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maxonik [38]
3 years ago
7

I need help with the first two

Mathematics
1 answer:
mel-nik [20]3 years ago
6 0
The work and answer provided are correct, the simpler way of doing it is

1)
1/6 page written in 1/12 of a minute
to write a full page, you would need to write 1/6, 6 times
so,
\frac{1}{6} \time 6 = 1
and
\frac{1}{12} \times 6 = \frac{6}{12} = \frac{1}{2}

so it takes 1/2 of a minute to write a full page, there are 60 seconds in a minute, 1/2 of 60 seconds is 30 seconds

same process works for question 2(use 3 instead of 6 though)
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A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
lina2011 [118]
The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S.  Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3  given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.


5 0
3 years ago
Find the value of x.
nekit [7.7K]

Answer:

B

Step-by-step explanation:

Since this right angled triangle has two angles of 45, so according to theorem sides opposite to equal angles are equal

Applying Pythagoras theorem

(4√2)^2=(x)^2+(x)^2

32=x^2+x^2

32=2x^2

x^2=32/2

x^2=16

Taking sq root on both sides we get

x=4

8 0
3 years ago
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KATRIN_1 [288]

Answer:

0 hope it helps ok bye have a good grade

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Step-by-step explanation:

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