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OLEGan [10]
3 years ago
13

If the circumference of the circle is 37.68 units, what is the area? (Use 3.14 for pi .)

Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer: 113.04

Step-by-step explanation: The equation for the area of a circle is pi r squared so you have to find the radius first. To find the radius, find the diameter first. A way to do this which was easiest for me was dividing 37.68 by pi (3.14), which is 12. Divide the diameter by 2 to find the radius, 6.

Now use the equation from the beginning, pi r squared. So plug in pi as 3.14, then the radius as 6. It is important to always square the radius first, which would be 36. Now multiply 36 by 3.14, and there should be your answer.

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What is the vertex of the following graph?
boyakko [2]

The graph represents a parabola and a parabola is maximum or minimum at its vertex . So we need to check the graph , and find the point where the graph is maximum or minimum. And from the given graph , we can say that it is a downward up parabola which is minimum at its vertex . And the minimum point is (1.4). So the vertex is (1,4) .

6 0
3 years ago
The bakery shop purchased 7 2/10 pounds of sugar and 7 5/10 pounds of flour. How much sugar and flour did they purchase in all?​
gizmo_the_mogwai [7]

Answer:

Sugar = 1-2/5 pounds, Flour = 3-1/2 pounds

Together = 5-9/10 pounds

Step-by-step explanation:

sugar = 7(2/10)

flour = 7(5/10)

sugar + flour = 7(2/10) + 7(5/10)

sugar = 14/10 or 1-2/5 pounds

flour = 35/10 or 3-1/2 pounds

5 0
3 years ago
The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl
xeze [42]

Answer:

The traveler can plan such a tour in 3003 ways.

Step-by-step explanation:

The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, we have that:

Combinations of 5 cities from a set of 15. So

C_{15,5} = \frac{15!}{5!10!} = 3003

The traveler can plan such a tour in 3003 ways.

4 0
3 years ago
Divide. Write the quotient in lowest terms, 1 1/3 divided by 1 3/4. Please give a thorough explanation as i need help to figure
GaryK [48]

Answer:

Step-by-step explanation:

convert mixed fractions to improper fractions

rule=a b/c=(ac+b)/c

(1 1/3)/(1 3/4)

(4/3)/(7/4)

rule for dividing fractions=(a/b)/(c/d)=(a/b)(d/c)

(4/3)(4/7) then you can multiply the numerators and denominators

16/21

7 0
3 years ago
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games e
Ahat [919]

Answer:

t < 1.5

Step-by-step explanation:

Mon-Thu: 5.5 hours

each of the remaining 3 days: t hours each day

total time: 3t + 5.5

The total time must be less than 10 hours.

3t + 5.5 < 10

3t < 4.5

t < 1.5

8 0
2 years ago
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