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3 years ago

What is the approximate area of the shaded sector in the circle shown below?

Mathematics

2 answers:

scZoUnD [109]3 years ago

4 0

The diameter of the circle is 5.4 cm. The shaded area is 180 degrees, which is 1/2 of the circle.

Calculate the area of the full circle and divide by 2.
Area = PI x r^2
r = 5.4/2 = 2.7

Area = 3.14 x 2.7^2 = 22.90

Area of shaded part: 22.90 / 2 = 11.45 cm^2.

The answer is A.

Marina86 [1]3 years ago

4 0

Answer:

does anyone know what the answer would be if the radius is 3.4 ]

Step-by-step explanation:

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1. Alice invests $1000 at 2% interest compounded monthly over a 5 year period. Assuming no other money is deposited or withdrawn

eduard

Answer:

$1,105.08.

Step-by-step explanation:

Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:

X = 1,000 (1 + 0.02 / 12) ^ 5x12

X = 1,105.08

Thus, the amount of money in her account after 5 years would be $ 1,105.08.

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3 years ago

The complex number _______ lies in the shaded area of the graph. The complex number _______ does not lie in the shaded area.

Anastaziya [24]

Think of imaginary numbers on a complex plane as coordinates - take the real part, that's the x coordinate, the imaginary part that's the y coordinate.

Therefore, for the first blank, -1+3i lies in the shaded area, because its coordinates are (-1,3).
And following on from that for the second one, -4i does not lie in the shaded area, since its coordinates are (0,-4).

Tl;dr is taking a complex number a+bi and placing it on a complex plane, it will have coordinates (a,b)

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3 years ago

Part B Lawyer B charges an hourly rate and an up-front fee of $650. He

Anastasy [175]

Answer:

(5490-650) ÷ 22 = Y

Step-by-step explanation:

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2 years ago

Based on a survey, assume that 43% of consumers are comfortable having drones deliver their purchases. Suppose we want to find

svlad2 [7]

Answer:

The probability of getting two consumers comfortable with drones is 0.3424.

Step-by-step explanation:

The probability that a consumer is comfortable having drones deliver their purchases is, p = 0.43.

A random sample of n = 5 consumers are selected, and exactly x = 2 of them are comfortable with the drones.

To compute the probability of getting two consumers comfortable with drones followed by three consumers not comfortable, we will use the Binomial distribution instead of the multiplication rule to find the probability.

This is because in this case we need to compute the number of possible combinations of two consumers who are comfortable with drones.

So, X = number of consumers comfortable with drones, follows a Binomial distribution with parameters n = 5 and p = 0.43.

Compute the probability of getting two consumers comfortable with drones as follows:

$P(X=x)={5\choose x}\ 0.43^{x}\ (1-0.43)^{5-x};\ x=0,1,2,3...$

$P(X=2)={5\choose 2}\ 0.43^{2}\ (1-0.43)^{5-2}$

$=10\times 0.1849\times 0.185193\\=0.342421857\\\approx 0.3424$

Thus, the probability of getting two consumers comfortable with drones is 0.3424.

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3 years ago

Which number does the blue dot represent on the number line?

erik [133]

It represents C -12

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3 years ago

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