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Pavlova-9 [17]
3 years ago
14

Redue the rate 100 miles per 5 hours to its unite rate and write the miles Portion

Mathematics
1 answer:
gavmur [86]3 years ago
5 0


100/5 = 20

20 = 20/1

Answer: 20 miles per hour is the unit rate.
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Can someone please help me answer this?
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Answer:

B

Step-by-step explanation:

If you don't understand some steps, comment it for me please.

1. Find diagonal.

d = 2r

d = 2(9)

d = 18

2. Find length of square.

each length of square = x

x : 18 = 1 : \sqrt{2}

\frac{x}{18} = \frac{1}{\sqrt{2} }

\sqrt{2}x = 18

x = \frac{18}{\sqrt{2} }  = 9\sqrt{2}

3. Find area of circle and square.

Area for circle

A = \pi r^2

A = \pi (9)^2

A = 81\pi = 254.4690...

Area for square

A = (length)^2

A = (9\sqrt{2})^2

A = 162

4. Subtract area of circle to area of square.

254.4690... - 162 = 92.4690...

5. Find the shaded region.

92.4690... / 4 = 23.1172...

Rounded to the nearest hundredth = 23.12

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3 years ago
one days discharge at its mouth, 3 trillion gallons, could supply all of country A’s household for 5 months. how much water an a
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let's use engineering notation for the sake of brevity.

1 trillion is 1,000,000,000,000, or just 1E12, twelve zeros.

1 million is then 1E6, six zeros.

we know the discharge for one day is 3E12 gallons, and that'd do just fine for country A for 5 months.  How many gallons in 1 month only?

\bf \begin{array}{ccll} gallons&months\\ \cline{1-2} 3E12&5\\ x&1 \end{array}\implies \cfrac{3E12}{x}=\cfrac{5}{1}\implies 3E12=5x \\\\\\ \cfrac{3E12}{5}=x\implies 6E11=x\implies 600000000000=x

if there are 200million inhabitants in A, namely 200E6 or 2E8 inhabitants, how many gallons per inhabitant from all those 6E11 gallons?

\bf \begin{array}{ccll} gallons&households\\ \cline{1-2} 6E11&2E8\\ x&1 \end{array}\implies \cfrac{6E11}{x}=\cfrac{2E8}{1}\implies 6E11=2E8x \\\\\\ \cfrac{6E11}{2E8}=x\implies \cfrac{600000000000}{200000000}=x\implies 3000=x

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