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Juliette [100K]
2 years ago
15

Help on this one please

Mathematics
1 answer:
kvv77 [185]2 years ago
6 0

Answer:

d ≈ 1732 ft

Step-by-step explanation:

Angle of elevation = Angle of depression

Following this truth,

m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°

By applying tangent rule in the given triangle ABP,

tan(30°) = \frac{AB}{PB}

\frac{1}{\sqrt{3}}=\frac{1000}{d}

d = 1000√3

d = 1732.05

d ≈ 1732 ft

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katovenus [111]

Answer:  see below

<u>Step-by-step explanation:</u>

17) 5n - 3 > -2n + 4     and    9 - 4n ≥ -2n + 1

   <u> +2n   </u>    <u> +2n      </u>              <u>    +2n </u>   <u>+2n      </u>

   7n - 3   >     4                    9 - 2n  ≥       1

        +3         +3                  -9                 -9

    7n       >      7                       -2n   ≥     -8

  <u> ÷7     </u>    <u>     ÷7  </u>                   <u> ÷ -2 </u>  ↓  <u> ÷ -2 </u>

          n  >     1         and            n   ≤   4                  

Graph:   o----------------- ·

              1                     4

18) 9k - 2 ≤ 9 + 10k < 9 - 4k

     9k - 2 ≤ 9 + 10k      and     9 + 10k < 9 - 4k

  <u> -10k     </u>    <u>     -10k </u>               <u>       +4k </u>   <u>    +4k  </u>

     -k - 2 ≤ 9                             9 + 14k < 9

   <u>      +2</u>   <u>+2         </u>                 <u> -9          </u>  <u>-9         </u>

     -k      ≤  11                                  14k  <  0

 <u> ÷ -1    </u>   ↓<u> ÷ -1  </u>                      <u>       ÷14 </u>    <u>÷14      </u>

          k  ≥ -11                and               k < 0

Graph:    · -----------------o

              -11                  0    

19) 4 - n ≤ 10 + 5n ≤ 6n + 1

     4 - n ≤ 10 + 5n       and     10 + 5n ≤  6n + 1

   <u>    -5n </u>   <u>      -5n  </u>                 <u>      -6n </u>   <u>-6n     </u>

   4 - 6n ≤ 10                           10  -  n  ≤       1    

  <u>-4        </u>  <u> -4            </u>              <u> -10        </u>    <u>  -10  </u>

        -6n ≤ 6                                    -n ≤   -9

   <u>  ÷ -6   </u>↓ <u>÷ -6     </u>                    <u>    ÷ -1 </u>↓<u> ÷ -1    </u>

           n ≥ -1              and                 n ≥ 9

Graph:    · -----------------→

              -9                  

20) 4p - 5 ≤ 2p + 9 ≤ 4p + 7

     4p - 5 ≤ 2p + 9     and     2p + 9 ≤ 4p + 7

  <u> -2p       </u>   <u>-2p    </u>                 <u> -4p    </u>   <u>-4p      </u>

    2p - 5 ≤         9                -2p + 9  ≤        7    

    <u>      +5   </u>  <u>    +5    </u>             <u>        -9  </u>    <u>     -9  </u>

       2p  ≤       14                   -2p       ≤      -2

   <u>  ÷ 2   </u>   <u>    ÷ 2     </u>               <u>÷ -2    </u> ↓<u>    ÷ -2    </u>

         p ≤       7          and         p    ≥      1

Graph:    · ----------------- ·

              1                    7

6 0
3 years ago
−5/9x+3.2=5 please help !!!
Lemur [1.5K]
The answer is -3.24
7 0
2 years ago
Read 2 more answers
How many terms are in (3x^2-3)(3x^2+3)
Marta_Voda [28]

The number of terms in the expression given is; 2.

<h3>How many term are in the expression given?</h3>

It follows from the task content that the expression given is; (3x^2-3)(3x^2+3).

It therefore follows the converse of law regarding difference of two squares that the expression given can be rewritten as;

= 9x⁴ -9

Read more on difference of two squares;

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7 0
2 years ago
1 Katherine can run the perimeter of Kiker Park in
Vlad1618 [11]

The according to the perimeter, Parker takes 5 second longer than the Marin to run the perimeter.

According to the statement

We have to find that the comparison of the running time of the parker.

So, For this purpose, we know that the

Perimeter is the distance around the edge of a shape.

From the given information:

Katherine can run the perimeter of Kiker Park in 5.0 minutes and It takes Marin 1.45 minutes longer.

Marin takes 6.45 minutes and the Parker can run the perimeter of the park in 6.50 minutes.

Then from the statement it is clear that the

Time taken by Katherine = 5.0 minutes

Time taken by Parker = 6.50 minutes

Time taken by Marin = 5.0 minutes + 1.45 minutes

Time taken by Marin = 6.45 minutes.

from the timing we can say that the Marin's running time to Parker's running time is compared and the Parker takes 5 seconds more than the Marin.

So, The according to the perimeter, Parker takes 5 second longer than the Marin to run the perimeter.

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5 0
1 year ago
Currently, the sum of the ages of Yumi, Rana and Victoria is 42 years. Four years ago, the sum of the ages of Rana and Victoria
Setler [38]
Y + R + V = 42
but 4 YEARS AGO : (R-4) +(V-4) = Y

Replace Y in the 1st equation by:  (R-4) +(V-4)

(R-4) +(V-4) + R + V = 42

2R - 2V - 8 = 42;  2R -2V  = 50, or R+V=25
IF R+V =25 AND Y + R +V = 42, then Y + 25 = 42 and Y =17

7 0
2 years ago
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