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Dmitriy789 [7]
2 years ago
12

The areas of two similar figures are 20 cm^2 and 45 cm^2. What is the scale factor of their corresponding sides?

Mathematics
1 answer:
ra1l [238]2 years ago
4 0

Answere areas of twosssss similar figures arddde 20 cm^2 and

Step-by-step explanation:

=--------------------------------

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The fuel economy of a car, measured in miles per gallon, is modeled by the function ƒ(s) = –0.009s2 + 0.699s + 12 where s repres
Kisachek [45]

Answer:

The maximum fuel economy of the car is 25.57225

Step-by-step explanation:

we are given

f(s)=-0.009s^2+0.699s+12

where

where s represents the average speed of the car, measured in miles per hour

So, we have to maximize f(s)

So, firstly we will find derivative

f'(s)=-0.009*2s+0.699*1+0

f'(s)=-0.018s+0.699

now, we can set it to 0

and then we can solve for s

f'(s)=-0.018s+0.699=0

s=\frac{233}{6}

To find maximum fuel economy , we can plug s into f(s)

f(\frac{233}{6})=-0.009(\frac{233}{6})^2+0.699(\frac{233}{6})+12

f(\frac{233}{6})=25.57225

So,

The maximum fuel economy of the car is 25.57225

4 0
3 years ago
Read 2 more answers
A remote control car races straight down the street at 26 miles per hour. Two
Pachacha [2.7K]

Answer:

It will take 4 hours for the second car to catch up with the first car.

Step-by-step explanation:

The first step to solving this problem is determining the difference in speed between the first and second car - you can see that the second car (at 52mph) is twice as fast as the first (26mph) therefore it will take half the time to cover the same distance.

As Car 1 has a 2 hour head start, it will be 52 miles ahead after 2 hours.

In the next 2 hours, Car 1 will travel 52 miles - so 104 in total after 4 hours, and car 2 will travel 104 miles, meaning that it will have caught up after 4 hours.

A)

To calculate distance per minute, divide the miles per hour by 60 (as there's 60 minutes in an hour), so:

Car 1 = 26/60 = 0.43 miles per minute

Car 2 = 52/60 = 0.867 miles per minute

To check your calculation, Car 2 should be exactly twice as far

B) The street, as far as we know, is at least 104 miles

C) See calculation at the top - the first car is 52miles from the start line when the second car starts

D) 2 cars are competing in this race

8 0
3 years ago
13/6 as a mixed number
igomit [66]
Thats easy.......... 2 1/6
8 0
3 years ago
Read 2 more answers
HELP ASAP A vector starts at point (-3, 4) and ends at point (6, -3). What is the magnitude of the vector? Answer to two decimal
balu736 [363]

The magnitude of the vector to two decimal places is 11.40 units

The formula for calculating the magnitude of the vector is expressed as:

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2 }

Given the coordinate points  (-3, 4) and (6, -3)

D=\sqrt{(-3-4)^2+(6+3)^2 }\\D=\sqrt{(-7)^2+9^2}\\D=\sqrt{49+81}\\D=\sqrt{130}\\D=  11.40

Hence the magnitude of the vector to two decimal places is 11.40 units

Learn more here: brainly.com/question/20759497

6 0
2 years ago
Convert each rate using dimensional analysis.<br> 18 m/min=cm/s
Alex73 [517]
18 m min 100 cm 30 cm
------ x ----- x --------- = ------
min 60 s m s
6 0
3 years ago
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