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3 years ago

A circular donut had a radius of 7 feet. What is the area?

Mathematics

1 answer:

alex41 [277]3 years ago

6 0

Answer:

≈ 153.86

Step-by-step explanation:

Area of a circle's formula is: A = πr² π in this would be approximately 3.14

using this formula and the given radius, we can plug it into the formula

A = (3.14)(7)² --> A= (3.14)(49) ≈ 153.86

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James is solving a number puzzle that involves three integers, a, b, and c, where c is a positive integer. The product of a and

m_a_m_a [10]

Given:

Three integers, a, b, and c, where c is a positive integer.

The product of a and b is 6.

The product of a and c is -4.

The product of b and c is -6.

To find:

The values of a,b and c.

Solution:

According to the given information:

$ab=6$ ...(i)

$ac=-4$ ...(ii)

$bc=-6$ ...(iii)

From (ii), we get

$a=-\dfrsc{4}{c}$ ...(iv)

From (iii), we get

$b=-\dfrsc{6}{c}$ ...(v)

Putting $a=-\dfrsc{4}{c}$ and $b=-\dfrsc{6}{c}$ in (i), we get

$\dfrac{-4}{c}\times \dfrac{-6}{c}=6$

$\dfrac{24}{c^2}=6$

$\dfrac{24}{6}=c^2$

$4=c^2$

Taking square root on both sides, we get

$\pm \sqrt{4}=c$

$\pm 2=c$

It is given that c is a positive integer. So, it cannot be negative and the only value of c is $c=2$ .

Putting $c=2$ in (iv), we get

$a=-\dfrsc{4}{2}$

$a=-2$

Putting $c=2$ in (v), we get

$b=-\dfrsc{6}{2}$

$b=-3$

Therefore, the values of a,b,c are $a=-2,b=-3,c=2$ .

8 0

3 years ago

Which of the following is equivalent to 2 2/5 ?

Nadusha1986 [10]

The correct answer is 7/5

4 0

3 years ago

Read 2 more answers

PLZZZZZ NEED HELP!!!!!!

tia_tia [17]

Answer:

Total annual premium = $1770.10

Step-by-step explanation:

Given the information in the problem, looking at the different categories of each level of insurance and the corresponding premium will give you the amounts for each part. To find the total annual premium, you need to find the sum of all the parts and then multiply this by the rating factor for his gender and age group.

Since he is purchasing 100/300/100 liability insurance, you need to first look at the 'Liability Insurance' table and locate the 100/300 option under 'Bodily Injury'. This premium is $450. Also, he is purchasing an additional 100 for Property damage which is an added premium of $375.

Next, he is getting collision insurance with a $100 deductible. This is the second column in the second table and has a premium of $215. He also wants comprehensive insurance with a $250 deductible which has a premium of $102.

Since he is a 26-year-old male, his rating is 1.55, so we will need to multiply the sum of his premiums by this number:

(450 + 375 + 215 + 102)1.55 = $1770.10

3 0

3 years ago

100 POINTS+ BRAINLYEST❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Karo-lina-s [1.5K]

Step-by-step explanation:

The vertex form of a parabola can be written as

$y = {a(x - h)}^{2} + k$

where (h, k) are the coordinates of the parabola's vertex. The vertices of the functions are as follows:

a) (3, 5)

b) (-7, 3)

c) (4, 0)

d) (0, -1)

e) (-1, -5)

f) (-1, -5)

7 0

3 years ago

Researchers wanted to determine if there was an association between the level of satisfaction of an individual and their risk of

castortr0y [4]

Answer:

Step-by-step explanation:

Hello!

To see if there is an association between the variables:

"Level of satisfaction of an individual"

"Risk of diabetes of an individual"

The researchers studied 1621 people over 5 years.

Observations recorded:

Interviews of daily lives and hassles and hypothetical situations that were studied to assess their emotions.

Determination, if in the course of these 5 years the individuals experienced any type of diabetes.

Conclusion "Satisfied individuals are less likely to have diabetes"

a) This is a prospective cohort study.

In this type of study, a group of individuals that share the same characteristics is observed over some time, recording the events of interest.

b) Considering that the experiment concluded that "satisfaction" reduces the "risk of diabetes", we can determine that the response variable is "Risk of diabetes of an individual" and the explanatory variable is "Level of satisfaction of an individual".

Remember, the explanatory variable is the one considered to have a direct effect over the response variable.

c) "the research team also hasn't ruled out that a common factor like genetics could be causing both the emotions and the lung cancer."

There is a new variable that may affect the experiment. Be "genetic factor" the new variable and it affects directly "emotions and lung cancer", we can say that if some of those individuals are genetically predisposed to have lung cancer, this affects their emotions (satisfaction) and therefore, modifying their risk of having diabetes.

If this is so, then the genetic factor could be a lurking variable affecting directly the result of the observational experiment. Then the correct answer is:

A. The researchers may be concerned with confounding that occurs when the effects of two or more explanatory variables are not separated or when some explanatory variables were not considered in a study, but that affects the value of the response variable.

I hope it helps!

3 0

3 years ago