A2 + b2 = c2 If a = 12 and c = 15, find the value of b using the Pythagorean theorem. b = 399 b = 19.97 b = 81 b = 9

The longest human power sporting event is the tour de France cycling race in a particular year the average speed for the winner

sergey [27]

Answer:

The winner completed the race in 96 hours and 52 minutes.

Step-by-step explanation:

Given:

Distance of the cycling race = 2292 miles

Average speed of the winner = $23.66\ mph$

We need to find time required by winner to complete the race.

Solution:

Now we know that;

Time required can be calculated by dividing Total Distance from the Average speed.

framing in equation form we get;

time required by winner to complete the race = $\frac{2292}{23.66} = 96.87\ hrs$

Now converting $0.87\ hrs$ into minutes we get;

$0.87\times 60= 52.2\approx 52\ mins$

Hence the winner completed the race in 96 hours and 52 minutes.

3 0

3 years ago

Find an expression for the function f(x) whose graph is a line passing through the points (8,-5) and (-9,2). f(x)=

kolbaska11 [484]

Answer: f(x) = - 7x/17 - 29/17

Step-by-step explanation:

The expression for the function f(x) would be represented in the slope-intercept form, y = mx + c

Where

c represents the y intercept.

m represents the slope of the line.

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

The line passes through (8, - 5) and (- 9, 2),

y2 = 2

y1 = - 5

x2 = - 9

x1 = 8

Slope,m = ( 2 - - 5)/(- 9 - 8) = 7/- 17 =

- 7/17

To determine the intercept, we would substitute x = 8, y = - 5 and m = - 7/17 into

y = mx + c. It becomes

- 5 = - 7/17 × 8 + c

- 5 = - 56/17 + c

c = - 5 + 56/17

c = - 29/17

The equation becomes

f(x) = - 7x/17 - 29/17

8 0

3 years ago

Read 2 more answers

Compare the functions shown below:

emmasim [6.3K]

The intersection with the y axis occurs when x = 0.
We have then:

For f (x):
$f (0) = -3 (0) - 5

f (0) = 0 - 5

f (0) = - 5$

For g (x):
We can observe in the graph that when x = 0, the value of the function cuts to the y axis in y = -3

For h (x):
$h (0) = 2cos (2 (0) -\pi) +4

h (0) = 2cos (0-\pi) +4

h (0) = 2cos (-\pi) +4$
$h (0) = 2 (-1) +4

h (0) = -2 + 4

h (0) = 2$

Therefore, the graph with the intersection with the largest y axis is h (x)

Answer:
the greatest y-intercept is for:
C. h(x)

6 0

3 years ago

Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.

N76 [4]

Answer:

59

Step-by-step explanation:

Because multiply 18.8 and 3.14 and get a number with a decimal so round up and get 59 :)

7 0

3 years ago

A rectangle is four times as long as it is wide. The perimeter is 40 cm. Find the length of each side.

rjkz [21]

Answer:

W=4 l=16

Step-by-step explanation:

Let w = width

Let l = length

Since the length is 4 times the width, l=4w

Perimeter of rectangle = 2l + 2w

= 2(4w)+2w

=10w

The perimeter of the rectangle =40, so

40=10w and w=4

Plug w into the length equation : l=4w=4(4)=16

6 0

3 years ago