All categories

3 years ago

A cyclist rides a bike 18 miles in 3 hours. If riding at a constant rate, how far can the cyclist ride in 1 hour

Mathematics

2 answers:

vovangra [49]3 years ago

4 0

Answer:

Step-by-step explanation:

You can use VERY simple division here.

18/3 because of a constant rate of change is the answer for your one hour

of which is a simple and commonly known answer considering the fact it comes out as an even integer (6)

kodGreya [7K]3 years ago

3 0

Answer:

6 miles per hour

Step-by-step explanation:

18 divided by 6 = 3

You might be interested in

Safari Park<br>24 dogs<br>9 cats<br>Number of Animals

brilliants [131]

Answer:

The answer would be 33 animals in the Safari park

Step-by-step explanation:

-----

6 0

3 years ago

Read 2 more answers

Can someone please explain how to do this? thank you!

valkas [14]

Answer:

I belive the answer would be 452.16

Step-by-step explanation:

The formula to find the volume of a cylinder is $v=\pi r^2h$

h = height

r = radius

The radius for this is 4 and the height is 9

instert your number into your equation $v=\pi (4)^2(9)$

and from there i would just put it into a calculator and you get $144\pi$ or 452.3893-

8 0

3 years ago

Read 2 more answers

A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the

zhenek [66]

Answer:

Used wire in circle x = 2.64 m

Used in square L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x and 6 - x

We are going to use the piece x to get the circle then

So Perimetr of a circle is 2π*r (r is the radius of the circle) then:

x = 2*π*r ⇒ r = x/2*π

And area would be A(c) = π* (x/2*π)² ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4 is the side of the square

And the area is A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t) = A(c) + A(s)

A(x) = x²/4π + [ ( 6 - x ) / 4 ]²

A(x) = x²/4π + (36 + x² - 12x) /16

A(x) = 1 / 16π [ 4x² + 36π + πx² - 12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0 ⇒ 1/ 16π [8x +2πx - 12π] = 0

[8x +2πx - 12π] = 0

8x + 6.28x - 37.68 = 0

14.28x - 37.68 = 0 ⇒ x = 37.68 /14.28

x = 2.64 m length of wire used in the circle

Then the length L for the side of the square is

(6 - x )/4 ⇒ ( 6 - 2.64 )/ 4 ⇒ 3.36 / 4

L = 0.84 m total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

The function is a quadratic function and "a" coefficient is positive then is open upward parabola there is not a maximun

5 0

3 years ago

70 POINTS SHOW HOW U DID IT FOR BRAINLIEST

eimsori [14]

Answer: is 11 x 11 x 11

7 0

2 years ago

Read 2 more answers

Please assist me with these problems

Vinil7 [7]

Part (a)

<h3>Answer: y1 and y3 are perpendicular</h3>

This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.

=====================================================

Part (b)

Graph each line to see where they cross. The three points of intersection are

(0,4)

(2,-2)

(4,2)

The order of the points doesn't matter.

You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.

3 0

3 years ago

Read 2 more answers