2) 200 mL
3) 0.2 kg
Step-by-step explanation:
2)
In this problem, we know that:
- With 1 liter of juice, we can fill a total of 5 cups
So we know that the total volume of 5 cups is equal to
V = 1 L
This means that the volume of each cup is equal to the total volume divided by the number of cups (5), therefore:

And keeping in mind the equivalence between liters and milliliters:
1 L = 1000 mL
This means that the capacity of each cup is

3)
Here we want to find the mass contained in each cup.
We know that the mass of a substance is related to each volume by the equation

where
d is the density
m is the mass
V is the volume
In this problem, we have:
V = 0.2 L is the volume of juice in each cup
is the density of juice (assuming it is the same as the density of water)
So, the mass of juice in one cup is:

Answer:
8.4 in
Step-by-step explanation:
Solution:-
- We consider the large right angle triangle namely, " XVW "
- We will recall all the trigonometric ratios that are applicable to all right angled triangles.
- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:
Hypotenuse ( H ): Side opposite to 90 degrees angle
Base (B): The side adjacent to the available angle ( θ )
Perpendicular (P): The side opposite to the available angle ( θ )
- We will go ahead and mark our respective sides as follows:
Angle ( θ ) : 34°
Hypotenuse ( H ) : XW = 15 in
Base ( B ) : VW
Perpendicular ( P ) : VX
- Now recall all the trigonometric ratios studied:
sin ( θ ) = P / H = VX / XW
cos ( θ ) = B / H = VW / XW
tan ( θ ) = P / B = VX / VW
- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:
sin ( θ ) = P / H = VX / XW
sin ( 34° ) = VX / 15
VX = 15*sin ( 34° )
VX = 8.387 .. ( 8.4 ) in
Answer:
in this question is hard to identify the value of x when it is not equated to a number so hey you'll just have to add to get 7 x