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enyata [817]
4 years ago
14

dan is building a circular swimming pool and wants the circumference to be no more than 95 feet what is the largest radius possi

ble for the pool. Round to the nearest tenth of a foot.
Mathematics
1 answer:
sleet_krkn [62]4 years ago
5 0

The largest radius for the swimming pool is 15.1 feet

Step-by-step explanation:

Step 1:

Circumference of the circular swimming pool built by Dan  = 95 feet

We need to determine the largest radius for the pool.

Step 2 :

Circle's circumference  is given by 2πr

Where r represents the radius

This shows that the radius is in direct proportion to the circumference. Hence the radius corresponding to the maximum circumference will be the largest possible radius

So we have 2πr = 95

=> r = \frac{95}{2\pi }  

=> r =   \frac{95}{2} × \frac{7}{22 }  where \pi  = \frac{22}{7}

=> r = 15.1 feet (rounded off to tenth of a foot)

Step 3 :

The largest radius for the swimming pool is 15.1 feet

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To make a punch Anna adds 8 ounces of apple juice for every 4 ounces of orange juice if she uses 32 ounces of apple juice which
Novosadov [1.4K]

Answer:

Step-by-step explanation:

If our ratio is apple juice to orange juice, then the proportion will be

\frac{a}{o}:\frac{8}{4}

If we are looking for how much orange juice she needs if she uses 32 ounces of apple juice, then 32 goes on top of a new ratio and x goes on bottom:

\frac{a}{o}:\frac{8}{4}=\frac{32}{x}

That's the proportion.  If you need to solve it, cross multiply to get

8x = 128 so

x = 16 ounces of orange juice

6 0
3 years ago
you are having a pizza making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (includi
grandymaker [24]

Answer:  78 ounces of dough was bought.

52 ounces of sauce was bought.

There were 13 guests .

Step-by-step explanation:

Let x = Number of guests

As per given, For each person 6 ounces of dough and 4 ounces of sauce is required.

i.e. Total ounces of dough and sauce together required = 6+4=10

The dough and sauce is 130 ounces all together.

i.e. 10x=130

Divide both sides by 10 , we get

x= 13

i.e. there were 13 guests .

Total ounces of dough = 6 x ( Number of guests) = 6 x 13= 78 ounces

hence, 78 ounces of dough was bought.

Total ounces of sauce = 4 x ( Number of guests) = 4 x 13= 52 ounces

hence, 52 ounces of sauce was bought.

3 0
4 years ago
Alexis is a lawyer. She bills her clients $100 an hour for her services. She can also mow her lawn in 30 minutes. She can hire s
Papessa [141]

Answer:

b) $49

Step-by-step explanation:

The question here is not if Alexis can mow the lawn faster or slower than the person who hires (actually, the time that the person hired took to mow the lawn is irrelevant).

The important part is the time Alexis can save hiring someone:

  • Alexis mow her lawn in 30 minutes.
  • Alexis earns $100 an hour. Then 30 minutes of her time is worthy $50.

Then, paying $50 or less is a good choice for Alexis.

Therefore the answer is b) $49.

8 0
4 years ago
Find the area of the composite figure.
iogann1982 [59]

Answer:

1048.32 or 432 pi

Step-by-step explanation:

12*12=144

144+(4/3 pi *6^3)

6*6*6=216

216*4/3pi=864/3

864/3=288

288*3.14(pi)=904.32

904.32+144=1048.32

(If you have the pi symbol the answer is 144+288=432pi)

6 0
4 years ago
Please help, I’m having trouble
maw [93]

Answer:

z=13

Step-by-step explanation:

SU         1

------   = ------

WV          2

z             1

-----   = ----------

z+13        2

Using cross products

2z = z+13

Subtract z from each side

2z-z = z+13-z

z = 13

8 0
2 years ago
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