Step-by-step explanation:
You must write formulas regarding the volume and surface area of the given solids.
Solution:
At 5:30 PM the distance between the train will be 621 miles.
Explanation:
We have been given that one train goes north and other train gores south. It means they are moving in opposite direction.
When two body moving in opposite directions then the relative velocity is the sum of their individual velocities.
Therefore, the relative speed is given by
Now, the distance between the train is 621 miles. Hence, using the relation between speed, time and distance, we have
Thus, at 5:30 PM the distance between the train will be 621 miles.
Answer:
The answer is
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Step-by-step explanation:
To find the distance between two points we use the formula
<h3>
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where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-1, 4) and (1,-1)
The distance between them is
<h3>
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We have the final answer as
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Hope this helps you
The first choice, 80πx³+144πx²+84πx+16π is correct.
The formula for the volume of a cylinder is V = πr²h. Using the expressions we have for radius and volume, we have:
V = π(4x+2)²(5x+4)
= π(4x+2)(4x+2)(5x+4)
Multiplying the first two binomials, we have:
π(4x*4x+4x*2+2*4x+2*2)(5x+4)
= π(16x²+8x+8x+4)(5x+4)
= π(16x²+16x+4)(5x+4)
Multiplying by the last binomial, we have:
π(16x²*5x+16x*5x+4*5x+16x²*4+16x*4+4*4)
= π(80x³+80x²+20x+64x²+64x+16)
= π(80x³+144x²+84x+16)
= 80πx³+144πx²+84πx+16π
Answer:
A)
Step-by-step explanation:
The starting point to solve this, is to gather the concept of what a Rhombus is, an Equilateral Parallelogram, so let's examine the following options
A. All sides are of equal length. True
Considering the definition hence all sides have the same length.
B. <em>The Diagonals are of equal length</em> False. Since there is a bigger diagonal than the second Diagonal, we cannot assure they're of equal lengths.
Check the picture out below
C. <em>The opposite sides are of equal length and the diagonals are of equal length </em>False. Since those diagonals are different we cannot agree with the second part
D. <em>The opposite sides are parallel and the diagonals are of equal length</em> False Different length for each diagonal.