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nexus9112 [7]
3 years ago
10

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagon

al. Which measurement is closest to the length of the diagonal in inches? A) 6.24 in. B) 19.5 in. C) 6.98 in. D) 13.9 in.
Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

D) 13.9 in

Step-by-step explanation:

The diagonal of a rectangle is longer than the longest side. It will never be more than 42% of the shortest side longer than the longest side.

Here, the longest side is 11 inches. 42% of the shortest side is about 3.6 inches, so the diagonal length will be between 11 and 14.6 inches. Only one answer choice is in that range: 13.9 in.

Of course, the length of the diagonal can be figured to any desired accuracy using the Pythagorean theorem.

... √(8.5² +11²) = √193.25 ≈ 13.9014 . . . . inches

_____

<em>Comment on the solution</em>

For this multiple-choice problem, it is sufficient to estimate the length of the diagonal. The estimate we suggested was to add 0.42 times the short side to the long side.

An even closer estimate can be had by multiplying that value (.42×short side) by the ratio of the short to long sides prior to adding it to the long side. This will get you within 1.5% of the correct value without the need for a square root.

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A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.
prohojiy [21]

Answer: the answer is 150 :)

Step-by-step explanation: Volume of a cone is

V = 1/3 pi * r^2 *h

The volume of one cone is

pi = 3.14

r = d/2 = 6/2 =3

h=9

Substitute what we know

V = 1/3 * (3.14) * (3^2) * (9)

  = 27* 3.14

  = 84.78  cm^3

The water cooler has 12717 cm^3 water

Divide the water by the volume of the paper cup cone  and we will know how many paper cup cones we can fill, assuming we fill them completely.

12717/ 84.78 = 150

We can fill 150 paper cup cones. have a great day!

8 0
2 years ago
The ratio of girls to boys competing at a gymnastics competition was 2 to 1 there were 75 kids participating in the competition.
skad [1K]

Answer:

  25 boys

Step-by-step explanation:

1 of 3 kids was a boy, so (1/3)·75 = 25 were boys.

8 0
3 years ago
Does anyone notice or know why is brainly dead for many days??​
ziro4ka [17]

Answer:

what do you mean dead its not breathing

Step-by-step explanation:

someone help ambulance we want <em>CPR</em>

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ZanzabumX [31]

It’s 00.9

Step-by-step explanation: I just took the test I know

3 0
2 years ago
Read 2 more answers
HELP PLEASE I NEED HELp
lidiya [134]

Answer:

Step-by-step explanation:

GH bisects ∠FGI

∠HGI = ∠HGF

4x - 14 = 3x - 3

4x = 3x - 3 + 14    {Add 14 to both sides}

4x = 3x + 11             {Subtract 3x from both sides}

4x - 3x = 11

x = 11

∠HGI = 4x - 14

         = 4*11 - 14

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∠FGI = 30 + 30

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