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AlladinOne [14]
3 years ago
7

I need help on #16 and #14, when I did question 15 it was fine but I keep running into problems on how to solve 14 and 16

Mathematics
2 answers:
Inessa [10]3 years ago
4 0
The area of a circle is pi*r^2.
The angles in a circle add up to 360 degrees.

Let's say I have a circle with radius 2.
The total area of the circle is pi* (2^2) = 4pi

Let's say I cut out 15 degrees of this circle. This piece is 15 out of 360 of the whole circle.

The area of this part is (15/360) * 4pi

The rest of the area is (360-15)/360 * 4pi.

I hope this helps.
mart [117]3 years ago
3 0
General formula to find the area of a circle
\boxed{a= \pi \times r^{2}}
To find a sector area of a circle
\boxed{\text{sector}=  \dfrac{\text{sector in degrees}}{360^{0}} \times \pi \times r^{2}}

NUMBER 14
Given information:
r = 12 cm
degree of sector = 110° (use the angle on the shaded area)

The area of the sector:
\text{sector}=  \dfrac{\text{sector in degrees}}{360^{0}} \times \pi \times r^{2}
\text{sector}=  \dfrac{110^{0}}{360^{0}} \times \pi \times 12^{2}
\text{sector}=  \dfrac{11}{36} \times \pi \times 144
\text{sector}=  \dfrac{1584}{36} \pi
\text{sector}=  44 \pi
sector = 44 × 3.14
sector = 138.16

The area is 44π ≈ 138.16 cm²

NUMBER 16
Given information:
r = 30 yards
degree of sector = 15° (use the angle on the shaded area)

The area of the sector:
\text{sector}= \dfrac{\text{sector in degrees}}{360^{0}} \times \pi \times r^{2}
\text{sector}= \dfrac{15^{0}}{360^{0}} \times \pi \times 30^{2}
\text{sector}= \dfrac{1}{24} \times \pi \times 900
\text{sector}= \dfrac{900}{24} \pi
\text{sector}= 37.5 \pi
sector = 37.5 × 3.14
sector = 117.75

The area is 37.5π ≈ 117.75 yd²
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Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station.
inn [45]

Answer: The net change to her banking account balance is $83.22.

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

She spent $36.50 plus 8% tax.  ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)

36.50 x (8/100) =$2.92 (value of tax)

Adding to the original cost

36.50+2.92 = $39.42

Then, she spent $25 to refuel her car at the gas station.

39.42 +25 = $64.42

She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase

23.50 x (20/100) = 4.7 (amount of discount)

Subtracting to the purchase

23.50 -4.7= $18.8

Finally, adding to the total cost.

64.42 +18.8 = $83.22

4 0
3 years ago
Can someone explain
anzhelika [568]
It's d ok
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5 0
3 years ago
Rose bought a bag of potatoes for $6.00 and some granola bars for $5.25 per package. Her total bill was $74.25. How many package
neonofarm [45]

Answer:

Rose bought 14 packages of granola bars.

Step-by-step explanation:

Total bill = 1 bag of potatoes + x amount of packages of granola bars

Total bill = $74.25

1 bag of potatoes = $6.00

1 package of granola bar = 5.25

We set the equation to:

74.25 = 6.00 + 5.25x

Subtract 6.00 from both sides:

68.25 = 5.25x

Divide both sides by 5.25 to leave x by itself

68.25/5.25 = 5.25x/5.25

13 = x

This means Rose bought 13 packages of granola bars.

Let's recheck our work by inputting x = 13 into the equation:

74.25 = 6.00 + 5.25(13)

74.25 = 6.00 + 68.25

74.25 = 74.25

7 0
2 years ago
I NEED THIS RIGHT NOW ASAP PLEASE
nevsk [136]

Answer:

1:4

Step-by-step explanation:

3 0
3 years ago
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I really need help. I've been stuck on this question for almost an hour.
S_A_V [24]
Ma=Mc is the correct answer
8 0
3 years ago
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