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klio [65]
3 years ago
8

the angle of elevation from the tip of the shadow to the top of the tree is 36 degrees. find the distance from the top of the tr

ee to the tip of the shadow. round the answer to the nearest tenth.
Mathematics
2 answers:
Bas_tet [7]3 years ago
7 0
In order to fully understand the problem, it is best to sketch it. Sketching the system, we will see that the system forms a triangle where the angle of elevation is 36 degrees. We are asked to find the hypotenuse. We can use a trigonometric function. It should be noted that one of the sides should also be given in order to calculate the hypotenuse. Trigonometric functions that can be used are:

sin(theta) = opposite / hypotenuse
cos(theta) = adjacent / hypotenuse
Ludmilka [50]3 years ago
4 0
The distance from the top of the tree to the shadow is 40.8 ft.

From the given figure:

cos theta = adjacent/hypotenuse
cos 36= 33/H 
H=33/cos 6= 40.8 ft
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KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

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N(x)= -x^3+45x^2+1000

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Again differentiating with respect to x

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N''(30)=-6.30+90=-90

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

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5 0
3 years ago
Four diners have ordered a platter of desserts. The platter holds 8 chocolate chip cookies and 4 slices of chocolate cheesecake.
Furkat [3]

Answer:

P(Y>1 \cap Y

And we can find this probability like this:

P(Y>1 \cap Y

And we can replace the values and we got:

P(Y>1 \cap Y

Step-by-step explanation:

For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:

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P(Y) | 0.005  0.114  0.429  0.381  0.071

And we want to find the following probability:

P(Y>1 \cap Y

And we can find this probability like this:

P(Y>1 \cap Y

And we can replace the values and we got:

P(Y>1 \cap Y

3 0
3 years ago
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