What is the period of the function f(x) shown in the graph? Enter your answer in the box.

two people decide to find the height of an obelisk. they position themselves 25 feet apart in line with, and on the same side of

GaryK [48]

Answer:

95.82 ft

Step-by-step explanation:

Since they are in line with the obelisk and are 25 feet apart,

they can be sketched to represent a right angle triangle, the points representing A and B, let the height of the obelisk be h, the distance between the foot of the obelisk and B = x ft so that the distance between the foot of the obelisk and A = x ft + 25 ft.

Using trigonometrical ratio

tan 54 = $\frac{h}{x+25ft}$

tan 65 = $\frac{h}{x}$

make x subject of the formula

x = $\frac{h}{tan 65}$ = 0.466 h

substitute for x in the first equation

1.376 ( x + 25 ft) = h

1.376 ( 0.466 h + 25 ft) = h

0.641 h + 34.4 = h

34.4 ft = h - 0.641 h

34.4 ft = 0.359 h

h = 34.4 ft / 0.359 = 95.82 ft

5 0

3 years ago

The capacity of a beaker is 150 mL. How many beakers can be filled from a 4L container?

andrew11 [14]

4000 divided by 150 = 26.7 means 26 containers..
Don't forget to mark my answer the brainliest please! Ur Wecome!

8 0

3 years ago

If there is an 8.5% tax on a $30 sweater, what is the tax amount?

notsponge [240]

Answer:

$32.55

Step-by-step explanation:

Before Tax Price: $30.00

Sale Tax: 8.50% or $2.55

After Tax Price: $32.55

4 0

2 years ago

Read 2 more answers

Which of the following investments will earn the smallest amount of interest? a. $8,030, invested for 2 years at 2.0% interest b

TiliK225 [7]

Hi there :-)
The formula is
I=p×r×t

Now let's figure out each option
a)8,030×0.02×2
=321.2.....smallest amount

B)1,901×0.04×8
=608.32

C)5,530×0.02×6
=663.6

D)3,970×0.04×6
=952.8

The answer is a

Hope it helps

7 0

3 years ago

Read 2 more answers

1 point) As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distri

BigorU [14]

Answer:

(a) E (X) = 61 and SD (X) = 9

(b) E (Z) = 0 and SD (Z) = 1

Step-by-step explanation:

The time of the finishers in the New York City 10 km run are normally distributed with a mean,μ = 61 minutes and a standard deviation, σ = 9 minutes.

(a)

The random variable X is defined as the finishing time for the finishers.

Then the expected value of X is:

E (X) = 61 minutes

The variance of the random variable X is:

V (X) = (9 minutes)²

Then the standard deviation of the random variable X is:

SD (X) = 9 minutes

(b)

The random variable Z is the standardized form of the random variable X.

It is defined as: $Z=\frac{X-\mu}{\sigma}$

Compute the expected value of Z as follows:

$E(Z)=E[\frac{X-\mu}{\sigma}]\\=\frac{E(X)-\mu}{\sigma}\\=\frac{61-61}{9}\\=0$

The mean of Z is 0.

Compute the variance of Z as follows:

$V(Z)=V[\frac{X-\mu}{\sigma}]\\=\frac{V(X)+V(\mu)}{\sigma^{2}}\\=\frac{V(X)}{\sigma^{2}}\\=\frac{9^{2}}{9^{2}}\\=1$

The variance of Z is 1.

So the standard deviation is 1.

8 0

2 years ago