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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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kirill [66]

Answer:

$16.20 30% of 50 is 15 so divide 4 in the mix

5 0
3 years ago
Determine the simple interest that is<br> accured on $.5500 for five years at<br> a rate of 8.5%.
Alex73 [517]

Answer:

$2337.5

Step-by-step explanation:

5500x5x8.5/100

=$2337.5

4 0
3 years ago
Which expression is equivalent to 6 Superscript 4 times 6 cubed? (6 times 6 times 6 times 6) (6 times 6 times 6) (6 6 6 6) times
malfutka [58]

The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

6\times6\times6\times6)\times6

<h3>What is the equivalent expression?</h3>

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,

6^4\times6

Suppose the equivalent expression of this equation is n. Thus,

n=6^4\times6

The 4 power of number 6 means that the number 6 should be multiplied 4 times.

n=(6\times6\times6\times6)\times6

Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

6\times6\times6\times6)\times6

Learn more about the equivalent expression here;

brainly.com/question/2972832

5 0
2 years ago
What's the answer to this
White raven [17]

Step-by-step explanation:

the angle CDB is the supplementary angle to 9x+10 (angle ADC).

that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.

and then, the sum of all angles in a triangle is always 180°.

so,

CDB + (4x + 10) + 50 = 180

CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x

therefore,

(170 - 9x) + (4x + 10) + 50 = 180

170 - 9x + 4x + 10 + 50 = 180

-5x = -50

5x = 50

x = 10

angle CDB = 170 - 9x = 170 - 90 = 80°

4 0
2 years ago
1 1/3 MULIPLIED BY 2 3/4 =
Vlad [161]

Answer:

use the mixed fraction mathsoup calculator, it shows step by step, im just trying to help

Step-by-step explanation:

hope i helped:)

7 0
3 years ago
Read 2 more answers
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