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3 years ago

15

Mike builds a pen for his dogs near his barn. The pen is a regular hexagon with a side length of 4 feet. What is the area of the

pen?

1 answer:

Alexxx [7]3 years ago

6 0

Answer: Roughly 41.57

Step-by-step explanation:

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I need help with number 6.

Ugo [173]

Circumference of a circle = 2πr
r being the radius
2πr = 4π
so r = 2
Surface area of a sphere = 4πr^2
Just plug 2 in for r and solve.
SA = 16π = 50.27

6 0

4 years ago

Dr. V.R. Bencivenga and Dr. Stephen Donald Economics 329 HOMEWORK QUESTION - Belief in global warming In a large city a certain

Dmitry [639]

Answer: d. 1068

Step-by-step explanation:

Let p be the proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.

Given : You plan to take a survey of n adults to "estimate" this proportion. You want to be able to say that your estimate is within three percentage points (i.e., within 0.03) of the true proportion, with 0.95 probability.

Margin of error : E= 0.03

We know that the z-value for 95% confidence = $z_c=1.96$

Since the prior proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.

We assume p = 0.5

Then by Central Limit Theorem , the required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.5(1-0.5)(\dfrac{1.96}{0.03})^2$

Simply , we get

$n=1067.11111111\approx1068$ [Rounded to the next whole number.]

Hence, the smallest sample size that guarantees that you would obtain a satisfactory estimate =1068

5 0

4 years ago

christian has $425.82 in his checking account . How much does he have in his account after he makes a deposit if 120.75 and with

Oksanka [162]

A deposit adds to the amount of a checking account.
So a deposit of $120.75 is + 120.75.
A withdraw subtracts from the amount of a checking account.
So a withdraw of $185.90 is - 185.90.

If the original amount is $425.82, you would simply add the amount of the deposit then subtract the amount of the withdraw.

425.82 + 120.75 - 185.90 = 360.67

So the amount in Christian's checking account after <span>a deposit if $120.75 and withdrawal of $185.90 is $360.67.

Answer:
$360.67

Hope this helps! :)
</span>

5 0

3 years ago

You are shopping for some new clothes. you buy a shirt for $28 and a pair of dress shoes for $45. if you give the cashier a $100

ladessa [460]

45+28=73
100-73=27
You'll get 27 back

6 0

4 years ago

Helen wrote the following facts to try to show that division by 0 results in 0. Explain her error.

earnstyle [38]

Helen should of put 0 first, because if you're gonna divide, you need to put the product first, then one of the factoes.

So instead it should be 0÷(-7)=0

3 0

3 years ago