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3 years ago

Please help! 15 points!

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

7 0

Answers:

(a) Area: 2108 in² Perimeter: 192 in

(b) Area

Step-by-step explanation:

To find the area, you do 34 × 62

To find the perimeter you do 34 + 34 + 62 + 62

Blizzard [7]3 years ago

7 0

Answer:

Sorry, I can't help you with that :( I hope someone else can tho!

Step-by-step explanation:

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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 width of a square is its side length.

The width of a circle is its diameter.

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

Formulas

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

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

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

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

The questions are in the pictures:)

JulsSmile [24]

Answer:

4.75 to 7.5

Step-by-step explanation:

just look at it or use a pencil to draw lines to proportion

7 0

3 years ago

If someone could pls help me this im new to this and yes tysm if you do :)

11111nata11111 [884]

Answer:

A circle of radius = 7 or diameter = 14 or circumference = 43.98 meters has an area of: 0.0001539 square kilometers (km²) 153.9 square meters (m²) 1.539 × 10 6 square centimeters (cm²)

Step-by-step explanation:

can I get branliest please?

8 0

3 years ago

I need the answers to the fill in bubbles.

DochEvi [55]

System A: The system has exactly one solution (3,1)
System B: No Solution
System C: Infinite many solutions

7 0

3 years ago

Read 2 more answers

The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballga

sergiy2304 [10]

Answer:

dependent events since P(A and B) is not equal to P(A) * P(B)

Step-by-step explanation:

According to the Question,

Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.

Thus, The events A, B and A∩B are:

A - Jane will go to a ballgame on Monday;

B - Kate will go to a ballgame on Monday;

A∩B - Kate and Jane both go to the ballgame on Monday.

P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.

Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52

So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)

3 0

3 years ago