Answer:
1. no solutions
2. one solution
Step-by-step explanation:
1. -4(5-3x)=12x+20
-20+12x=12x+20
-40+12x=12x
-40=0?????
So no solutions.
2. 3x+7(x+1)=2(6x+5)+2
3x+7x+7=12x+10+2
10x+7=12x+12
-2x+7=12
-2x=5
x=-5/2
So one solution.
The volume of cone B will be 6 cubic units.
<h3>What is the volume of the cone?</h3>
Let h be the height of the cone and A be the base area of the cone.
Then the volume of the cone will be
Volume = (1/3) × A × h
Consider cone A and cone B.
The bases of the cones are congruent.
The height of cone A is 4 times larger than the height of cone B.

The volume of cone A is 24.
24 = (1/3) Ahₐ
Then the volume of the cone B will be

Simplify the expression, then the volume will be
V = 1/4 x (1/3)Ahₐ
V = 1/4 x 24
V = 6 cubic units
The volume of cone B will be 6 cubic units.
More about the volume of the cone link is given below.
brainly.com/question/1984638
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Answer:
83.3
Step-by-step explanation:
∠D= 87°, ∠E = 50°
Sum of three angles in a triangle is 180°
∠F = 180 - (∠D + ∠E)
∠F = 180 - (87 + 50)
∠F = 180 - 137
∠F = 43°
Side opposite to greatest angle is the longest side.
Among angle D, E and F, angle D is the greatest angle
So side opposite to angle D is the longest side which is EF
Option B is the answer
Answer:
He would need
cups of grapes