A cuboid has 3 different sized faces. The areas of 2 of the faces are 84cm2and 56cm2. The volume of the cuboid is 672cm3. Find the length, width and height of the cuboid and the area of the third face.
Answers
Answer:
Length: 12 cm
Width: 8 cm
Height; 7 cm
Step-by-step explanation:
We are told that the areas of 2 of the faces are 84cm² and 56cm².
Now, the side faces are 4 in total with 2 each having same areas.
Thus, it means they would have the same height.
Let's find the highest common factor between 84cm² and 56cm².
The highest number that can be divide each equally is 7.
Thus;
12 × 7 = 84 cm²
8 × 7 = 56 cm²
This means, the bottom part will measure 12 cm by 8 cm.
Thus, the complete measurement is;
Length: 12 cm
Width: 8 cm
Height; 7 cm
Let's check if it will give us a Volume equal to that given.
Thus;
Volume = 12 × 8 × 7 = 672 cm²
This is same as that given and so our dimensions are correct.
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A student bought 1 box of crayons and 5 reams of paper for $54. She bought 5 boxes of crayons and 3 reams of paper $50. what is the cost of each box of crayons and each ream of paper?
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C. write in words what the y-intercept of the graph means in context.
D. write in words what the graph of the line is showing.
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Final answer:
The graph has a positive slope, is non-proportional, and has a y-intercept of 2. The slope represents the rate of change between the x and y variables. The y-intercept represents the value of y when x is 0. The graph shows a relationship where y increases by a constant rate of 3 for every one unit increase in x.
Explanation:
A. The graph has a positive slope. It is non-proportional as the points do not lie on a straight line. The y-intercept is 2.
B. The slope of the graph represents the rate of change between the x and y variables. In context, it means that for every unit increase in x, y increases by 3 units.
C. The y-intercept of the graph represents the value of y when x is 0. In context, it means that when x is 0, y is equal to 2.
D. The graph of the line is showing a relationship between x and y variables, where y increases by a constant rate of 3 for every one unit increase in x, starting from a y-value of 2 when x is 0.
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Final answer:
In a graph, the slope describes the rate of change, and the y-intercept is where the line intersects the y-axis. A positive pitch rises from left to right, while a negative one falls. A proportional graph reflects a constant rate of change, while a non-proportional one shows a non-constant rate of change.
Explanation:
We need to know the specifics of the graph to explain the components you've asked about. A positive slope on a chart is represented by a line that rises from left to right, while a negative slope descends from left to right. The value of the pitch can be determined by the rise over run (change in y / change in x).
A graph is proportionalif the line passes through the origin (0,0) and has a constant slope. If it doesn't, it's considered non-proportional, meaning the change rate is unstable.
The y-intercept is the point where the line intersects with the y-axis. In the context of an equation, it's the value of 'y' when 'x' equals zero.
A graph's slope depicts the change rate between the two variables. The y-intercept typically represents the starting value or the value of 'y' when 'x' has yet to apply. Finally, the overall graph of a line shows the relationship between two variables, represented in a way that changes in one variable correspond with a change in another.
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Answers
Answer:
10,070 and 10,047 pieces respectively
Step-by-step explanation:
In this question, we have 2 questions to answer.
Firstly, we are told that Jimmy has 530 pieces of paper and kit comes along to give him 18 times as much, we need to know how much he has now.
Since he was given 18 times as much, the amount given would be 18 * 530 = 9,540
The amount he has now would be 9,540 + 530 = 10,070 paper pieces
Secondly, Kim comes along to take 23 pieces away, we need to know how much pieces he has now. What to do is simply to
Subtract 23 from the previous pieces = 10,070 - 23 = 10,047 pieces of paper
Answers
try to isolae the variable then find 1 of it
50=7x-6
add 6 to both sides
56=7x
divide both sides by 7
x=8
"Roger that, Bravo Team."
.
MISSION OVERVIEW: Isolate the x!!
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Mission #1: Add 6 on both sides.
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50+6=7x-6+6
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56=7x
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Mission #2: Divide by 7 on both sides.
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56 / 7 = 7x / 7
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x = 8.
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MISSION COMPLETE!!
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Hope this helped!
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Answer:
jhvb
Step-by-step explanation:
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