The amount of liters is 200,if the orange juice is x than grape juice. 200-x
45x+35(200-x)=200*40
45x+7000-35x=8000
10x=1000
x=100
Answer:
54.5°
Step-by-step explanation:
You know that in a right triangle, the sine of an angle is given by ...
Sin = Opposite/Hypotenuse
sin(D) = EF/ED = 57/70
The inverse sine function is used to find the angle:
∠D = arcsin(57/70)
∠D ≈ 54.5°
Answer:
C
Step-by-step explanation:
Answer: x = 31
Step-By-Step:
<u>To Find x:</u>
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(Angle Sum Property Of Triangles)
(Remove the brackets)
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<u />
(Group Accordingly)
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= 
= 
= 
= 
= 
= 
<u>Therefore</u> x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57
The statement "unit cubes with side lengths of 1/2 foot are added to fill the prism with no space remaining" is useless information so you can disregard that. All you need to know to calculate the volume is the length, width, and height.
Volume = length x width x height
Volume = (5/2) x 3 x 11/2
Volume = 15/2 x 11/2
Volume = 165/4
Volume = 41.25 ft cubed
