<u>Given</u>:
Given that Corey is flying a kite with 105 meters of string.
The string makes an angle of 42° with the ground level.
We need to determine the height of the kite.
<u>Height of the kite:
</u>
The height of the kite can be determined using the trigonometric ratio.
Thus, we have;

From the given data, the values are
, opp = h (height of the kite) and hyp = 105 meters.
Substituting the values, we get;

Multiplying both sides of the equation by 105, we get;



Rounding off to the nearest meter, we get;

Thus, the height of the kite is 70 meters.
Answer: x= -1
Step-by-step explanation:
First you take 4 and times it to x and -1, so 4 times x will just be 4x while 4 times -1 will be -4. Then it will look like this (4x - 4), you will have to make the x by itself and to do that is dividing it by 4 on both sides, so 4x/4= x while -4/4= -1. The answer is x= -1
Answer:Let =tan2
t
=
tan
x
2
, then cos=1−21+2
cos
x
=
1
−
t
2
1
+
t
2
and tan=21−2
tan
x
=
2
t
1
−
t
2
.
Now
1+21−2+21−2(1+)21−21+1−tan2
Step-by-step explanation:
Answer:
7 books
Step-by-step explanation:
make an equation
x = # of books each book is $4 so its 4x
the shipping fee no matter how many books he buys will be $2 so it's just 2
the equation looks like this:
4x + 2 = 30
we set equal to 30 cuz he can't spend more than $30
solve for x
4x = 30 -2
4x = 28
x = 7
Brett can buy no more than 7 books.
There are 64 people in the room.
Since the ratio for women increases 1 when 8 women enter the room, for every time there is 1 in the ratio there are 8 people. That means that originally you have to do 3x8 and 4x8. You get 24 and 32 which equals 56. Then when 8 more women enter the room, you get 64.