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musickatia [10]
3 years ago
11

Is the square root if 27 irrational?

Mathematics
1 answer:
viktelen [127]3 years ago
3 0
\sqrt{27}=\sqrt{9\cdot3}=\sqrt9\cdot\sqrt3=3\sqrt3 \Rightarrow \hbox{it's irrational}
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A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5. What is the a
vesna_86 [32]

ANSWER

882 \:  {in}^{2}

EXPLANATION

The area of the original rectangle is 72 in².

If the length and the width of the rectangle are changed by a scale factor of 3.5.

Then the area will change by

{3.5}^{2}  = 12.25

To get the area of the new rectangle is we multiply the area of the original rectangle by 12.25.

This implies that,the area of the new rectangle is

3.5 \times 72 = 882  \: {in}^{2}

Therefore the area of the new rectangle is 882 square inches.

4 0
3 years ago
the distance around a meteor crater is 9687 feet find the diameter of the crater use 22/7 for pi round to the nearest tenth
WARRIOR [948]
Assuming that the meteor crater forms a hemisphere, the formula for the surface area of the crater would be 2(pi)(radius^2). Set the crater equal to the formula for a hemisphere and substitute pi for 22/7 and you’d get 9687 = 2(22/7)(radius^2). Do some quick magic on the calculator to simplify and you end up with about 60,889.71 = radius^2. Take the square root from both sides and you get 246.8 when rounded. That should be the length of the radius, and so to find the diameter, just multiply that by 2 to get 493.5. Now I don’t really know what shape you mean by meteor crater, so we’re just assuming here that you mean half of a sphere, or a hemisphere. Don’t know if this is what you’re looking for, so good luck.
8 0
3 years ago
The marked price of an article is Rs.2080. After allowing d% discount and levying
mash [69]

Answer:

13%

Step-by-step explanation:

<u>Given:</u>

  • MP = 2080
  • Discount = d%
  • VAT = (d-2)%
  • Cost = 1997.84

<u>Apply discount:</u>

  • 2080 - d% = 2080*(1 - 0.01d)

<u>Add VAT:</u>

  • 2080*(1 - 0.01d) + (d - 2)%
  • 2080*(1 - 0.01d) * (1 + (d -2)/100)
  • 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
  • (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
  • 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
  • - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
  • 0.0001d²- 0.0002d - 0.0195 = 0
  • d² - 2d + 195 = 0

<u>Solving the quadratic equation we get:</u>

  • d = 15

<u>Then</u>

  • VAT rate = 15 - 2 = 13%
7 0
3 years ago
On the 7th grade field trip to Washington D.C for every 8 students there were 3 chaperones. 12 chaperones were needed. How many
irinina [24]
32 students would be on the trip. What I did to solve it was a proportion. 8students/ 3 chaperones= x students/12 chaperones.
8*12= 96 and 96/3=32. Therefore 32 students were on the trip.
3 0
3 years ago
Help me please !!!!!!!!!!!
Mkey [24]

Answer:

s=5

Step-by-step explanation:

As you can see, you have a whole block that is 20. Then you have another block that is broken down to 4 squares.

So....

4s=20

divide 4 to 4s

divide 4 by 20

so s=5

8 0
3 years ago
Read 2 more answers
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