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3 years ago

The circumference of a circle that has a radius of 70 feet is most nearly

Mathematics

1 answer:

ololo11 [35]3 years ago

6 0

Answer:

B 440 feet

Step-by-step explanation:

C = 2(3.14)r

= 2(3.14)70 feet

= 6.28(70 feet)

= 439.6

439.6 is approximate to 440 feet

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"the sum of the digits of a two-digit number is 13. reversing the digits produces a number that is 9 less than the original numb

Ksenya-84 [330]

Suppose the one's digit is x, the ten's digit is y. the original number is 10y+x, the reversed number is 10x+y

x+y=13
(10x+y)=(10y+x)-9 =>9y-9x=9 =>y-x=1
Add the two equation to solve: 2y=14 =>y=7
x=13-7=6
the original number is 76.

6 0

3 years ago

A go-cart racetrack has 100-meter straightaways and semicircular ends with diameters of 40 meters. Calculate the average speed i

emmainna [20.7K]

Answer:

Average speed of go cart is 217.07 meters per minute.

Step-by-step explanation:

We are given the following in the question:

Length of straightway racetrack = 100 m

Diameter of semicircular end = 40 m

Radius =

$r = \dfrac{d}{2} = \dfrac{40}{2} = 20\text{ m}$

Perimeter of racetrack =

Perimeter of semicircle + 2(Length of straightway) + Perimeter of semicircle

$=\pi r + 2(100) + \pi r\\=2\pi r + 2(200)\\=(2\times 3.14\times 20) + 200\\=325.6\text{ m}$

Speed =

$s = \dfrac{\text{Distance}}{\text{Time}}\\\\s = \dfrac{4\times \text{Perimeter of track}}{6}\\\\s = \dfrac{4\times 325.6}{6}\\\\s = 217.06\text{ meter per minute}$

Thus, average speed of go cart is 217.07 meters per minute.

4 0

3 years ago

. During a year, the probability a structure will be damaged by an earthquake (A) is 0.02, that it will be damaged by a hurrican

enyata [817]

Answer:

0.9506

Step-by-step explanation:

Pr(A) = 0.02

Pr(B) = 0.03

Pr(both) = 0.007

So,

Pr(Not A) = 1 - Pr(A)

= 1 - 0.02

= 0.98

Pr(Not B) = 1 - Pr(B)

= 1 - 0.03

= 0.97

Pr(Not by both) = 1 - Pr(both)

= 1 - 0.007

= 0.993

Thus,

Pr(Not B) or Pr(Not A) = 0.97 × 0.98

= 0.9056

∴ the probability that the house would not be damaged by a hurricane or an earthquake during the year is 0.9506.

7 0

3 years ago

Zak has some water in a jug.

Alisiya [41]

Answer:

what?

Step-by-step explanation:

4 0

3 years ago

The number of traffic violations in a city increased from 12 to 16 in a month. What is the percent of increase in the number of

Tems11 [23]

Answer:

33%

Step-by-step explanation:

Percentage increase = $\frac{increase}{initial value}$ x 100%

Number of traffic violations increased from 12 to 16.

Initial value = 12

Final value = 16

increase = Final value - Initial value

= 16 - 12

= 4

Percentage increase = $\frac{increase}{initial value}$ x 100%

= $\frac{4}{12}$ x 100%

= $\frac{1}{3}$ x 100%

= $\frac{100}{3}$ %

= 33.3333%

The percentage increase in the number of traffic violations for the month is 33%.

5 0

3 years ago