From unit conversion, it is found the following results:
6km ≈ 3.73 mi
2.5 L≈ 0.66 gal
90 lb ≈ 40.82 kg
<h3>
Unit Conversion</h3>
Units of measurement are part of our daily lives. There are different units for area, length, volume, mass, and others. Because of this, it is important to know converting them.
For solving this question you need some information as:
1 km = 0.621371 mi ( unit for length and distance)
1 L = 0.2641722 gallons (unit for volume)
1 lb = 0.453592 kg (unit for mass)
Therefore,
- If 1 km = 0.621371 mi, you will have:
1 km -------- 0.621371 mi
6 km -------- x mi
x= 6* 0.621371
x=3.73 mi
Thus, 6km ≈ 3.73 mi.
- If 1 L = 0.2641722 gallons, you will have:
- 1 L-------- 0.2647122 gal
- 2.5L -------- x gal
- x= 2.5* 0.2647122
- x=0.66 gal
- Thus,
- 2.5 L≈ 0.66 gal.
- If 1 lb = 0.453592 kg, you will have:
- 1 lb-------- 0.453592 kg
- 90 lb -------- x kg
- x= 90* 0.453592
- x=40.82 kg
- Thus,
- 90 lb≈ 40.82 kg
- .
Read more about unit conversion here:
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Answer:
<em>Similarity doesn't changes angle measures</em>
- ∠U = 56°, ∠U' = 3x - 16
- ∠U = ∠U'
a) 3x - 16 = 56 ⇒ 3x = 72 ⇒ x = 24°
b) ∠T = x + 46 = 24 + 46 = 70°
c) <u>Scale factor:</u>
- k = S'T'/ST = 19/57 = 1/3
<u>Find y using known sides and scale factor:</u>
- U'V'/UV = 1/3
- (y + 4)/63 = 1/3
- y + 4 = 21
- y = 21 - 4
- y = 17
Answer:
It will take the 20 years for the population to quadruple.
Step-by-step explanation:
Exponential population growth:
An exponential model for population growth has the following model:
In which P(0) is the initial population and r is the growth rate, as a decimal.
It grows with a doubling time of 10 years.
This means that 
. We use this to find r. So
![\sqrt[10]{(1+r)^10} = \sqrt[10]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%2Br%29%5E10%7D%20%3D%20%5Csqrt%5B10%5D%7B2%7D)
So
Determine how long it will take for the population to quadruple.
This is t for which P(t) = 4P(0). So
It will take the 20 years for the population to quadruple.
Answer:
y-2
Step-by-step explanation:
3x - 5 = 10 or 3 × 5 - 5 = 10
y ÷ x - 4 = 14 or 36 ÷ 2 - 4 = 14
