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RideAnS [48]
2 years ago
10

Pls help!!

Mathematics
1 answer:
masha68 [24]2 years ago
5 0

Answer:

51.9 cm²

Step-by-step explanation:

From the diagram attached,

Area of the white region(segment)(A) = Area minor sector- area of the triangle

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

Where r = radius of the circle, Ф = reflex angle formed at the center of the circle, π = pie

From the question,

Given: r = 7 cm, Ф = 150°

Constant: π = 22/7

Substitute these values into equation 1

A = [(22/7)×7²×150/360]-[(1/2)×7²×sin150]

A = 64.17-12.25

A = 51.92

A = 51.9 cm²

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Answer:

13

Step-by-step explanation:

count the big ducks first

then go back and count the smaller ones

6 0
3 years ago
Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest
Black_prince [1.1K]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length =\dfrac{\theta}{360^\circ}X2\pi r

=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)

(b)Area of the sector

Area of the sector =\dfrac{\theta}{360^\circ}X\pi r^2

=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)

3 0
3 years ago
Read 2 more answers
Can someone please help me
Nikolay [14]

Answer:

B

Step-by-step explanation:

x²+2x=19 add 1 to both sides which gives you x²+2x+1=20

x²+2x+1 is the same as (x+1)²

Therefore (x+1)²=20

6 0
2 years ago
Pleases complete the proof but with each step can you tell me which property of equality to use.
wel

Answer:

Step-by-step explanation:

6 0
1 year ago
A group of 570 students were surveyed about the courses they were taking at their college with the following results:
garri49 [273]

Answer:

The number of students who took English and History, but not Math is 143.

Step-by-step explanation:

Denote the subject choices as follows:

<em>M</em> = a students was taking Math

<em>E</em> = a students was taking English

<em>H</em> = a students was taking History

The data provided is as follows:

N (M) = 257

N (E) = 282

N (H) = 323

n (M ∩ E) = 154

n (M ∩ H) = 171

n (E ∩ H) = 143

n (M ∩ E ∩ H) = 80

Consider the Venn diagram below.

From the provided data and the Venn diagram the value of the set E and H minus M is 143.

Thus, the number of students who took English and History, but not Math is 143.

7 0
2 years ago
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