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3 years ago

What is the image of ( -4, 12) after a dilation by a scale factor of centered at the origin?

Mathematics

1 answer:

steposvetlana [31]3 years ago

6 0

If you use the dilation by a scale factor, it will be a graph of:
y = -3x
Which is the image.

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The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13

Iteru [2.4K]

Answer:

283 cm^2

Step-by-step explanation:

Solution:-

We have a cone with a circular base of radius r = 5 cm

The height of the cone is h = 12 cm

The slant height of the cone is L = 13 cm

We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:

Base Area : Circle

$A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi$

Curved Surface: conical

$A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi$

The total surface area of the cone can be written as ( A ):

$A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2$

Answer: The surface area of the cone to nearest whole number would be 283 cm^2

4 0

4 years ago

A car manufacturer can produce 200 cars per day.

quester [9]

Answer:

IT WILL TAKE 4 WEEKS TO PRODUCE 5,600 CARS

5 0

4 years ago

Read 2 more answers

It takes Mike 1 hour to get to work each day. He first rides the train, which travels at an average rate of 65 miles per hour. T

Pepsi [2]

Answer:

Time_subway = 6 minutes

Step-by-step explanation:

Total time to get to work = 1 hour

Total_distance = 61 miles

Speed_train = 65 miles/h

Speed_subway = 25 miles/h

The fomula for speed is defined as

Speed = distance/ time, which means that

Time = distance/speed

Total_time = time_train + time_subway

Total_time = (distance_train/Speed_train) +

(distance_subway/Speed_subway )

1h = (distance_train/65) + (distance_subway/25 )

We also know that

Total_distance = 61 miles = distance_train + distance_subway

We solve the system of two equations

1 = (distance_train/65) + (distance_subway/25 )

61 = distance_train + distance_subway

We obtain that

distance_train = 58.5 miles

distance_subway = 2.5 miles

So the time spent on the subway is

t_sub = (2.5 mi/25 mi/h) = 0.1 h

0.1 h is equal to 6 minutes

3 0

3 years ago

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Write the following expression using rational exponents. Vyt = y The numerator of the exponent is The denominator of the exponen

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3 years ago

Write an equation of the line below.

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The equation of the given line above is y=3x-1. The slope of the line is 3/1 (3x) and the y-intercept which is where the line crosses the y-axis is (0,-1) When you plug these parameters into the equation you will get the equation y=3x-1

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4 years ago