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Gemiola [76]
3 years ago
9

Jessie designed a sculpture that is shaped like a circle. The circumference of the sculpture is 10π meters. Which measurement is

closest to the area of the sculpture in square meters?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

Answer:

25πm²

Step-by-step explanation:

Circumference of the circular sculpture = πd

d is the diameter

Given

Circumference = 10π metres

Substitute into the formula

10π = πd

10 = d

d = 10m

Area of the sculpture = πd²/4

area of the sculpture = π(10)²/4

area of the sculpture = 100π/4

area of the sculpture = 25π m²

Hence the measurement closest to the area of the sculpture in square meters is 25πm²

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10. The probability of buying pizza for dinner is 34% and the probability of buying
kipiarov [429]

Answer:

The probability of eating pizza given that a new car is bought is 0.952

Step-by-step explanation:

This kind of problem can be solved using Baye’s theorem of conditional probability.

Let A be the event of eating pizza( same as buying pizza)

while B is the event of buying a new car

P(A) = 34% = 0.34

P(B) = 15% = 15/100 = 0.15

P(B|A) = 42% = 0.42

P(B|A) = P(BnA)/P(A)

0.42 = P(BnA)/0.34

P(B n A) = 0.34 * 0.42 = 0.1428

Now, we want to calculate P(A|B)

Mathematically;

P(A|B = P(A n B)/P(B)

Kindly know that P(A n B) = P(B n A) = 0.1428

So P(A|B) = 0.1428/0.15

P(A|B) = 0.952

4 0
4 years ago
Which sentence illustrates the distributive property?
Citrus2011 [14]

I believe that C is correct!

3 0
3 years ago
Read 2 more answers
Can someone explain this to me since I don’t get it that well?
Tatiana [17]

so it'd be the first, third and fourth one. all you gotta do is draw a vertical line through the middle of the 1st, 3rd and 4th.

4 0
3 years ago
Let f(x) = x + 2 and g(x) = x2 + 4. Find f(g(f(2)).
Brut [27]
F(x)= 2+2=4 g(x)= 4x2+4=12 f(x)= 12+2=14. 14 should be ur answer.
5 0
4 years ago
Circular area rugs are priced at $5 per foot based on the circumference of the carpet used. What is the cost of the largest circ
ryzh [129]

Answer: 110

Step-by-step explanation:

We first need to find the maximum perimeter of the circular area rug that will fit in the rectangular space. We use the shortest side of the rectangle as the diameter of the rug.

A circle drawn inside a rectangle.

A rectangle has a length of 12 feet and a height of 7 feet. A circle is drawn inside in the center of the rectangle with a line labeled Diameter extending from the top most point of the circle to the bottom most point of the circle.

P=2πr=2π×72=21.9911 ft

We then multiply the perimeter of the rug by the cost per foot.

cost =21.9911×5=$109.9555

Rounded to the nearest whole number, the cost of the maximum circumference circular rug that can fit in the dining room is 110 dollars.

3 0
4 years ago
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