Answer: The length of the paper weight would be 6 cm.
Explanation: Since the object is a cube that means all sides are the same length so to solve you would do 3√216 and your answer would be 6.
A box plot contains 5 number summary. The information gathered from the box plot are:
1) minimum number
2) 1st quartile
3) median
4) 3rd quartile
5) maximum
Since the box plot of the collected data is not shown, I can only say that the maximum number will be affected by the error.
maximum number of 48 should have been maximum number 50.
Answer:
A Only (2, 3)
Step-by-step explanation:
The given equation is in point-slope form:
y -k = m(x -h) . . . . . a line with slope m through point (h, k)
The point in the given equation is ...
(h, k) = (2, 3)
so you know the equation is satisfied at that point.
__
When you try the other point, you find ...
For (x, y) = (3, 2), you have
2 -3 = 5(3 -2)
-1 = 5(1) . . . . FALSE
Point (3, 2) does not satisfy the equation.
Only (2, 3) is a solution of the equation
_____
Of course, the equation of a line is satisfied by an infinite number of points. Of the two listed here, only (2, 3) is a solution.
Answer:
c = 10 , d = 26
Step-by-step explanation:
In the rectangular prism, we know the fact that the three faces are mutually perpendicular to each other. So, it has a rectangular base.
Given, the length and breadth of the rectangle are 8 and 6 units, and the diagonal is c.
Since it is a rectangle, length , breadth and diagonal from a <em>right angled triangle.</em>
So we have, c² = 6² + 8² = 36 + 64 = 100
⇒ c = 10 units
For the side face:
Length = 24 units.
As we can see, the edge of the side face is perpendicular to the base of the prism. Which means, any line on the base of the prism is perpendicular to the 24units side edge.
So we can say that , the diagonal of the rectangular base of the prism (c) is perpendicular to the 24 units side face edge.
Hence, 24 , d and c (which is 10units) form a <em>right angled triangle</em>
<em> </em>From <em>pythagoras theorem:</em>
d² = 24² + 10² = 576 + 100 = 676
⇒ d = 26 units
