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kow [346]
3 years ago
10

FILL IN THE BLANKS PLEASE

Mathematics
2 answers:
kenny6666 [7]3 years ago
8 0
1)
M is (4x,2y) because KLMN is a parallelogram so that means that opposite sides are parallel. We know that parallel lines have the same slope. KN and LM are parallel so because they are opposite sides, so they must have the same slope. We can figure out the slope of KN by rise over run:
(0-0)/(3x-0)=0
Since the slope of KN is 0, then the slope of LM is 0
Thus if the line has a slope over 0, the y coordinate is constant, so the y coordinate of M is equal to the Y coordinate of L. I know this explanation is a bit overkill but it's very helpful for future parallelogram problems.
2,3,4)Note again that the area of a triangle is base*height/2
Now for triangle KMN, let's have KN be the base. The length of the base is 3x-0=3x(because line KN changes on the x coordinate only because the y coordinates are equal).
Now the height of the triangle is literally the y coordinate of M because if you draw a dotted line continuing KN to the right, you can draw a straight  perpendicular line into this dotted line and the legnth of the perpendicular line is the height, and the change in y. Thus we get 2y-0=2y
Since the area of a triangle is Base*Height/2, we get 3x*2y/2=3xy
5)Well the area of a triangle is Base*Height/2 and we are given both base and height so we can simply do 3x*2y/2=3xy
avanturin [10]3 years ago
3 0
Attached the solution in the boxes in order.

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Step-by-step explanation:

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8 0
3 years ago
A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder?
Setler79 [48]
First, you've got to figure out the value of the radius so divide the diameter by two. Then, you'll want to find the area of the base or pi times radius squared.
(3.14x3^2)x9=V
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7 0
3 years ago
The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law,
spayn [35]

Answer:

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

Step-by-step explanation:

Moore's law:

Moore's law states that the number of transistors per IC doubles every year.

Format of the function:

Following Moore's law, t years after our initial estimative, the number of transistors per IC will be given by:

N(t) = N(0)*2^t

In which N(0) is the initial estimate.

The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye).

This means that N(0) = 4000

So

N(t) = 4000*2^t

What would you predict the number of transistors per IC to be 20 years later, in 1992?

This is N(20). So

N(20) = 4000*2^20 = 4194304000

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

4 0
2 years ago
If log(a) = 1.2 and log(b)= 5.6, what is log(a/b)?
77julia77 [94]

Answer:

d. -4.4​

Step-by-step explanation:

We know that log (a/b) = log a - log b

Since log a = 1.2 and log b = 5.6 , we can substitute these values into the equation.

                        log (a/b)  =   1.2 - 5.6

                                       = -4.4

8 0
3 years ago
If a couple plans to have seven children, what is the probability that there will be at least one boy?
jolli1 [7]
1/2 chance of one baby being a boy
1/2*7
7:2 chance
8 0
3 years ago
Read 2 more answers
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