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Eddi Din [679]
4 years ago
14

A circle with the radius of 3cm sits inside a circle with a radius of 7cm

Mathematics
2 answers:
natali 33 [55]4 years ago
7 0

Answer:

Step-by-step explanation:

This will form a hollow circular part of a cylinder of outer radius 7cm and inner radius 3cm

Area of a circle is given by πr^2.

Then, the big circle of radius 7cm

Area= πr^2

Area=22/7×7×7

Area =154cm^2.

Area of the circle of radius 3cm

Area= πr^2

Area=22/7×3×3

Area =28.286cm^2.

Area of the shaded part becomes

Big area - small area

154-28.286

Area of shaded part = 125.7143cm^2

Then to the nearest hundredth

Area of shaded part =125.71cm^2

yawa3891 [41]4 years ago
6 0

Answer:

Step-by-step explanation:

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Answer:

The answer is A.

Step-by-step explanation:

You have to multiply by converting the second fraction into upside down :

\frac{4x + 1}{6x}  \div  \frac{x}{3x - 1}

=  \frac{4x + 1}{6x}  \times  \frac{3x  -  1}{x}

=  \frac{(4x + 1)(3x - 1)}{x(6x)}

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3 years ago
Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight
jasenka [17]

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor.

It means they are travelling at a constant rate.

Slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

From the given table it is clear that the of Brian's car from the sensor is 34 at 1 sec and 38 at 3 sec. The rate of change is

m=\frac{38-34}{3-1}=2

It means the Brian's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 31 at 3 sec. The rate of change is

m=\frac{31-27}{3-1}=2

It means the Kelsey's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 33 at 3 sec. The rate of change is

m=\frac{33-27}{3-1}=3

It means the Geoff's car traveled at the rate of 3 cm per sec.

Since Brian's and Geoff's car traveled at the same rate, therefore option 1 is correct.

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Using your knowledge of exponential and logarithmic functions and properties, what is the intensity of a fire alarm that has a s
Ierofanga [76]

Option B:

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Solution:

Given sound level = 120 decibel

To find the intensity of a fire alarm:

$\beta=10\log\left(\frac{I}{I_0} \right)

where I_0=1\times10^{-12}\ \text {watts}/ \text m^2}

Step 1: First divide the decibel level by 10.

120 ÷ 10 = 12

Step 2: Use that value in the exponent of the ratio with base 10.

10^{12}

Step 3: Use that power of twelve to find the intensity in Watts per square meter.

$10^{12}=\left(\frac{I}{I_0} \right)

$10^{12}=\left(\frac{I}{1\times10^{-12}\ \text {watts}/ \text m^2} \right)

Now, do the cross multiplication,

I=10^{12}\times1\times\ 10^{-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{12-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{0} \ \text {watts}/ \text m^2}

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Option B is the correct answer.

Hence I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}.

5 0
4 years ago
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