How many squares would have to be shaded so that 1/6 of the shape is shaded?
1 answer:
Answer:
3 squares
Step-by-step explanation:
The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.
The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).
Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares
Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded
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Answer:
Number of units of first product = 112
Number of units of second product = 400
Step-by-step explanation:
Given that there are two products which are to be shipped.
<em>First product details:</em>
Unit volume = 10 cu ft
Weight of one unit = 50 lb
<em>Second product details:</em>
Unit volume = 3 cu ft
Weight of one unit = 40 lb
Total volume that can be carried by a truck = 2320 cu ft
Total weight that can be carried by a truck = 21600 cu ft
To find:
The number of units of each product that can be transported in one shipment in the truck?
Solution:
Let number of units of first product =
Let number of units of second product =
We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.
As per question statement, the equations can be written as:
Multiplying equation (2) with 2 and subtracting equation (1) from it:
By equation (1):
Answer is:
Number of units of first product = 112
Number of units of second product = 400
Just to make sure we're using the same language, I'm going to use the function form of:
[] I would agree that k = 2, since the period is only half as long as a normal sine function. So, we so far, have y = A sin(2x) + h. We still need to find A and h.
[] The y-intercept is 3. Remember that the y-intercept happens when x = 0. So, plugging in x = 0 into our formula, we have: 3 = A sin(2*0) + h. In other words, 3 = A sin(0) + h = 0 + h = h. So, we now know that h = 3. The formula is now y = A sin(2x) + 3.
[] Finally, there is a single x-intercept. Picture what the sine function looks like right now, it is floating in the air around y = 3. We need to stretch it vertically until it just grazes the x-axis.
If A = 1, then our sine function bounces between 2 and 4 (+/- 1 around h = 3). But that doesn't touch 0, so no good.
If A = 2, then our sine function bounces between 1 and 5 (+/- 2 around h = 3). Again, not quite touching 0 yet.
The answer should be A = 3, then our sine function bounces between 0 and 6 (+/- 3 around h = 3).
The final formula is y = 3 sin(2x) + 3.
[] I would agree that k = 2, since the period is only half as long as a normal sine function. So, we so far, have y = A sin(2x) + h. We still need to find A and h.
[] The y-intercept is 3. Remember that the y-intercept happens when x = 0. So, plugging in x = 0 into our formula, we have: 3 = A sin(2*0) + h. In other words, 3 = A sin(0) + h = 0 + h = h. So, we now know that h = 3. The formula is now y = A sin(2x) + 3.
[] Finally, there is a single x-intercept. Picture what the sine function looks like right now, it is floating in the air around y = 3. We need to stretch it vertically until it just grazes the x-axis.
If A = 1, then our sine function bounces between 2 and 4 (+/- 1 around h = 3). But that doesn't touch 0, so no good.
If A = 2, then our sine function bounces between 1 and 5 (+/- 2 around h = 3). Again, not quite touching 0 yet.
The answer should be A = 3, then our sine function bounces between 0 and 6 (+/- 3 around h = 3).
The final formula is y = 3 sin(2x) + 3.
Answer:
Slope, m = 1100
y-intercept,c = 2491
Step-by-step explanation:
We are given the following in the question:
The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.
Comparing the above equation, to a general linear equation, we have,
where m is the slope and c is the y-intercept.
Comparing we get,
Slope, m = 1100
y-intercept,c = 2491
Interpretation:
- The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
- The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.