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rosijanka [135]
3 years ago
15

A man is standing on top of a 400 ft. tall building. He sees two people approaching the building along a straight road. He sees

one person at an angle of depression of 6 degrees and the other at an angle of depression 11 degrees. Find the distance between the two people. (Round your answer to the nearest whole number.)
Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

Draw a diagram. Then use tan(x) to find the remainder height of the taller building.

Step-by-step explanation:

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Solve by factorisation 2x^2+3x-20
olga2289 [7]

Answer:

(x + 4) × (2x - 5)

Step-by-step explanation:

  • Begin by writing 3x as a difference
  • 2x^2 + 8x - 5x - 20

  • Factor out 2x from the expression
  • 2x × (x + 4) - 5x - 20

  • Factor out -5 from the expression
  • 2x × (x + 4) - 5 (x + 4)

  • Factor out x + 4 from the expression
  • (x + 4) × (2x - 5)

Hope this helps!!

7 0
3 years ago
Read 2 more answers
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compareover the inte
Kobotan [32]

To check the decay rate, we need to check the variation in y-axis.

Since our interval is

-2We need to evaluate both function at those limits.At x = -2, we have a value of 4 for both of them, at x = 0 we have 1 for the exponential function and 0 to the quadratic function. Let's call the exponential f(x), and the quadratic g(x).[tex]\begin{gathered} f(-2)=g(-2)=4 \\ f(0)=1 \\ g(0)=0 \end{gathered}

To compare the decay rates we need to check the variation on the y-axis of both functions.

\begin{gathered} \Delta y_1=f(-2)-f(0)=4-1=3 \\ \Delta y_2=g(-2)-g(0)=4-0=4 \end{gathered}

Now, we calculate their ratio to find how they compare:

\frac{\Delta y_1}{\Delta y_2}=\frac{3}{4}

This tell us that the exponential function decays at three-fourths the rate of the quadratic function.

And this is the fourth option.

4 0
1 year ago
In how many map squares did we spot more than 29 plant species
Katena32 [7]

Answer:

10 map squares.

Step-by-step explanation:

We have been given a histogram, which represents the plant species spotted in the animal reserve.

The x-axis represents the number of plant species and y axis represents the number of map squares.

We can see that 0 to 9 species are spotted in 1 map square.

10 to 19 and 20 to 29 plant species are spotted in 2 map squares.

To find the number of map squares that spot more than 29 plant species, we will count number of map squares that spot 30 to 49 plant species as 30 to 49 numbers are more than 29.

We can see from our histogram that 4 map squares spot 30 to 39 plant species and 6 map squares spot 40 to 49 plant species.

\text{Total number of map squares that spot more than 29 plant species}=4+6

\text{Total number of map squares that spot more than 29 plant species}=10

Therefore, 10 map squares spot more than 29 plant species.

5 0
4 years ago
Read 2 more answers
ABCDEF is a regular hexagon. AJFGH is a regular pentagon
Ede4ka [16]
Please finish the sentence(s). This doesn’t have enough information. Have a good day
3 0
3 years ago
Match the expressions with the nonpermissible replacements for y
pantera1 [17]

<em>-7 _D_</em>

<em>\frac{3}{2} _A_</em>

<em>1 _C_</em>

<em>\frac{-1}{4} _B_</em>

<em>_A_ \frac{y^{2} -2y+1}{2y-3}</em>

<em>_B_ \frac{y(y+5)}{4y+1}</em>

<em>_C_ \frac{5y^{2}-6y+1 }{-5(y-1)}</em>

<em>_D_ \frac{y^{2}-y-6 }{-2(y+7)}</em>


3 0
3 years ago
Read 2 more answers
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