13
14
9
10
5
14
5
Zero
One
Infinitely many
The number of solutions of the equation is:
One.
We are asked to find the number of solutions of the equation:
3x+6= -1-3+4x
(
We know that a expression has a unique or one solution if it gives a single value of x after solving the expression.
and we obtain a no solution when the equation gives a false result i.e. the left and right hand side of equality are different.
and infinite many solution if the left and right hand side of equality is same but we can't get a fix value of x )
Now on solving the expression we have:
3x+6= -4+4x
i.e. 4x-3x=6+4
i.e. x=10
Hence, we get a unique value of x.
Hence, the equation has one solution.
Given that 1 km is equal to 100000 cm, the ratio of "1 cm represents 1 km" is identical to the ratio of "1:100000."
The ratio in the question has been adjusted from millimeters to centimeters and is presently being altered from centimeters to kilometers. In light of the fact that 1 centimeter is equal to 0.00001 kilometers, the original ratio of 1cm:1km can be restated as 1:100000. In other words, 1cm represents 1km is the same ratio as 1:100000. This is a demonstration of how units of measure can impact ratios and proportions in mathematics.
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B. 285 ft³
C. 4,840 ft³
D. 6,032 ft³
The volume of the cone is 4840 cubic ft if the diameter of the base is 34 feet and the height is 16 feet option (C) is correct.
It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
Volume can be defined as a three-dimensional space enclosed by an object or thing.
It is given that:
A pile of tailings from a gold dredge is in the shape of a cone.
The diameter of the base is 34 feet and the height is 16 feet.
As we know,
The volume of the cone is given by:
r = 34/2 = 17 ft
h = 16 feet
Plug the above values in the formula:
After solving:
V = 1541.33π cubic feet
Take π = 3.14
V = 1541.33(3.14) cubic feet
V = 4839.78 ≈ 4840 cubic ft
Thus, the volume of the cone is 4840 cubic ft if the diameter of the base is 34 feet and the height is 16 feet option (C) is correct.
Learn more about the cone here:
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Answer:
C:
Step-by-step explanation:
The formula for the volume of a cone is:
Therefore,
B) 1
C) 0.38
D) 1.38
Answer:
1.38
Step-by-step explanation: