All categories

3 years ago

Marley runs 5 yards down the track from point A to point B, and then stops and runs

Mathematics

1 answer:

julia-pushkina [17]3 years ago

3 0

Answer:

$\sqrt{61}$ =AC or 7.8102=AC

Step-by-step explanation:

If we connect a line from point A to point C we create a triangle, and we can use pythagorean theorem to find this distance. So the line from point A to point C will be our hypotenuse and the other two distances will be out side lengths.

$5^{2}+6^{2}=AC^{2}$

25+36= $AC^{2}$

61= $AC^{2}$

$\sqrt{61}$ =AC or 7.8102=AC

You might be interested in

Phyllis invested 47000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 6

Alexandra [31]

Answer:

31000 dollars were invested at 4% interest rate.

16000 dollars were invested at 5% interest rate.

Step-by-step explanation:

Convert the interest rate into decimal and then write down two equations to solve for the unknowns.

$\begin{bmatrix}0.04x+0.06y=2200\\ x+y=47000\end{bmatrix}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\x=31000,\:y=16000$

Best Regards!

5 0

3 years ago

user100 [1]

The total interest on the mortgage loan is $219,249.60

What is a mortgage loan?

It is a loan taken in order to purchase a property that requires periodic repayments such as monthly repayment since most mortgages are repaid monthly.

Our first task is to determine the monthly repayment using the present value formula of an ordinary annuity because the monthly payment becomes due at the end of each month.

PV=monthly repayment*(1-(1+r)^-N/r

PV=loan amount=$210,000

monthly repayment=unknown(assume it is X)

r=monthly interest rate=5.5%/12=0.00458333333333333

N=number of monthly payments in 30 years=30*12=360

$210,000=X*(1-(1+0.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-(1.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-0.19277525234572900)/0.00458333333333333

$210,000=X*0.80722474765427100/0.00458333333333333

$210,000=X*176.12176312456800000

X=$210,000/176.12176312456800000

X=monthly payment=$1,192.36

total repayments(360 months)=$1,192.36*360

total repayments(360 months)=$429,249.60

Total interest=total repayments(360 months)-loan amount

Total interest=$429,249.60-$210,000

Total interest=$219,249.60

Find more on mortgage payment on:brainly.com/question/22846480

#SPJ1

7 0

2 years ago

Find the unit rate. 21 3/4 meters in 2 1/2 hours

anyanavicka [17]

(21 3/4) / (2 1/2) =
(87/4) / (5/2) =
87/4 * 2/5 =
174/20 reduces to 8 7/10 (or 8.7)meters per hr

6 0

3 years ago

Will an exponential function always, never, or sometimes exceed a polynomial function?

patriot [66]

At some point, the exponential function always exceeds a polynomial function.

3 0

3 years ago

Read 2 more answers

May someone help me with 2-9? Please?

mylen [45]

2. Each side of a pentagon is the same size.

4cm x 5 = 20cm or 4cm+4cm+4cm+4cm+4cm = 20cm

3. Each side of a square is the same size.

13yd x 4 = 52yd or 13yd+13yd+13yd+13yd = 52yd

4. Add all sides together.

12m+12m+30m+30m = 84m

5. Again add all sides together.

16yd+16yd+4yd+4yd = 40yd

6. Each side of a square is the same size.

7in x 4 = 28in. or 7in+7in+7in+7in = 28in

7. Add all sides together.

2cm+2cm+3cm+3cm = 10cm

8. Each side of a rhombus is the same size. A rhombus has 4 sides.

23in x 4 = 92in or 23in+23in+23in+23in = 92in

9. A regular octagon has 8 sides and each side is the same size.

9cm x 8 = 72cm

7 0

3 years ago