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Vladimir79 [104]
2 years ago
15

Gavin drew a circle with a circumference of 10π centimeters. Which best represents the area of Gavin's circle in square centimet

ers?
​
Mathematics
1 answer:
Sholpan [36]2 years ago
7 0

Answer:

78.5cm^2

Step-by-step explanation:

Circumference equation = 2πr with radius r

10π = 2πr so r = 10π/2π = 5

Area of circle = πr^2

π * 5^2 = π * 25 = 25π = 78.53981... = 78.5 cm^2

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The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b
katen-ka-za [31]

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

5 0
2 years ago
Please Help! Show all the steps!
likoan [24]

You can start by subtracting different equations from each other.

3x + 2y + 3z = 1

subtract

3x + 2y + z = 7

2z = -6

divide by 2

z = -3

add the following two expressions together:

3x + 2y + z = 7

3x + 2y + 3z =1

6x + 4y + 4z = 8

subtract the following two expressions:

6x + 4y + 4z = 8

5x + 5y + 4z = 3

x - y = 5

^multiply the whole equation above by 3

3x - 3y = 15

subtract the following two expressions:

3x - 3y = 15

3x + 2y = 10

-5y = 5

divide each side by -5

y=-1

take the following expression from earlier:

x - y = 5

substitute y value into above equation

x - - 1 = 5

2 negatives make a positive

x + 1 = 5

subtract 1 from each side

x = 4

Therefore x = 4, y = -1, z = -3

I checked these with all 3 equations and they worked :)

(it's quite complicated, comment if you don't understand anything) :)

7 0
3 years ago
What’s the volume of a cylinder with a radius of 1 and height of 3ft?
Dafna1 [17]

Answer:

9.42

Step-by-step explanation:

V=pir2h

(pi, radius squared, height)

hope this helped!

6 0
2 years ago
Rona was driving on an asphalt road that had a 35 mile per hour speed limit posted. A lrr r deer jumped out from the side of the
sleet_krkn [62]

Answer:

The answer is "The cops were correct because the average speed would have been about 39.73 miles per hour as per the calculations."

Step-by-step explanation:

Finding the average skid distance:

Average=\frac{70+71+72}{3}=\frac{213}{3}=71

Calculating the skid:  

S=\sqrt{30 \times D \times f\times n}\\\\  

   =\sqrt{30 \times 71 \times 0.78\times 0.95}\\\\=\sqrt{1,578.33}\\\\=39.73

8 0
3 years ago
Model 2 equivalent fractions for 9 eighths
siniylev [52]
19/16 and also 81/72 
6 0
3 years ago
Read 2 more answers
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