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belka [17]
3 years ago
8

While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? (Re

member that a negative value indicates slowing down or deceleration)
Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

We are given that:

vi, initial velocity = 24 m/s

v, final velocity = 15 m/s

t, time = 12 s

 

The formula for acceleration is:

a = (v – vi) / t

a = (15 – 24) / 12

<span>a = - 0.75 m/s^2                                (deceleration)</span>

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A kitten and a puppy found a sausage which is 14cm long and started eating it simultaneously from each end. The kitten is eating
julsineya [31]

It takes them 12 seconds to eat the whole sausage.

<h3>What is speed?</h3>

Speed is the rate of change of distance.

Analysis:

If kitten eats x cm, then puppy will eat 14 - x cm

speed = d/t

speed of kitten = 1/2

speed of puppy = 2/3

1/2 = x/t

2/3 = 14 - x / t

t = 2x--------1

2t = 3(14 - x ) -------- 2

substitute t in equation 2

2(2x) = 3(14 - x)

4x = 42 - 3x

7x = 42

x = 42/7 = 6cm

substitute value of x in equation 1

t = 2(60 = 12 seconds.

In conclusion, it takes the both animals 12 seconds to finish the sausage.

Learn more about speed: brainly.com/question/4931057

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3 0
2 years ago
A vitamin C tablet contains 1/40 of a gram of vitamin C. You take 1 1/2 tablets every day. How many grams of vitamin C do you ta
enyata [817]
1/40*1.5=3/80=0.0375
8 0
3 years ago
Leona has a large bag of apples. There are 180 apples in the bag. She uses 14of the apples to make some juice. She uses 20% of t
andreev551 [17]

Answer:

132.8 are left enjoy

7 0
3 years ago
There are 84 boys in a senior class of 146 students. find the ratio of boys to girls. (note: if you know the total number of stu
vladimir1956 [14]
84 to 62. You have to subtract 146-84 to get the number of girls from the class.
4 0
3 years ago
How do you solve sin (5pi/3) without a calculator?
Savatey [412]

very simple, we use the formula sin(a+b)=sinacosb + sinbcosa and sin(20)=2sinacosa

5pi = 2pi/3+3pi/3,

First, we use sin(a+b)=sinacosb + sinbcosa

sin(5pi/3)=sin(2pi/3+3pi/3)= sin(2pi/3+pi)= sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)

but we know that sin(pi)= 0, and cos (pi) = -1, so sin(5pi/3)= - sin(2pi/3)

now, use sin(2a)=2sinacosa, sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)

sin<span>(5pi/3)=  -2sin(pi/3)cos(pi/3)</span>

<span>sin(pi/3)= 0.86, cos(pi/3)=0.5, finally we have   </span>sin<span>(5pi/3)=  -0.86 x 0.5= -0.43</span>

5 0
4 years ago
Read 2 more answers
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