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Hitman42 [59]
3 years ago
10

Find the angle of a sector with an area of 30 and radius 4.

Mathematics
2 answers:
hoa [83]3 years ago
7 0

Area of the sector is 4.19 sq. units

Step-by-step explanation:

  • Step 1: Find the area of the sector where radius = 4 and central angle = 30°

Area of the sector = π r² (C/360), where r is radius and C is the central angle

⇒ Area = 3.14 × 4² × (30/360)

            = 3.14 × 16 × 1/12 = 4.19 sq. units

stellarik [79]3 years ago
4 0

Answer:

214.9681529

Step-by-step explanation:

Set up a proportion:

30 (area of sector) / 50.24 (total area of circle) = x (angle of sector) / 360 (degrees in a circle)

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A. y = \frac{2}{5}x -2

Step-by-step explanation:

The y-intercept starts at -2

The slope is \frac{2}{5} because it goes up 2 and 5 to the right.

The equation would be y = \frac{2}{5}x -2

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Convert 0.075 to percent.
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0.075 is equal to 7.5%
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26. Which of the following DO NOT illustrates independent events?
AlexFokin [52]

Answer:

  C. obtaining an even number when rolling a die

Step-by-step explanation:

Two events are independent when neither depends on the other. That is, the probability that one occurs is not affected by the occurrence, or lack of occurrence, of the other event. Their joint probability is the product of their individual probabilities.

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Among the answer choices, all describe two independent events except C. Choice C describes one (1) event, so does NOT illustrate independent events.

4 0
2 years ago
Sumerian merchants traded to import all of the following metals except
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Sumer was an urban civilization  which was historically named as the first in the region of southern Mesopotamia, which is modernly called southern Iraq. This was a wealthy civilization composed of merchants of different metals and other stuffs. One thing they were not importing was iron metal. 
5 0
3 years ago
Factor completely 3ab − 5ax + 9b − 15x.
Alik [6]

Answer:  The answers are given below.

Step-by-step explanation:  We are given to factorise some quadratic expressions.

We will be using the following factorisation formula:

x^2+ax+bx+ab=(x+a)(x+b).

The factorisation is as follows:

We have

(1)~3ab-5ax+9b-15x\\\\=a(3b-5x)+3(3b-5x)\\\\=(3b-5x)(a+3).

Thus, option (B) (3b-5x)(a+3) is correct.

(2)~5x(x+3)+6(x+3)\\\\=(x+3)(5x+6).

Thus, option (B) (x+3)(5x+6) is correct.

(3)~2cb+7cx+2b+7x\\\\=c(2b+7x)+1(2b+7x)\\\\=(2b+7x)(c+1).

Thus, option (B) (2b+7x)(c+1) is correct

(4)~21x^3+35x^2+9x+15\\\\=7x^2(3x+5)+3(3x+5)\\\\=(3x+5)(7x^2+3).

Thus, option (D) (3x+5)(7x^2+3) is correct.

(5)~9xy+36x-10y-40\\\\=9x(y+4)-10(y+4)=(y+4)(9x-10).

Thus, option (C) (y+4)(9x-10) is the correct option.

(6)~14bx^2-7x^3-4b+2x\\\\=7x^2(2b-x)-2(2b-x)\\\\=(2b-x)(7x^2-2).

Thus, option (B) (2b-x)(7x^2-2) is the correct option.

(7)~4xy+9x+24y+54\\\\=x(4y+9)+6(4y+9)\\\\=(4y+9)(x+6).

Thus, option (D) (4y+9)(x+6)  is correct.

4 0
3 years ago
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