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docker41 [41]
3 years ago
13

When cyclist squeezes her brake lever, she can stop with an acceleration of -3.0 m/s^2 how far will her bike travel while coming

to a complete stop if her initial speed was 11 m/s
Mathematics
2 answers:
kaheart [24]3 years ago
8 0

Answer:

20.2 m

Step-by-step explanation:

APEX

Blizzard [7]3 years ago
7 0
We shall use the formula
v² = u² + 2as
where
v =  final speed. v = 0 because the cyclist comes to a complete stop.
u = initial speed. u = 11 m/s, given
a = acceleration. a = -3.0 m/s², given
s =  distance traveled, m.

Therefore
0 = 11² + 2(-3.0)*s
0 = 121 - 6s

That is,
6s = 121
s = 121/6 = 20.167 m

Answer: 20.2 m (nearest tenth)

You might be interested in
Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?
julsineya [31]

Answer:

4

Step-by-step explanation:

t = d/r

t = 280/70

t = 4 hours

6 0
3 years ago
A buyer owes a supplier $820. The terms were 3/10, n/60. Within 10 days, the buyer sent in a payment of $140. How much is the ne
Margaret [11]

Answer:

The new balance is $675.8

Step-by-step explanation:

Solution

Given that

The total amount of loan = $820.

The terms were = 3/10, n/60

Within 10 days, the buyer sent in a payment of  =$140

What is the new balance =?

Now,

3/10 =  if the amount is paid in 10 days, a discount of is included

n/60 = This means that all amount should be paid within 60 days

Thus,

$140 for 3/10 as this is paid within 10 days

140 *3% = 140 * 3/100

we get

=$4.2 of discount

Then,

The balance amount becomes $ 820 - 140 -4.2

=$675.8

7 0
3 years ago
. For the function rule y = -2x - 3, provide the x-y coordinates of the y-intercept and the x-intercept. Show your work.
VashaNatasha [74]
The answer would be  3,2
5 0
3 years ago
The area of the base of the cone is 64π square millimeters, and the area of the lateral surface is 112π square millimeters. Find
baherus [9]

Answer:

Radius = 8 mm

Slant Height = 14 mm

Step-by-step explanation:

Base of a cone is a circle.

Area of circle is given as A=\pi r^{2}

Where r is the radius.

Given that

A = 64 \pi\ mm^2\\\Rightarrow  \pi r^{2} = 64\pi \\\Rightarrow r^{2}  = 64\\\Rightarrow r = 8\ mm

Hence, radius is 8 mm.

Formula for Lateral Surface Area of a cone:

LSA = \pi rl

Where r is the radius and

l is the slant height of cone

Given that LSA = 112 \pi\ mm^2

\Rightarrow 112\pi = \pi \times 8 \times l\\\Rightarrow 8 \times l = 112\\\Rightarrow l = 14\ mm

Hence, slant height is 14 mm

6 0
3 years ago
Find the mean:
seropon [69]
1 + 3 + 2 + 2 + 3 + 1 + 4 + 0 + 5 + 2 + 6 + 2 = 31

There a total of 12 numbers

31/12 = 2.58 (rounded to the nearest hundredth)

Your mean is 2.58

Hope I helped! 

Let me know if you need anything else!

~ Zoe
3 0
4 years ago
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