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3 years ago

If a 5 ft tall man cast an 8 ft long shadow at the same time a tree cast a 24 ft long shadow, how tall is the tree?

Mathematics

2 answers:

Taya2010 [7]3 years ago

5 0

Answer:

15 feet

Step-by-step explanation:

We have 2 similar right triangles with legs height and length of shadows.

height of men : length of shadows of the man = height of tree : length of shadows of the tree

5 : 8 = x : 24

8x = 5* 24

x = 5*24/8 = 15 (feet)

erma4kov [3.2K]3 years ago

3 0

Answer:

15ft

Step-by-step explanation:

5 ft is to 8 ft

A ft is to 24 ft

A = 24*5/8

A = 15ft

15ft

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At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the populatio

Maksim231197 [3]

Answer:

C. 1.8027

Step-by-step explanation:

The exponential population growth model is given by:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.

This means that $P_{0} = 1.65, P(3) = 1.74$

Applying this to the equation, we find r. So

$P(t) = P_{0}e^{rt}$

$1.74 = 1.65e^{3r}$

$e^{3r} = \frac{1.74}{1.65}$

$e^{3r} = 1.0545$

Applying ln to both sides

$\ln{e^{3r}} = \ln{1.0545}$

$3r = \ln{1.0545}$

$r = \frac{\ln{1.0545}}{3}$

$r = 0.0177$

$P(t) = 1.65e^{0.0177t}$

What would be the population of the city 5 years after the start of the population study?

This is P(5).

$P(t) = 1.65e^{0.0177t}$

$P(5) = 1.65e^{0.0177*5}$

$P(5) = 1.8027$

So the correct answer is:

C. 1.8027

6 0

4 years ago

This is for a p e x and I don’t understand

Alexus [3.1K]

Answer:

ya cant even see it

Step-by-step explanation:

5 0

3 years ago

On a number line, the square root of 50 is located between which two integers? between 5 and 6 between 7 and 8 between 25 and 26

erica [24]

Square root of 50 lies between 7 and 8 on a number line.

Step-by-step explanation:

Step 1: Find √50.

√50 = 7.07

7.07 > 7

⇒ 7.07 lies between 7 and 8 on a number line.

8 0

4 years ago

a bicyclist travels 6.5 miles in a half hour , what is the number of miles the bicyclists travel in one hour

Norma-Jean [14]

The bicyclist(s) will travel 13 miles in a hour

4 0

3 years ago

When the product of 5 and a number is increased by5, the result is 17.Find the number

Andreas93 [3]

5n+ 5= 17

5n= 17-5

5n= 12

N= 12/5

N= 2.4

The answer is 2.4.

Hope this helps!

5 0

4 years ago