Answer:
= 8
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 8
Hope it helps!
The volume of a rectangular prism is (length) x (width) x (height).
The volume of the big one is (2.25) x (1.5) x (1.5) = <em>5.0625 cubic inches</em>.
The volume of the little one is (0.25)x(0.25)x(0.25)= 0.015625 cubic inch
The number of little ones needed to fill the big one is
(Volume of the big one) divided by (volume of the little one) .
5.0625 / 0.015625 = <em>324 tiny cubies</em>
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Doing it with fractions instead of decimals:
The volume of a rectangular prism is (length) x (width) x (height).
Dimensions of the big one are:
2-1/4 = 9/4
1-1/2 = 3/2
1-1/2 = 3/2
Volume = (9/4) x (3/2) x (3/2) =
(9 x 3 x 3) / (4 x 2 x 2) =
81 / 16 cubic inches.
As a mixed number: 81/16 = <em>5-1/16 cubic inches</em>
Volume of the tiny cubie = (1/4) x (1/4) x (1/4) = 1/64 cubic inch.
The number of little ones needed to fill the big one is
(Volume of the big one) divided by (volume of the little one) .
(81/16) divided by (1/64) =
(81/16) times (64/1) =
5,184/16 = <em>324 tiny cubies</em>.
Answer:
C. 10
Step-by-step explanation:
We are given a graph representing the height of the elevator with respect to time.
Since, we know that,
X-axis represents the 'time' in seconds and y-axis represents the 'height of the elevator' in feet.
As, the coordinate points on the graph are given by,
(1,10), (2,20), (3,30) and (4,40).
So, the rate of change can be found out by solving,
.
Hence, the rate of change of the relationship is 10.
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Given:
In triangle ABC,
.
To find:
The angle of depression from point A to point C.
Solution:
According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,





We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.
Therefore, the angle of depression is 24 degrees.