Four milliliters of ink A is added to 10 milliliters of ink B, forming a mixture of inks. Ink A contains 10% blue pigment. Ink B
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Answer: 125.80 ft
Step-by-step explanation:
Asuming the described situation is as shown in the figure below, we need to find the distance between the kite and Jacks house, but first we need to find the
,
and then
.
How?
We will use trigonometry, especifically the trigonometric functions sine and cosine:
For :
(1)
Where is the opposite side to the angle and
the hypotenuse.
Isolating :
(2)
For :
(3)
Where is the adjacent side to the angle.
Isolating :
(4)
Finding :
(5)
(6)
Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house and the sides are the values calculated in (4) and (6).
So, in this case we will use the <u>Pithagorean theorem</u>:
(7)
Isolating and writing with the known values:
(8)
(9)
This is the distance between the kite and the house
So 15% is out of 100%, and the cab company has sent 30 cabs out of x?(x is the total number of cabs). 
So, by setting up that data we already know, we can make this equation to figure out how many cabs total the company actually has:
<span>15x = 100 * 30
</span>
We do the multiplication on the right side
15x = 3000
And divide to isolate the "X" variable
x = 200
So, the cab company has 200 cabs total, and they sent out 30 of them.
So, by setting up that data we already know, we can make this equation to figure out how many cabs total the company actually has:
<span>15x = 100 * 30
</span>
We do the multiplication on the right side
15x = 3000
And divide to isolate the "X" variable
x = 200
So, the cab company has 200 cabs total, and they sent out 30 of them.