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Svetach [21]
3 years ago
10

Can someone help me plz am stuck on this.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0
First Question

circumference = pi * diameter

diameter = circumference/pi = 94.2 in./3.14 = 30 in.

The wheels have a 30-inch diameter.
-----------------------------------------------------------------------
Second question

The area of a circle: area = pi * r^2

radius = diameter/2 = 94.2 in./2 = 47.1 in.

area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2

Answer: 6966 in.^2
-----------------------------------------------------------------------
Third question

The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.

4 * 94.2 in. = 376.8 in.

Answer: 376.8 in.
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If g(x) =4x+2 and f(x) =3x-10 <br><br> find g(f(3))
Leya [2.2K]

Answer:

g(f(3))=-2

Step-by-step explanation:

So we have the two functions:

g(x)=4x+2\text{ and } f(x)=3x-10

And we want to find g(f(3)).

So, let's find f(3) first:

f(3)=3(3)-10

Multiply:

f(3)=9-10

Subtract:

f(3)=-1

Therefore, we can substitute -1 for f(3):

g(f(3))=g(-1)

Now, find g(-1):

g(-1)=4(-1)+2

Multiply:

g(-1)=-4+2

Add:

g(-1)=-2

And we're done!

So:

g(f(3))=-2

6 0
3 years ago
Lars is planning to purchase a home. He has been approved for a $420,000, 20-year mortgage with an APR of 5.125%.
Alenkasestr [34]

Answer:

Wow - you are asking a LOT of questions.  The Monthly Payment Formula is really tricky so I'll solve that for you.  

The time of the loan = 20 years * 12 = 240 months

We have to convert the annual rate to a monthly rate and that is done by:

monthly rate = 5.125 / 1,200 = 0.00427083333333333

Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / (1.00427083333333333^240) -1 ] * 420,000

Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / 2.7810190076 -1] * 420,000

Monthly pmt = (0.00427083333333333 +0.0023979718) * 420,000

Monthly pmt = 2,800.90

A calculator to double check is here: https://www.1728.org/calcloan.htm

Step-by-step explanation:

6 0
3 years ago
Please helpppp :&lt; here is 25 points
masha68 [24]

Answer:

function b

Step-by-step explanation:

When its asking for which function has a greater rate of change its asking for which slope has a greater value

the slope is calculated by change in y over change in x

for function a, as y goes up 2 x goes up 1

so the slope ( rate of change) is 2/1

for function b is y goes up 3 x goes up 1

so the slope (rate of change) is 3/1

3/1 is greater than 2/1 so function b has a greater rate of change

8 0
2 years ago
Multiply or divide. Write your answers in simplest form. 2/3 x 3/4, 3/5 divided by 1/2, 5 Divided by 3/8, 3/7 x 4/3, 4/9 divided
Yanka [14]
X/2, 6/5, 40/3,4x/7,20/27
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3 years ago
Mom drove 180 miles from home to the hotel in 3 hours how many miles did she drive per hour
Lorico [155]

Answer:

\huge\boxed{\sf 60 \ miles}

Step-by-step explanation:

<u>Given that,</u>

3 hours = 180 miles

Divide 3 to both sides

3/3 hour = 180/3 miles

1 hour = 60 miles

So, Mom drove 60 miles in one hour.

\rule[225]{225}{2}

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