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Arte-miy333 [17]
2 years ago
10

14.) Which expression is equivalent to 2/3 X 5?3x5÷22÷5x32x5÷33=2x5​

Mathematics
1 answer:
Alinara [238K]2 years ago
4 0

Answer:

the second one is ur answer

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From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th
wel

Answer:

\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}

Step-by-step explanation:

The <u>width</u> of a square is its <u>side length</u>.

The <u>width</u> of a circle is its <u>diameter</u>.

Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.

<u>Formulas</u>

\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}

\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}

\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}

If the diameter is equal to the side length of the square, then:
\implies \sf r=\dfrac{1}{2}s

Therefore:

\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}

So the ratio of the area of the circle to the original square is:

\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}

Given:

  • side length (s) = 6 in
  • radius (r) = 6 ÷ 2 = 3 in

\implies \sf \textsf{Area of square}=6^2=36\:in^2

\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)

Ratio of circle to square:

\implies \dfrac{28}{36}=\dfrac{7}{9}

5 0
2 years ago
Plsss help (brainliest if right!)
Blizzard [7]

Answer: Simple, it got Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis

Step-by-step explanation:

4 0
2 years ago
You start driving east for 12 miles, turn left, and drive north for another 10 miles. At the end of driving, what is your straig
Mila [183]

Answer:

15.6=c

Step-by-step explanation:

(12)^2+(10)^2=c^2

144+100=c^2

244=c^2

square root of both sides=244= square root c^2

15.620499=c

15.6=c

6 0
3 years ago
Read 2 more answers
The oldest child in a family of four children is twice as old as the yougest. The two middle children are 12 and 15 years old. I
vesna_86 [32]

Answer:

8 years old

Step-by-step explanation:

oldest= 16

8+12+15+16= 51

51/4 = 12.73 ( average)

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3 years ago
Help! Due in 5 minutes
Katyanochek1 [597]
2/7 + 4/7 = 6/7 Can be rewritten as
4/7 + 2/7 = 6/7
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3 years ago
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