1answer.
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
enyata [817]
3 years ago
10

Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to

the top of the building.  If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building? Round the answer to the nearest tenth of a foot. 10.3 ft 17.6 ft 30.2 ft 97.2 ft
Mathematics
1 answer:
AveGali [126]3 years ago
4 0
Let x be her initial distance from the building, then tan 37 = 130/x
x = 130/tan 37 = 130/0.7536 = 172.5 feet

Let y be her distance from the building after moving forward, then
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9

After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.
You might be interested in
PLZ PLZZZZ HELP ASAP!!!!! <br> Explain the error: 144x2 - 100 (12x + 10)(12x - 10) 2(6x + 5)(6x - 5)
iogann1982 [59]

9514 1404 393

Answer:

  a factor of 2 is shown, but 4 was factored out

Step-by-step explanation:

The difference of squares is factored as ...

  a² -b² = (a +b)(a -b)

Then the given difference of squares factors as ...

  144x² -100 = (12x)² -10² = (12x +10)(12x -10)

Each of these factors has a factor of 2 that can be factored out:

  = (2(6x +5))(2(6x -5))

  = (2·2)(6x +5)(6x -5)

  = 4(6x +5)(6x -5)

The first factor should be 4, not 2.

7 0
3 years ago
Write 4.83…. (The 3 repeats infinitely)as a mixed number
kogti [31]

Answer:

4\frac56

Step-by-step explanation:

\frac56=0.8 \dot{3}

\implies 4.8 \dot{3}=4\frac56

6 0
2 years ago
Read 2 more answers
Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
kherson [118]

Answer:

Step-by-step explanation:

First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.

Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio

Second music is redder than first mix.

4 0
3 years ago
Suppose the sediment density (g/cm3 ) of a randomly selected specimen from a certain region is known to have a mean of 2.80 and
Irina18 [472]

Answer:

0.918 is the probability that the sample average sediment density is at most 3.00

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2.80

Standard Deviation, σ = 0.85

Sample size,n = 35

We are given that the distribution of sediment density is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.85}{\sqrt{35}} = 0.1437

P(sample average sediment density is at most 3.00)

P( x \leq 3.00) = P( z \leq \displaystyle\frac{3.00 - 2.80}{0.1437}) = P(z \leq 1.3917)

Calculation the value from standard normal z table, we have,  

P(x \leq 3.00) = 0.918

0.918 is the probability that the sample average sediment density is at most 3.00

4 0
3 years ago
Solve the following equation and show all the steps to solving.
Bumek [7]
\bf \cfrac{x}{x-2}+\cfrac{x-1}{x+1}=-1\impliedby LCD\to (x-2)(x+1)\\\\&#10;-------------------------------\\\\&#10;\cfrac{x(x+1)+(x-1)(x-2)}{(x-2)(x+1)}=-1&#10;\\\\\\&#10;x^2+x+x^2-3x+2=-1(x-2)(x+1)&#10;\\\\\\&#10;2x^2-2x+2=-1(x^2-x-2)\implies 2x^2-2x+2=-x^2+x+2&#10;\\\\\\&#10;3x^2-3x=0\implies 3x(x-1)=0\implies &#10;\begin{cases}&#10;3x=0\implies &x=0\\&#10;x-1=0\implies &x=1&#10;\end{cases}
8 0
3 years ago
Other questions:
  • A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any
    11·1 answer
  • It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198 text messages?
    15·1 answer
  • Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the
    5·1 answer
  • CAN SOMEONE PLEASE HELP ME ?WITH THE QUESTION I JUST POSTED
    13·1 answer
  • QUICK HELP
    6·1 answer
  • Please help!! I'm really confused
    13·2 answers
  • HELP PLEASE!!!!
    13·1 answer
  • The equation y=36.5x represents the number of miles, y, that Katherine can drive her car for every, x, gallons of gas. Find the
    14·2 answers
  • Find the difference of 24.7 and 20.5​
    7·2 answers
  • An environmentalist tracks the total number of trees y in a park after x years of a planting program. The line of best fit for t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!