Direct variation is of the form: y=kx (inverse variation is of the form y=k/x)
Assuming that k is positive :)
y increases as x increases and y decreases as x decreases. There is a direct ratio that is described by k. k=y/x.
Answer:
Divide 12 by 4 first to figure out how many gallons are in each 1/4 of the tank.
12/4=3
So if I added another 1/4 to the capacity:
It could hold 15 gallons.
All you have to do to find how many half bottles can be filled is to times 15 by two since we are filling half gallon bottles.
15x2=30
30 bottles.
Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.
in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1
in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
sin24*BD-sin16*BD=sin16*7600----> BD=[sin16*7600]/[sin24-sin16]
BD=15979 ft
in the triangle BCD
cos24=BD/BC---------> BC=BD/cos24-------> 15979/cos24-------> 17491
BC=17491 ft
the answer part 1) BC is 17491 ft
Part 2) Find CD, the height of the plane from the ground, to the nearest foot.
CD=sin24*BD ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft
the answer part 2) CD is 6499 ft
Hi there!
We can find the perimeter of a rectangle by using the following formula:
perimeter = 2 × width + 2 × length
In the question, we are given the following data: the length of the rectangle is 12 in and the perimeter is 56. Let's substitute this into our formula!
56 = 2 × width + 2 × 12
Multiply first.
56 = 2 × width + 24
Now subtract 24 from both sides.
32 = 2 × width
And finally, to find the width of the rectangle, divide both sides of the equation by 2.
16 = width
(we can eventually switch sides in the equation).
width = 16
~ Hope this helps you!
