Ask question

Ask question

All categories

3 years ago

15

A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from

the top of the building to the end of the shadow it creates is at a 32 degree angle with the ground. What is the approximate height of the building?

1 answer:

MrRissso [65]3 years ago

7 0

Basic trig bro!
hint - you might want to use tan rule

You might be interested in

F= 200 lbs, d = 10 ft, How much work is performed?

sergij07 [2.7K]

Answer:

Step-by-step explanation:

Work = (force) x (distance)

= (200 lb) x (10 ft) = 2,000 ft-lbs .

4 0

3 years ago

a band of 45 ewoks crash-landed in the forest last night. this sounds like a small problem, but the population will grow at the

kogti [31]

Given Information:

Starting population = P₀ = 45

rate of growth = 22%

Required Information:

Population every five years from this year to the year 2050 = ?

Answer:

$Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\$

Step-by-step explanation:

The population growth can be modeled as an exponential function,

$P(t) = P_0e^{rt}$

Where P₀ is the starting population, r is the rate of growth of the population and t is the time in years.

We are given that starting population of 45 and growth rate of 22%

$P(t) = 45e^{0.22t}$

Assuming that the starting year is 2020,

$Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\$

Therefore, the starting population of ewoks was 45 in 2020 and increased to 33,079 by 2050 in a time span of 30 years.

8 0

3 years ago

What is the opposite of 4.25

Margaret [11]

Answer:

-4.25

Step-by-step explanation:

The given number is 4.25 and we have to find the opposite of this number.

Opposite of a number is also known as additive inverse and it is defined as "if the sum of two numbers is zero then two numbers are opposite or additive inverse of each other"

For example, if x is a number then its opposite is -x.

and hence, x + (-x) = 0

Using this fact, we can conclude that the opposite of 4.25 is -4.25 because

4.25 + (-4.25)

= 4.25 - 4.25

=0

4 0

3 years ago

Read 2 more answers

Problem1 The behavior of a physical system can be described by the following first order differential equation: dy/dt=2y +t^2

daser333 [38]

Answer:

$y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}$ .

Step-by-step explanation:

Using first order linear differential equation:

$\dfrac{\mathrm{d} y}{\mathrm{d} t} = 2y + t^2$

$\frac{\mathrm{d} y}{\mathrm{d} t} - 2y =t^2$

finding integrating factor:

I.F = $e^{\int -2dt}$

I.F = $e^{-2t}$

now,

$y = \dfrac{1}{IF}(\int t^2dt+ c )$

$y = \dfrac{1}{e^{-2t}}(\int t^2dt+ c )$

$y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}$

hence the solution is

$y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}$

8 0

4 years ago

A bag contains 3 red, 2 white, and 5 blue marbles. If one marble is drawn what is the probability that the marble will be red?

Rashid [163]

Answer:

3/10

Step-by-step explanation:

Given data

Sample space

3 red,

2 white, and

5 blue marbles.

Sample size

=3+2+5

=10

Hence the probability of picking a red marble is

=3/10

3 0

3 years ago