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mihalych1998 [28]
3 years ago
15

When the sun is at a certain angle in the sky, a 100 foot building will cast a 25 foot shadow. How y’all is a person if he casts

a 1.5 foot shadow at the same time?
Mathematics
1 answer:
uysha [10]3 years ago
4 0

Answer:

  6 ft

Step-by-step explanation:

The building height of 100 ft is 4 times the shadow length of 25 ft. At the same ratio, the person's height is 4 times the 1.5 ft shadow length, so is ...

  4 × (1.5 ft) = 6.0 ft

The person is 6 ft tall.

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The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula
Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015  = 45,000

⇒ The change in population in 10 years

= Population in year 2015 - Population in the year 2005

= 45,000  - 15, 000

= 30,000

⇒ The change in population in 10 years  = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

⇒ The change in population in each 10 years  = 30,000

⇒ The change in population in next 10 years

  = Population in year 2025 - Population in the year 2015

or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0
3 years ago
A family prepares an emergency kit for their home. The kit contains 63 gallons of drinking water. The​ family's daily drinking w
mr_godi [17]

Answer:

12 days

Step-by-step explanation:

Total gallons of the family's drinking water needs = gallons consumed by children + gallons consumed by adults

3\frac{1}{2} + 1\frac{3}{4} =

Converting to decimals

3.5 + 1.75 = 5.25 = 5\frac{1}{4}

If there are 63 gallons, the water supply would last for :

63 / 5.25 =12 days

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3 years ago
The equation of the line with slope = 3, going through point (2, 4) is:
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(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-3}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-3x+6\implies y=-3x+10

7 0
2 years ago
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Marrrta [24]

Answer:

I you will draw a number less than thirteen one fourth of the time. so 25%

Step-by-step explanation:

52 divided by 13 is four.

3 0
3 years ago
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