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Ivan
3 years ago
7

3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the

Mathematics
1 answer:
sineoko [7]3 years ago
8 0

Answer:

h= 1500\,*\,sin(43^o)

Step-by-step explanation:

Notice that there is a right angle triangle formed with sides as follows:

hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:

sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)

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Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|.
Sergio039 [100]

Answer: Ix+10I

Step-by-step explanation: To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).

So,

g(x) = |x|

g(x+10) = |x+10| ... every x has been replaced with x+10

h(x) = g(x+10)

h(x) = |x+10|

We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.

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3 years ago
5(8k + 9m) simplified expression
Firdavs [7]

Answer:

40k+45m

Step-by-step explanation:

5(8k)=40k + 5(9m)= 45m

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3 years ago
B/5&gt;-1<br> Solve the inequality. Graph and check the solution.
Usimov [2.4K]

Answer:

b>-5

Step-by-step explanation:

\frac{b}{5}   >  - 1

Multiply by 5 to isolate b.

b  >  - 5

If you graph this on a line, it would be a hollow point facing the right, since it's any number greater than five, not including 5.

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3 years ago
The sum of two numbers is 21 the second number is 6 times the first number of
romanna [79]

the numbers are 3 and 18

let the first number be n then the second number = 6n and the sum

sum = n + 6n = 21 thus

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8 0
3 years ago
Read 2 more answers
In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?
KonstantinChe [14]

Answer:

77.12 feets

Step-by-step explanation:

In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?

Step one:

given data

Length of the room= 33 feets

width of the room = 69.7 feets

Required

The diagonal of the room

Step two:

from Pythagoras theorem

z^2= x^2+y^2

substitute

z^2= 33^2+ 69.7^2

z^2=1089+4858.09

z^2=5947.09

z=√5947.09

z=77.12 feets

8 0
3 years ago
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