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torisob [31]
2 years ago
7

The length of a string between a kite and a point on the ground is 90 m. If

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
8 0

Answer:

79.4 m

Step-by-step explanation:

In this problem we deal with a right triangle with hypotenuse 90 m.  We are told that tan Ф = 15/8; 15 represents the vertical distance of the kite off the ground and 8 represents the horizontal distance from the kite flyer to the kite.  This is sufficient info from which to determine the angle of elevation from kite flyer to kite:  tan Ф = 15/8 yields Ф =  1.08 radians.

Using this same angle Ф = 1.08 radians, sin Ф = (vertical distance) / hypotenuse = sin 1.08 rad = 0.882.

Then the vertical distance (height of the kite) is

(90 m)(0.882) = 79.4 m

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3 years ago
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A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.
Lelechka [254]

Answer: Second option.

Step-by-step explanation:

You need to use the following formula:

V=\frac{1}{3}Bh

Where "B" is the area of its base and "h" is the height.

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Therefore, knowing this values, you can substitute them into the formula shown before and then evaluate, in order to calculate the volume of thi right pyramid whose base is a regular hexagon.

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2sin^2x - sinx - 3 = 0
e-lub [12.9K]
We have that
2sin²<span>x - sinx - 3 = 0
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Let
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using a graph tool-----> to resolve the second order equation
see the attached figure

the solutions are
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Kale can typed 165 words in 3 minutes. How can this ratio be written to show words per minute?
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3 years ago
Please no wrong answers <br>what to do next??​
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Step-by-step explanation:

I am not sure what you want to calculate as ultimate goal.

but your have an error already in your third line in the picture.

(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)

you had there a "+" instead of a "-".

and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.

= 3×2 - 3×4i - 6i×2 + 6i×4i =

= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18

then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.

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is that what you wanted to show ?

7 0
2 years ago
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