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Hoochie [10]
2 years ago
9

Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual

distance if you travel from New Wilmington to Sharon through Volant?
51 mi; 45 mi

102 mi; 90 mi

76.5 mi; 67.5 mi

25.5 mi; 22.5 mi

Mathematics
2 answers:
Fynjy0 [20]2 years ago
8 0
Your answer is C!

Hope i helped!
  

~Cakes



irga5000 [103]2 years ago
6 0

Answer:

Option A. 51miles, 45 miles

Step-by-step explanation:

Distance between New Wellington to Sharon through Mercer is given as

Distance between New Wellington to Mercer + Distance between Mercer to Sharon

= 2 + 2.25

= 4.25 in.

Now we have been given the conversion formula as

1 in = 12 miles

So 4.25 in. will be = 12×4.25 miles

                              = 51 miles

Therefore, actual distance from New Wilmington to Sharon via Mercer is 51 miles.

Now we have to calculate the actual distance between New Wilmington to Sharon through Volant.

Distance between New Wilmington to Volant = 1 in.

and distance between Volant to Sharon = 2.75 in.

Distance between New Wilmington to Sharon via Sharon = 2.75 + 1 = 3.75 in.

Now we will use conversion table to get the actual distance.

∵ 1 in. distance = 12 miles

∴ 3.75 in distance = 12×3.75 = 45 miles

Therefore, Option A. 51 miles and 45 miles is the answer.

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Answer:

5.024 × 10^8 tons /day

Step-by-step explanation:

This question has to deal with conversion

We are told in the question that:

On average, water flows over a particular water fall at a rate of 2.05 x 10^5 cubic feet per second.

Water flow rate = 2.05 × 10^5 ft³/s

From the question,

One cubic foot of water weighs 62.4 lb.

1 ft³ = 62.4 lb

1 ton = 2200 lb

We are to calculate the flow rate in tons per day

Hence,

1 ft³ = 62.4 lb

2.05 × 10^5 ft³ =

Cross Multiply

2.05 × 10^5 × 62.4

= 12792000lb

Hence the water flow rate = 12792000lb/s

From the question,

2200 lb = 1 ton

12792000 Ib =

Cross Multiply

12792000lb × 1 ton/2200 lb

= 5814.5454545 tons

Hence the water flow rate = 5814.5454545 tons/second

We want the flow rate to be in tons/day

1 ton / second = 86400 tons / day

5814.5454545 tons/second = x tons/ day

Cross Multiply

x = 5814.5454545 tons/second × 86400 tons /day/ 1 ton / second

= 502376727.27 tons/day

= 5.0237672727 × 10^8 tons/day

Approximately ≈ 5.024 × 10^8 tons /day

Therefore, the rate of water flow in tons of water per day is 5.024 × 10^8 tons of water /day

7 0
2 years ago
Derrick needs to figure out how he’s doing on his test scores so far this year. You can help by calculating the mean and the med
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Answer:

74.4 ,81.5 , median

Step-by-step explanation:

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If m< LMP is 11 degrees more than m< NMP and m< NML =137, find each measure
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First, note that for angles LMP and NMP you have

m\angle LMP+m\angle NMP=m\angle NML.

If m\angle LMP is 11^{\circ} more than m\angle MNP, then

m\angle LMP=m\angle NMP+11^{\circ}.

Now, since m\angle MNL=137^{\circ}, you have

137^{\circ}=m\angle NMP+11^{\circ}+m\angle NMP,\\ \\2m\angle NMP=137^{\circ}-11^{\circ}=126^{\circ},\\ \\m\angle NMP=63^{\circ}.

Therefore,

m\angle LMP=63^{\circ}+11^{\circ}=74^{\circ}.

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7 0
2 years ago
Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1
sergiy2304 [10]

The height of statue is 12.2 inches in Troy's drawing.

Step-by-step explanation:

Given,

Actual height of statue = 305 feet

Scale used by Troy;

25 feet = 1 inch

1 feet = \frac{1}{25}\ inches

305 feet = \frac{1}{25}*305 \ inches

305 feet = \frac{305}{25}\ inches\\

305 feet = 12.2 inches

The height of statue is 12.2 inches in Troy's drawing.

Keywords: unit rate, division

Learn more about unit rate at:

  • brainly.com/question/884169
  • brainly.com/question/902892

#LearnwithBrainly

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