All categories

3 years ago

The area of a circle is 2,826 square centimeters. What is its diameter?

Mathematics

1 answer:

jenyasd209 [6]3 years ago

3 0

Formula to find the area of circle is:

a=πr² Where a= area and r= radius of the circle.

Given area: a=2,826 square centimeters.

So, plug in a=2,826 in the above equation to get r.

2826=πr²

$\frac{2826}{\pi} = \frac{\pir^{2}}{\pi}$ Dividing each sides by π.

$\frac{2826}{3.14} =r^{2}$ Since π=3.14

900=r²

√900=r

r=30

Since the diamter is twice the radius.

Hence, diameter= 2*30= 60.

So, the diameter of the circle is 60 centimeters.

900=

You might be interested in

Which statement is true ? I will give brainliest to the person who answers correctly.

Alja [10]

Answer: A
Explanation: Area of a rectangle = length * width= 2 * 5n = 10n. So Jenny was correct and Alan was wrong (because the length of the rectangle is not 2n; it is just 2)

5 0

3 years ago

Help pleaseeeee!!!!!!

never [62]

The square it’s self without the side triangles is 132ft^2 and the triangles them selves are 18ft^2.
Since there are 2 triangles both combined would be a total of 36ft^2
The total area of the square is 132ft^2
Total area of one triangle is 18ft^2
Total area is 168ft^2

Side length dimensions:
Square without sides: 12x11 ft
Each triangle: 1/2 12x3

4 0

3 years ago

Find the sum of 5(-3.4k -7) + (3k +12) and please show work

pishuonlain [190]

$5(-3.4k-7)+(3k+12)=\ \ \ \ | omiting\ brackets\\\\
-17k-35+3k+12=\\\\
-14k-23\\\\
Solution\ is\ -14k-23$

5 0

3 years ago

A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past

Vadim26 [7]

Answer:

We conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

Step-by-step explanation:

We are given that a particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000.

From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9800 miles.

Let $\mu$ = average miles for deluxe tires

So, Null Hypothesis, $H_0$ : $\mu \geq$ 50,000 miles {means that deluxe tire averages at least 50,000 miles before it needs to be replaced}

Alternate Hypothesis, $H_A$ : $\mu$ < 50,000 miles {means that deluxe tire averages less than 50,000 miles before it needs to be replaced}

The test statistics that will be used here is One-sample z test statistics as we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean lifespan = 46,500 miles

$\sigma$ = population standard deviation = 8000 miles

n = sample of tires = 28

So, test statistics = $\frac{46,500-50,000}{\frac{8000}{\sqrt{28} } }$

= -2.315

The value of the test statistics is -2.315.

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is less than the critical value of z as -2.315 < -1.6449, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

4 0

3 years ago

A sprinkler head turns through 40 one–degree angles every minute. What is the measure of the angle the sprinkler head turns afte

bixtya [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers