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amid [387]
1 year ago
7

A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36and the distance from the boat to the

point where the kite is directly overhead is 40 feet, how high is
the kite?

Mathematics
1 answer:
Nonamiya [84]1 year ago
7 0

Answer:

Height of the kite from the ground is 29.2 feet.

Step-by-step explanation:

For better explanation of the solution, see the figure attached :

The angle formed by the height of kite to that of the surface of the ground is right angle.

⇒ m∠ABC = 90°

Let angle of elevation be θ

Now, to find height of the kite : find length of AB

In right angled triangle ABC , using tan rule, we have\tan\theta=\frac{Perpendicular}{Base}\\\\\tan36^{\circ}=\frac{AB}{BC}\\\\\implies \tan36^{\circ}=\frac{AB}{40}\\\\\implies AB=0.73\times 40\\\\\bf\implies AB=29.2\thinspace{ feet}

Hence, Height of the kite from the ground is 29.2 feet.

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Answer:

The amount of stock for which both brokers would charge the same commission is $2500.

Step-by-step explanation:

i) Let the amount of stock to be traded be worth $x

ii) therefore for both the brokers to charge the same commission we can write

   1% of x  = $25 \RIghtarrow\Rightarrow  0.01 \times x  = 25  \therefore   x = \frac{25}{0.01}  = 2500

The amount of stock for which both brokers would charge the same commission is $2500.

5 0
1 year ago
Dying for help please failing mathh
JulsSmile [24]
You might want to stick to at most five questions at once, makes it easier for the rest of us. :)

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21. Every dilation has a center (where it's dilated from) and a scale factor (how much it's dilated).
22. It must be A, because it's the only one where the number of moves adds up to 16.
23. It can be determined to be B just by tracking where point C would end up through the transformation.
24. A 180° rotation flips the signs on both components to give you (-1, 6).
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26. This is a reflection.

Need clarification on anything?
4 0
2 years ago
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On a vacation in Puerto Rico, Rose jumped off a cliff into a river in EL Yunque Forest Reserve. Her height as a function of time
balandron [24]
H (t) = - 16t ^ 2 + 16t + 480
 For this case, the first thing to do is to match the polynomial to zero to find the roots.
 We have then:
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 From here, we obtain the following roots of the polynomial:
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4 0
1 year ago
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Gina is buying bags of apples at the grocery store. Each bag of apples has five apples in it. Which equation shows the relations
Nadya [2.5K]

Answer:

y=5x

Step-by-step explanation:

Given no of bags is x

No of apples in each bag is 5

Thus no of apples in x bags can be obtained by multiplying no of bags(x in this case)   with No of apples in each bag  (5 in this case).

Total no of apples in x bag = 5*x = 5x

As y represent relationship between number of apples and bag. 5x will be equal to y.

it can be represented as y = 5x

Thus equation A y=5x   shows the relationship between the number of apples, y, and the number of bags, x

6 0
2 years ago
Use the binomial theorem to find the coefficient of xayb in the expansion of (5x2 + 2y3)6, where a) a = 6, b = 9. b) a = 2, b = 15.
goldfiish [28.3K]

Answer:

Step-by-step explanation:

                    1

                1      1

            1      2      1

         1     3      3      1

      1    4     6       4       1

   1   5    10     10       5     1

 1    6   15   20      15    6     1

1    6   15   20      15    6     1

we use these for the expansion of (5x² + 2y³)⁶

1(5x²)⁶(2y³)⁰ + 6(5x²)⁵(2y³)¹ + 15(5x²)⁴(2y³)² + 20(5x²)³(2y³)³+  15(5x²)²(2y³)⁴+ 6(5x²)¹(2y³)⁵ + 1(5x²)⁰(2y³)⁶

78125ₓ¹²+187500ₓ¹⁰ y³ +37500ₓ⁸y⁶+20000ₓ⁶y⁹+6000x⁴y¹²+960x²y¹⁵+2y¹⁸

a.)a = 6, b = 9. the coefficient of xᵃyᵇ ( 20000ₓ⁶y⁹) = 20000

b) a = 2, b = 15. the coefficient of xᵃyᵇ ( 960x²y¹⁵) = 960

c) a = 3, b = 12. the coefficient of xᵃyᵇ is not present

d) a = 12, b = 0 the coefficient of xᵃyᵇ ( 78125ₓ¹²)  = 78125

e) a = 8, b = 9. the coefficient of xᵃyᵇ is not present

7 0
2 years ago
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