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NikAS [45]
1 year ago
5

I’m struggling with this question need some help

Mathematics
1 answer:
Sonbull [250]1 year ago
8 0
Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).

So, for the first prism, the height is 117/(4*6.5) = 4.5

Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75

So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches
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A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a 2 feet
Ksivusya [100]

Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

The length (L) of the rectangular swimming pool is twice its wide (W):

L_{1} = 2W_{1}

Also, the area of the walkway of 2 feet wide is 448:

W_{2} = 2 ft

A_{T} = W_{2}*L_{2} = 448 ft^{2}

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

A_{T} = A_{1} + A_{w}    (1)          

The area of the pool is given by:

A_{1} = L_{1}*W_{1}        

A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2}  (2)          

And the area of the walkway is:

A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1}    (3)          

Where the length of the bigger rectangle is related to the lower rectangle as follows:                  

L_{2} = 4 + L_{1} = 4 + 2W_{1}   (4)        

By entering equations (4), (3), and (2) into equation (1) we have:

A_{T} = A_{1} + A_{w}

A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}                

448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}            

224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1}

224 = W_{1}^{2} + 8 + 6W_{1}

By solving the above quadratic equation we have:

W₁ = 12 ft

Hence, the width of the pool is 12 feet, and the length is:

L_{1} = 2W_{1} = 2*12 ft = 24 ft

Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!                                                                                          

8 0
3 years ago
Jocelyn’s plane travelled 500 mph for 7.3 hours. How far did her plane travel?
kogti [31]

Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

total miles = speed(hours)

Jocelyn's plane travelled 500 mph for 7.3 hours.

total miles = 500(7.3)

Multiply.

total miles = 3650

Jocelyn's plane travelled 3650 miles.

Hope this helps!

3 0
3 years ago
PLEASE HELP. WORTH 50 PINTS IF CORRECT. A gate casts a shadow that is 5 feet long. A nearby cactus is 9 feet tall and casts a sh
brilliants [131]

Answer:

The height of the cactus is three times the height of the gate

The gate is 3 feet tall

3 0
3 years ago
Read 2 more answers
Please help me with NUMBER 7 !! Thank you so much! 20 points!! :))
mart [117]

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

8 0
3 years ago
A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCS
kari74 [83]

Answer:

a) Null and alternative hypothesis:

H_0: \pi=0.1\\\\H_a:\pi>0.1

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.

c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.

d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%

e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.

Step-by-step explanation:

a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.

Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.

On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.

This can be written as:

H_0: \pi=0.1\\\\H_a:\pi>0.1

7 0
3 years ago
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