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ivanzaharov [21]
3 years ago
12

A driver in a car traveling at a speed of 21.8 m/s sees a cat 101 m away on the road. How long will it take for the car to accel

erate uniformly to a stop in exactly 99 m?
Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

t = 9.08 sec

Explanation :

This requires the use of the kinematic equations.

u = initial velocity = 21.8 m/s

v = final velocity = 0

t = time = what we're trying to find.

So we use the equation that relates d, u, v and t. This is

d = distance = 99m

d = \frac{t*(u+v)}{2}

and since v = 0 this reduces to d = \frac{tu}{2}

which rearranges to t = \frac{2d}{u}

t = \frac{2*99}{21.8} =9.08 seconds

t = 9.08 sec



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a strip of paper is 9/10 of an inch long. you need to cut the paper into 3/12 inch pieces. how many pieces will you be able to c
e-lub [12.9K]
We have to divide 9/10 by 3/12.

if we divide by a fraction, we can instead multiply by it's inverse:

\frac{9}{12}/ \frac{3}{12}  = \frac{9}{12} * \frac{12}{3}

so now we count:

\frac{9}{12} * \frac{12}{3} =\frac{9}{1} * \frac{1}{3}=3

so we can cut exactly 3 pieces!



5 0
3 years ago
Which of the following steps could be used to solve the equation 93 = x + 58? A. Add 58 to both sides. B. Subtract 58 from both
mario62 [17]

Answer:

Subtract 58 from both sides

Step-by-step explanation:

93 = x + 58

Subtract 58 from both sides

93- 58 = x+58-58

35 = x

6 0
3 years ago
Read 2 more answers
Suppose that x and y vary inversely and that y = 5 when x = 1. What is y when x = 15?
LiRa [457]

Answer:

Y=1/3

Step-by-step explanation:

X=k/y

So let's make k the subject of formula

k=xy

x=1,y=5

So let's substitute

k=1×5

k=5

So we are to determine the value for y when x is 15

So let's solve

Y=k/x

Y=5/15

Y=1/3

Y=0.333333~0.3

7 0
3 years ago
Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.
Oduvanchick [21]

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

3 0
2 years ago
A baseball coach bought some bats and gloves for the school's baseball team.the bats cost $20 to $35,and gloves cost $30 to $60.
arlik [135]

Max cost of 15 bats = 15 x 35 = $535

Min cost of 15 bats = 15 x 20 = $300


Max cost of 12 gloves = 12 x 60 = $720

Mix cost of 12 gloves = 12 x 30 = $360


Min total cost = 360 + 300 = $660

Max total cost = 535 + 720 = $1255

The range is from  $660 to $1255

=============> Answer (A) is out of the range

7 0
3 years ago
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