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3 years ago

Will mark brainiest, please explain

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

Imagine cutting this shape into two semi-circles and one rectangle.

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Each semi-circle has a diameter of 36 meters
The radius would be <em>(36/2) = </em>18 meters.

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<em>We know the area of a whole circle which is π</em> $r^{2}$ <em />

The formula of area of a semi-circle: 1/2(π $r^{2}$ )

<em>because a semi-circle is basically half of the whole circle!</em>

<em />

However, since we have two equal semi-circles...we can just put them together and solve for the whole circle's area.

<em>for reference: </em>

1/2(π $r^{2}$ ) + 1/2(π $r^{2}$ ) = 2/2(π $r^{2}$ ) = π $r^{2}$

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First, the area of rectangle: length times width = 84 x 36 = 3024 square meters

<em>Anyways, since we have to sub in 3.14 for π </em>

Area of a whole circle: (3.14 x $r^{2}$ ) = (3.14 x $18^{2}$ ) = 1017.36 square meters

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3024 + 1017.36 = 4041.36 square meters

<h2>ANSWER: J </h2>

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Given p=3q which of these will be p if q is increased by 2?

MAXImum [283]

If we increase q by 2, it means that q becomes q+2.

So, p will become

$p=3q \mapsto \bar{p}=3(q+2)=3q+6=p+6$

So, the new value for p is 6 more than the previous one.

The second exercise looks a bit odd: if the sequence started with -100, then it would be

-100, -97, -94, -91, -88,...

And every term would be 3 more than the previous one, so the next term would be -85, but this doesn't appear in your option.

Also, the fact that the sequence starts with positive 100 is quite strange, because it is unrelated to the rest of the sequence.

Are you sure that the exercise is written correct? Or are there any typos?

8 0

3 years ago

Two cubes have surface areas of 81 square inches and 144 square inches. What is the ratio of the volume of the small cube to the

Katena32 [7]

We know, surface area of cube = 6a²

So, side length of 1st cube = a² = 81/6
a = 3.67

Side length of 2nd cube = a² = 144/6
a = 4.90

Now, volume of cube = a³

Volume of 1st cube = 3.67³ = 49.43

Volume of 2nd cube = 4.90³ = 117.64

So, Ratio = 49.43 / 117.64 = 1/2.38

In short, Your Answer would be: 1: 2.38

Hope this helps!

5 0

3 years ago

Write the ratio as a fraction in lowest terms.<br> 15 minutes to 3 hours

mel-nik [20]

Answer:

Part A is 5/6 of the whole

Part B is 1/6 of the whole

Solution:

Assuming there are no other parts,

the Whole = A + B is the denominator:

Whole = 15 + 3 = 18

Part A = 15 and Part B = 3 are numerators for each fraction.

The fractions are then:

15/18 and 3/18

Meaning:

Part A is 15/18 of the whole

Part B is 3/18 of the whole

Reducing the fractions, it is also true that:

Part A = 5/6 of the whole

Part B = 1/6 of the whole

7 0

3 years ago

Read 2 more answers

A company makes auto batteries. They claim that of their LL70 batteries are good for months or longer. Assume that this claim is

Katen [24]

Answer:

The probability that the sample proportion is within 0.03 of the population proportion is 0.468.

Step-by-step explanation:

The complete question is:

A company makes auto batteries. They claim that 84% of their LL70 batteries are good for 70 months or longer. Assume that this claim is true. Let p^ be the proportion in a random sample of 60 such batteries that are good for 70 months or more. What is the probability that this sample proportion is within 0.03 of the population proportion? Round your answer to two decimal places.

Solution:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p\\$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The information provided is:

$p=0.84\\n=60$

As the sample size is large, i.e. <em>n</em> = 60 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion of LL70 batteries that are good for 70 months or longer.

Compute the probability that the sample proportion is within 0.03 of the population proportion as follows:

$P(-0.03$

Thus, the probability that the sample proportion is within 0.03 of the population proportion is 0.468.

8 0

3 years ago

A manufacturing company builds construction machinery. It sells 10 machines for $18,100 and 20 machines for $26,600. Which equat

Anon25 [30]

<h3>Answer:</h3>

D. R(x) = 850x +9600

<h3>Step-by-step explanation:</h3>

Selling 10 more machines increased revenue from $18100 to $26600, an increase of ...

... $26,600 -18,100 = $8,500

That is, the revenue increased by $8500/10 = $850 per machine.

Only one answer choice has this number in it:

... D. R(x) = 850x+9600

_____

<em>Check</em>

R(10) = 850·10 +9600 = 8500 +9600 = 18,100 . . . . OK

R(20) = 850·20 +9600 = 17000 +9600 = 26,600 . . . . OK

_____

<em>Comment on answer selection</em>

On multiple-choice questions, it is rarely necessary to work out the solution to the problem completely. Usually, it is sufficient to find the one number that discriminates between correct and incorrect answers.

In real life, answers are rarely multiple-choice. You are required to work the problem completely and to figure out how to tell if your answer is correct.

Here, we have worked the problem far enough to find the slope, the amount by which revenue increases when sales increases by 1 unit. The intercept can be found different ways. One of them is to see what number makes the revenue match for one of the "x" values:

... R(10) = 850·10 +b = 18100

... b = 18100 -8500 = 9600

so ...

... R(x) = 850x +9600

We can check this answer by computing R(20), as we have above.

8 0

3 years ago

Read 2 more answers