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Anika [276]
3 years ago
12

You need to find the width of the stream. You cannot measure the width directly, so you draw a diagram showing lengths that you

can measure. Your diagram contains two similar triangles, one in the stream and one on land. Use the diagram to find the width of the stream.

Mathematics
2 answers:
sergejj [24]3 years ago
3 0
I believe it is a) 22.4 feet.  I looked at the comparison between the 6 feet and the width of the lake and a) seemed to make the most sense.
weeeeeb [17]3 years ago
3 0

You are given that the diagram contains two similar triangles.

Two similar triangles have proportional sizes of corresponding sides.

Then the ratio between smaller legs is the same as the ratio between greater legs:

\dfrac{x}{6}= \dfrac{28}{7.5},\\ \\x=\dfrac{28\cdot 6}{7.5}=22.4\ ft.

Answer: correct choice is A.

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Kamila [148]

Answer:

B 55

Step-by-step explanation:

not positive but if your in a crunch this is what seems right to me, i would wait for others answers tho

5 0
3 years ago
ADP and ABQ are tangents to the circle, centre O.
Anarel [89]

Answer:

Step-by-step explanation:

360

4 0
3 years ago
Please factor 5x^2-23x+12
STALIN [3.7K]

5x^2-23x+12

= 5x^2 - 20x - 3x +  12

= 5x(x - 4) - 3(x - 4)

= (5x - 3)(x - 4)

Hope that helps

3 0
3 years ago
An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places w
Rina8888 [55]

Answer:

a) The general solution   θ = nπ±π/6

The all solutions are  - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)   The solutions in the interval [ 0,2π)

                            θ =  - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

Step-by-step explanation:

<u><em>Step( i)</em></u>:-

Given an equation 2 cos (2θ)-1 =0

                               2 cos (2θ) = 1

                                cos(2θ) = 1/2

                                cos(2θ) = cos (π/3)

<em>Step(ii):-</em>

<em>a) </em>

The general solution of  cos θ = cos ∝ is given by

                                              θ = 2nπ±∝

The general solution of  cos(2θ) = cos (π/3) is

                                               2θ = 2nπ±π/3

                                                θ = nπ±π/6

Put n=0          θ =  ±π/6

Put n =1          θ = π±π/6

                       θ = π-π/6 = 5π/6

                        θ = π+π/6 = 7π/6

put n =2

                        θ = 2π±π/6  

                         θ = 2π-π/6 = 11π/6

                        θ = 2π+π/6 = 13π/6

   

The all solutions are  - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)

        The solutions in the interval [ 0,2π)

                            θ =  - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

<u><em>Final answer</em></u>:-

a)

The all solutions are  - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)

The solutions in the interval [ 0,2π)

                            θ =  - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

             

                                               

                                         

8 0
3 years ago
There are six apples, five oranges, and one pear in John's basket. ​ ​His friend takes three pieces of fruit at random without r
Lera25 [3.4K]

Answer:

<h2>There is a 9% of chances that all three selections are apples.</h2>

Step-by-step explanation:

We know that there are 6 apples, 5 oranges and 1 pear, which gives a total of 12 fruits, that's total number of possible outcomes, the denominator of the simple probability.

Now, his friend selects three fruits with three trials without replacement, that means we need to find the probability of each even and then multiply them, because they are independent events.

P=\frac{6}{12} \times \frac{5}{11} \times \frac{4}{10}=\frac{120}{1320} \approx 0.09

Notice that we calculated the total probability using the same expression. The important thing is that you need to decrease the number of events and the total number of outcomes at each selection, because after his friends picks one apple, he doesn't put it back in the bag.

Therefore, there is a 9% of chances that all three selections are apples.

(We multiplies the number by 100 to express it in percentage)

4 0
3 years ago
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