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Citrus2011 [14]
3 years ago
13

The diagram shows a sector OAPB of a circle, centre O.

Mathematics
1 answer:
Iteru [2.4K]3 years ago
5 0

Answer:

4.44 cm²

Step-by-step explanation:

If the diagram attached below is required to complete the question,

Applying,

Area of the shaded segment(A) = Area of the sector- area of the triangle

A = (πr²∅/360)-(r²sin∅/)2................ Equation 1

Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie

From the question,

Given: r = 5.4 cm, ∅ = 72°

Constant: π = 3.14

Substitute these values into equation 1

A = (3.14×5.4²×72/360)-(5.4²/2×sin72)

A = 18.31-13.87

A = 4.44 cm²

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Find x. 4 square root 3 2 square root 3 8 8 square root 3
UkoKoshka [18]

Answer:

8

Step-by-step explanation:

sin \:  \alpha  =  \frac{opp}{hyp}  \\ sin \: 30 =  \frac{4}{x}  \\  \frac{1}{2}  =  \frac{4}{x}  \\

x = 4 \times 2 \\ x = 8

6 0
3 years ago
John finds that the sum of two numbers is 24 and their difference is one sixth of the sum. Find the smallest number between the
poizon [28]

Answer:

The smallest number is 10

Step-by-step explanation:

x+y=24---equation 1

x-y=¹/6×24=>x-y=4---equation 2

Add both equations

2x=28

x=14

put x=14 into equation 1

14+y=24

y=24-14=10

4 0
3 years ago
For a circle with a radius of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a lengt
wariber [46]

Answer:

The angle is 1560°

Step-by-step explanation:

The length of an arc in radian is given by s=rФ

where s=length of an arc, r=radius and Ф = angle in radians

The question asked us to find the angle

Given to us is; r =6m and s=52π  and Фis what we are to find

From the formula s= rФ

Ф= s/r   =  52πm/6m

Ф=52π/6

Ф=26π/3 radians

But the question states that the angle should be in degree, so we will change the above angle to degree, to do that we will simply multiply the angle by 180°/π

Thus;

Ф=26π/ 3   ×    180°/π

(The π at the numerator will cancel that of the denominator, and 180° will be divided by 3 to give 60°, we will be  left with just 26 and 60 at the numerator)

Ф = 26× 60°

Ф=1560°

Therefore, the central angle (in degree) subtended by an arc with length 52πmeters and radius 6 meters is  1560°

5 0
3 years ago
Explain why the binomial 9.r– 3 is not<br> factorable. Please explain in sentence<br> form.
Aneli [31]

Answer:

Uhhh, it can be factored into 3 * ( 3r - 1 )

Step-by-step explanation:

I think you know how factoring works. Other than that, I see no way fo proving that it can't be factored.

5 0
2 years ago
WILL GOVE BRAINIEST Kim and Tegan train for the iron man on the weekend. They bike at a constant rate of miles per hour. The tab
Rus_ich [418]

Answer:

C 210

Step-by-step explanation:

To solve this, First we must take 42/3, Since it equals 14, we take 15x14 and find 210

(edit: to solve for Kim's missing values, you do the same with 2 and 32)

6 0
3 years ago
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