answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Licemer1 [7]
2 years ago
14

A tourist looks out from the observation deck of the Space Needle in Seattle. The deck is at a height of 520 ft. She sees her fr

iend on the ground below at an angle of depression of 80.2 What is the distance between the two? Round your answer to the nearest tenth of a foot.

Mathematics
1 answer:
WARRIOR [948]2 years ago
6 0

Answer:

Last option 527.7 ft

Step-by-step explanation:

From the diagram attached we can see the angle of depression is 80.2 which is equal to ∠ACB (alternate angles)

Height of the deck AB = 520 ft. and we have to calculate the distance H between the tourist and her friend.

Sin ∠ACB = \frac{AB}{AC}

Now we apply sin rule sin 80.2 = \frac{520}{H}

.9854=\frac{520}{H}

H = \frac{520}{.9854} = 570 ft

So the tourist and her friend are 527.7 ft apart.

You might be interested in
At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the c
BartSMP [9]

Answer:   | x - \frac{15}{3} | = 120  or \frac{1}{3}| 3 x - 15|= 120 or  | 3x - 15| = 360 or  | x - 5 | = 120

Step-by-step explanation:

Since, According to the question,

For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $3.

And, If a contestant weighing x pounds received $15

Then the guessed weight of contestant = | x - \frac{15}{3} |

But,  Again according to the question,

The guessed weight is 120 pounds,

Thus, | x - \frac{15}{3}|= 120

⇒ \frac{1}{3}| 3 x - 15|= 120

⇒  | 3x - 15|= 3\times 120 (by multiplying 3 on both sides)

⇒  | 3x - 15|= 360

⇒  3| x - 5|= 360

⇒  | x - 5|= 120  ( On dividing both sides by 3 )

4 0
2 years ago
Read 2 more answers
According to a study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That
timama [110]

Answer:

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

3 0
2 years ago
A rectangular garden has a width that is 8 feet less than twice the length. Find the dimensions if the perimeter is 20 feet.
krok68 [10]

Answer:

length = 6 feet

width = 4 feet

Step-by-step explanation:

To find the dimensions of the rectangle, you can set up a variable and an expression that will equal the perimeter of the figure.  Given l = length, width is '8 feet less than twice the length' or w = 2l - 8.

The general formula for perimeter of a rectangle is:

2w + 2l = P, where w = width and l = length

Using the variable and expression from above and the perimeter of 20 feet:

2(2l - 8)+ 2l = 20

distribute: 4l - 16 + 2l = 20

combine like terms: 6l - 16 = 20

add 16 to both sides: 6l - 16 + 16 = 20 + 16 or 6l = 36

divide and solve for 'l':  6l/6 = 36/6, or l = 6 feet

solve for 'w':  w = 2(6) - 8 or w = 12 - 8 = 4 feet

4 0
2 years ago
a university theater sold 556 tickets for a play, tickets cost $22 per adult tickets and $ 12 for senior citizen ticket, if the
Deffense [45]
Let no. of adult tickets be x and senior citizen tickets be y. x + y = 556 22x + 12y = 8492 Solving by simultanous equations, x = 182 adult tickets y = 374 senior citizen tickets
7 0
2 years ago
2.8 meters linen divided into 45 cm pieces = # of pieces and waste
pogonyaev
2.8 meter= 2800cms

To solve this, we can create a simple algebraic equation:
45x=2800
Divide both sides by 45.
(45x)/45=(2800)/45
x=62.222

You can make 62 full pieces.

To find the waste, multiply the numbers of pieces by the length of each.
62*45
=2790
2800-<span>2790
=10 centimeters

There would be 10 centimeters of wasted linen.

Hope this helps!
-Benjamin</span>
6 0
2 years ago
Other questions:
  • Rowanda jogged 2.14 kilometers farther then terrance. Select the values that could represent how far each student jogged. Mark a
    11·1 answer
  • Elaine bought $4 worth of apples and $3 worth of lemons did her grocery bag weigh more than 5 1/4
    12·1 answer
  • An online music store sells about 4000 songs each day when it charges $1 per song. For each $0.05 increase in price, about 80 fe
    8·2 answers
  • The ratio of blue tacks to red tacks on the bulletin board is 3 to 5. There are 50 red tacks. How many blue tacks are on the boa
    10·1 answer
  • A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the large number an
    9·2 answers
  • Three students solve a challenge math problem. Every day, the number of students who solve the problem doubles. There are 384 st
    10·2 answers
  • You are buying a new internet service. The service costs \$75$75dollar sign, 75 per month. In the equation below, ddd is the tot
    5·1 answer
  • A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family
    6·1 answer
  • -201 = -3 +6(-6x – 3) Solve Multi-Step equation
    5·1 answer
  • The projected worth (in millions of dollars) of a large company is modeled by the equation w = 206(1.1) t. The variable t repres
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!