2 years ago

A circle with a circumference of 6 has an arc with 20 central angle

1 answer:

7 0

Answer: 0.3 units

Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

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The area of a rectangle is 27 m^2 , and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the

vagabundo [1.1K]

Let $L$ be the length of the rectangle and $W$ be the width. In the problem it is given that $L=2W-3$ . It is also given that the area $LW=27$ . Substituting in the length in terms of width, we have $W(2W-3)=27 \\ 2W^2-3W-27=0 \\ (2W-9)(W+3)=0$ . Using the zero product property, $2W-9=0 \text{ or } W+3=0$ . Solving these we get the width $W=4.5 \text{ or } -3$ . However, it doesn't make sense for the width to be negative, so the width must be $\boxed{4.5 \text{ m}}$ . From that we can tell the length $L=2(4.5)-3=\boxed{6 \text{ m}}$ .

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2 years ago

Find the volume of a cylinder with radius 4 m. And height 3 m.

katovenus [111]

$V = \pi r^25$

Plug in the values

r = 4 ; h = 3

$V= \pi *4^2*3

V = 3.14 * 16 * 3

V = 150.72$

So approximately 150.7

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3 years ago

Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran the race in 55.7 seconds, what was the record.

dybincka [34]

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57 seconds

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2 years ago

5 friend's are having a tennis tournament.Each friend will play the other 4 friend once. How many matches will be played

Paraphin [41]

The handshake problem!
Each of the five will play against 4 others, but since A vs B can be considered the same game as B vs A, so there are 5*4/2=10 matches.

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Sophie [7]

Answer:C

Step-by-step explanation:

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2 years ago