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3 years ago

In the figure, OA is a diameter of the smaller circle and O is the centre of the larger circle. Find the

Mathematics

1 answer:

Burka [1]3 years ago

5 0

Answer:

942 6/7 cm²

Step-by-step explanation:

Since O = Center of bigger circle, OA = Radius of bigger circle.

∴ Area of smaller circle - Area of bigger circle = Area of shaded part.

∴ Area of smaller circle = 22/7 × 10²

= 22/7 × 100

= 2200/7

= 314 2/7 cm²

∴ Area of bigger circle = 22/7 × 20 ²

= 22/7 × 400

= 1257 1/7 cm²

∴ Area of shaded part = 1257 1/7 - 314 2/7

= 942 6/7 cm²

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A local am radio station broadcasts at a frequency of 764 khz. calculate the energy of the frequency at which it is broadcasting

pentagon [3]

The frequency of the emitted radio waves is:
$f=764 kHz = 7.64 \cdot 10^5 Hz$

The energy of a photon is given by:
$E=hf$
where h is the Planck constant and f is the photon frequency. Using the frequency given by the problem, we can find the energy of each photon of this radiation:
$E=hf=(6.6 \cdot 10^{-34} Js)(7.64 \cdot 10^5 Hz)=5.04 \cdot 10^{-28} J=5.04 \cdot 10^{-31} kJ$

7 0

4 years ago

Write an equation in slope-intercept form for the line that satisfies the following condition. slope 6, and passes through (5, 2

evablogger [386]

I can't remember if this is correct or not but I believe it would be 5 multiplied by 20 plus 6. As I said I don't Know for sure if this is correct or not. However, I hope it help

4 0

3 years ago

Read 2 more answers

John and his friends but four bags of popcorn and three sodas at a movies for a total of $13.50 at the next movie John and his f

Aleonysh [2.5K]

To answer this question you will set up a system of equations to represent each scenario. Solve for one variable and substitute that in to the other equation to find the missing value. This example will have you solving for p, the price of popcorn.

4p + 3s = 13.50 and 2p + 5s = 12

2p + 5s = 12
-2p -2p
5s = 12 - 2p
5 5
s = 2.4 - 0.4p

4p + 3s = 13.50
4p + 3(2.4 - 0.4p) = 13.50
4p +7.2 - 1.2p = 13.5
2.8p +7.2 = 13.5
-7.2 -7.2
<u>2.8p</u> = <u>6.3</u>
2.8 2.8
p = 2.25

The price of popcorn is 2.25 and the soda is (2.4 - 0.4 x 2.25) $1.50.

5 popcorn and 2 sodas will cost (2.25 x 5 + 1.50 x 2) = $14.25.

5 0

3 years ago

A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of

ExtremeBDS [4]

Answer:

The manufacturer's claim is not supported

Step-by-step explanation:

The time duration the battery of the foldable drone is said to last, μ = 4 hours

The number of drones that were tested, n = 10 drones

The sample mean, $\overline x$ = 4.2 hours

The standard deviation, s = 0.4 hours

The hypothesis test level of significance = 0.5

The null hypothesis, H₀; μ = 4

The alternative hypothesis, Hₐ; μ ≠ 4

The test statistic is given as follows;

$t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}$

We get;

$The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008$

Therefore, the test statistic, t ≈ 1.58

The degrees of freedom, d. f. = n - 1

For n = 10, we have;

The degrees of freedom, d. f. = 10 - 1 = 9

From the t-table at 0.5 level of significance, the critical-t = 0.7

Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.

7 0

3 years ago

Help with this please! :)

dmitriy555 [2]

Answer:

w x 7 + 6 x 7

Step-by-step explanation:

Advice: Please make sure you cut out your tabs and your personal information while asking questions. I can easily see on the screenshot that your name is Isabella Fletcher.

3 0

3 years ago