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Elanso [62]
3 years ago
10

The

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

<h2>11.34 units²</h2>

Step-by-step explanation:

Area of a sector is expressed as \frac{\theta}{360^{0} }*\pi  r^{2}

Before we can get the area of the circle, we need to find its radius. The radius of the circle can be derived from the equation of the circle given.

(x+3.5)^{2} + (y-2.82)^{2} =25

The general form of equation of a circle is given as (x-a)^{2} + (y-b)^{2} =r^{2} where r is the radius of the circle. Comparing the general equation to the given equation to get the radius r;

r^{2} = 25\\ r = \sqrt{25}\\ r =5

The radius of the circle is 5

Given the angle subtended by the sector of the circle to be 52°,

Area of the sector = \frac{52}{360^{0} }*\pi  *5^{2}

= \frac{52}{360^{0} }*25\pi\\= 0.144 *25 \pi

= 0.144 * 25(3.14)\\= 0.144*78.5\\= 11.34units^{2}

This gives the required area of the sector to nearest hundredth

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A number is called evil if it has 666 in it. How many 7 digit numbers are evil?
defon

Step-by-step explanation:

There are 5 different positions of 666:

666////

/666///

//666//

///666/

////666

The forward dashes represent any number from 0 to 9.

Case 1: "666////"

Number of ways = 10⁴ = 10,000.

Case 2: The other positions.

Since the 1st forward dash cannot be 0 (leading digit),

Number of ways for each position = 9 * 10³ = 9,000

Number of ways for all 4 positions = 9,000 * 4 = 36,000.

Total evil numbers = 10,000 + 36,000 = 46,000.

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3 years ago
allowing 20% discount on the marked price of a watch the value of the watch will be Rs 6328 when a vat 13%is added ,find the fin
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Step-by-step explanation:

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= x - 0.2x

=0.8x

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0.13 x 0.8x

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Now,

Selling price = 0.8x + 0.104x

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x = 0.904 / 6328

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The height of Atlas V rocket used for space lifts was 205 feet. What is the height of a model of Atlas V rocket if the scale fac
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Step-by-step explanation:

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Since Real height = 205, we put it into the equation and this will be:

Model / Real = 1/32

Model / 205 = 1/32

Model × 32 = 205 × 1

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The height of the model is 6.4 feet.

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