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Mazyrski [523]
3 years ago
5

an automobile has 20 inch diameter wheels if the wheels revolved three times after the brakes were applied, the stopping distanc

e was approximately
Mathematics
1 answer:
Marrrta [24]3 years ago
4 0

Answer:

188.49

Step-by-step explanation:

use the diameter to find the circumference..

C = d pi          or C = 2r pi

when you plug in 20, you get 62.83

now take that, and multiply it by 3, because the wheels went around three times.

62.83 * 3 = 188.49  inches

i hope this was helpful to you!

stay safe!!

:)

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Fill in the table to convert the units of time from hours to minutes or minutes to hours.
tester [92]
Ok so first we need to under stand that 60 minutes is equivalent to 1 hour, by knowing this we should be able to answer the following. Our first box which needs to be filled in asking how many hours are in 300 minutes, well let’s figure this out. So we know that in 60 minutes it will be equivalent to one hours, so in order to find how many minutes are in 300 minutes we would divide 300 by 60 which give a us 5. Therefore causing the second box to me 5 hours. Our next and final box is asking how many hours are in four minutes well this one is a little harder than our previous one but I’ll help you through it. By following the same procedure as we did the previous question we are going to divide 4 by 60 and we know that dividing like so we are going to get a decimal but that’s ok it’s going to give us the answer we need to fill in the box. By dividing like so we should get a long decimal that look that this 0.066666666666667. I am going to simply this down to 0.0667. Causing my last box to be 0.667.
Summary:
second box: 5 hours
Third box: 0.0667 hours
Hope this helps!!!
Please tell me if I have made an error, I enjoy learning from my mistakes:)
Have a great rest of your day❤️
4 0
2 years ago
System of equations
nalin [4]

Answer:

The solution of the system of equations is the point (-3,0)

Step-by-step explanation:

we have

-3x+y=9 -----> equation A

2x-y=-6 -----> equation B

Adds equation A and equation B

-3x+y=9\\2x-y=-6\\------\\-3x+2x=9-6\\-x=3\\x=-3

Find the value of y

-3(-3)+y=9

9+y=9

y=9-9=0

The solution of the system of equations is the point (-3,0)

4 0
3 years ago
Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)
VMariaS [17]

ANSWER

(3x  - 2)(x + 4)

EXPLANATION

The given quadratic trinomial is

3 {x}^{2}  + 10x - 8

Comparing to the general quadratic trinomial:

a{x}^{2}  + bx  + c

We have a=1, b=10 and c=-8

ac =  3  \times  - 8 = - 24

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

3 {x}^{2}   + 12x   - 2x- 8

Factor;

3x(x+ 4)  -  2(x + 4)

Factor further;

(3x  - 2)(x + 4)

The last option is correct.

4 0
3 years ago
Which fraction is equivalent to 38%?<br> 3/8<br> 9/25<br> 19/50<br> 3 4\5
KonstantinChe [14]
In order to find a fraction, We know that a percentage is out of a 100. This means we can now place our fraction as:

38/100

In order to find the actual fraction, we will want to simplify. Lets find our least common factor and work down from there. Since we know that 2 can go into both of them, lets reduce by 2.

This means our fraction will now look like: 

19/50

Since 19 is a prime number and cannot be divided by anything but 1 and itself, we know that this is our simplified form. 

This means:

19/50 is the fraction equivalent to 38%. 
5 0
3 years ago
Read 2 more answers
If A+B= 45° then prove that: tanA+ tanB+ tanA. tanB​
Iteru [2.4K]

Answer:

See Explanation

Step-by-step explanation:

A+B= 45 \degree \\  \\ assuming  \:  \tan \: on \: both \: sides \\  \\\implies \: \tan( A+B)=  \tan 45 \degree \\  \\  \implies \: \tan( A+B)=  1 \:  \: \\  (  \because \: \tan 45 \degree = 1) \\  \\ \implies \:  \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B }  = 1 \\  \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\  \\ \purple{ \implies }\:  \orange{ \bold{\tan \: A +\tan \: B  + \tan \: A .\tan \: B= 1 }} \\  \\ thus \: proved

8 0
2 years ago
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