V of rectangular prism = l * w * h = 12 * 2 * 312 = 7,488 in³
V of one cube with side lengths 12 = l * w * h = 12 * 12 * 12 = 1,728 in³
Divide the volume of rectangular prism by the volume of the cube.
7488 / 1728 = 13 / 3 or 4.3. . .
60 movies ------ 100%
9 movies -------- x%
__________________
60*x=9*100%
60x=900% |:60
x=15%
The answer is 15%
:)
Answer:
cosФ = 
, sinФ = 
, tanФ = -8, secФ = 
, cscФ = 
, cotФ = 
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =
- sinФ =
- tanФ =
- secФ =
- cscФ =
- cotФ =
- Where r =
(the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r =
∵ x = 1 and y = -8
∴ r = 
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ =
∴ cosФ =
∵ sinФ =
∴ sinФ =
∵ tanФ =
∴ tanФ = 
= -8
∵ secФ =
∴ secФ = 
=
∵ cscФ =
∴ cscФ =
∵ cotФ =
∴ cotФ =
Answer:
x=−18
Step-by-step explanation:
Let's solve your equation step-by-step.
x
3
+4=−2
Step 1: Simplify both sides of the equation.
1
3
x+4=−2
Step 2: Subtract 4 from both sides.
1
3
x+4−4=−2−4
1
3
x=−6
Step 3: Multiply both sides by 3.
3*(
1
3
x)=(3)*(−6)
x=−18
Answer:
126 parts in 9 and a half hours
Step-by-step explanation:
56 parts in 4 hours
that means 56 parts in 240 mins
9 hours and 30 minutes in minutes is 570 minutes
56m parts:240 mins
540 mins
to get to 540 from 240, you multiply by 2.25.
you can work this out by doing 540 divided by 240
now, multiply 56 by 2.25.
the answer is 126 parts
