to equal a.

4a-3=D       add 3 to both sides
4a=D+3      divide both sides by 4
a=(D+3)/4   here's your answer
4 0
3 years ago
Please Help!!!
DochEvi [55]

Sally earns per hour = $12

Sally works for in a week = 16 hours.

So, Sally earns in a week = 12\times16=192

Sally can save money each week= 20% of 192

\frac{20}{100}\times192=38.40

A. How much does she earn each week ? Sally earns $192 in a week.

B. How much money will she save each week? Sally will save $38.40 each week.

C. How much money will she save each month (assume there are 4.3 weeks in a month)

Savings of 1 week = $ 38.40

Savings of 4.3 weeks = 4.3\times38.40=165.12

Hence, she will save $165.12 in a month.

D. How many months will it take her to save the money?

Total money needed = $1800

Number of months needed to collect this amount =

\frac{1800}{165.12}=10.90

Hence, it will take 11 months approx to save $1800.



5 0
3 years ago
9. Which of the following do you need to know to determine the surface area and volume of a sphere?
Alexxx [7]

Answer:

A: radius of the sphere

Step-by-step explanation:

The formula for surface area is A = 4πr^2

With r being the radius and A the surface area.

For volume it is

V= (4/3)πr^3

6 0
2 years ago
The sum of the measures of angle LMN and angle NMP is 180 degrees
Vaselesa [24]

Answer:

angle LMN is 153 degrees.

Step-by-step explanation:

180 = 15g + 18 +3g; combine like terms

180 = 18g + 18; subtract 18 on both sides

162 = 18g; divide 18 on both sides

g = 9

plug in: 15(9) + 18 = 153

please mark brainliest if I helped you!

6 0
2 years ago
In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.
miss Akunina [59]

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

4 0
3 years ago
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