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lidiya [134]
2 years ago
5

A field has a length of 6 2/3 yards and a width of 4 3/4 yards. What is the area of the field.

Mathematics
1 answer:
gulaghasi [49]2 years ago
6 0

Answer:

Ste-by-step explanation:

That doesn’t answer it stupid

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At 1 P.M., ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast i
Evgen [1.6K]
<span>The distance between the ships is changing at a rate of 21.393 km/h

</span><span>Step 1: First, you must draw an image to help better understand the problem 
</span>

The reason that ship A is moving -35km/h is because ship B acts as an "origin" and as things move closer to the "origin" they become negative and as things move away from the "origin" they become positive.

We know that the rate of Ship A is expressed as <span><span><span>dA</span><span>dt</span></span>=−35</span> and the rate of Ship B is expressed as <span><span><span>dB</span><span>dt</span></span>=25</span>

Step 2: We want to figure out how many km Ship A and Ship B traveled in 4 hours

<span>ShipA:−35<span><span>km</span>h</span>⋅4hr=−140km</span>

Now if we take this <span>−140km</span> and add it to the <span>150km</span> we can see that Ship A is now only <span>10km</span> away from where Ship B began

<span>ShipB:25<span><span>km</span>h</span>⋅4hr=100km</span>

This means that Ship B is now <span>100km</span> from where it originally started

We can now redraw our information

Step 3: We must use the Pythagorean Theorem to find the third side of the triangle

<span><span>x2</span>+<span>y2</span>=<span>z2</span>→<span>102</span>+<span>1002</span>=<span>z2</span></span>

<span>z=<span>√<span><span>102</span>+<span>1002</span></span></span></span>

Step 4: Now that we know z, we must differentiate the original equation in order to find the rate at which z in changing

<span><span>x2</span>+<span>y2</span>=<span>z2</span>→2x<span><span>dx</span><span>dt</span></span>+2y<span><span>dy</span><span>dt</span></span>=2z<span><span>dz</span><span>dt</span></span></span>

We can simplify by canceling out the 2's

<span>x<span><span>dx</span><span>dt</span></span>+y<span><span>dy</span><span>dt</span></span>=z<span><span>dz</span><span>dt</span></span></span>

Step 5: Write down all the information and then plug into equation

<span>x=10and<span><span>dx</span><span>dt</span></span>=−35</span>
<span>y=100and<span><span>dy</span><span>dt</span></span>=25</span>
<span>z=<span>√<span><span>102</span>+<span>1002</span></span></span>and<span><span>dz</span><span>dt</span></span>=?</span>

Now plug in the information

<span>x<span><span>dx</span><span>dt</span></span>+y<span><span>dy</span><span>dt</span></span>=z<span><span>dz</span><span>dt</span></span></span>

<span>10<span>(−35)</span>+100<span>(25)</span>=<span>√<span><span>102</span>+<span>1002</span></span></span><span><span>dz</span><span>dt</span></span></span>

<span>−350+2500=<span>√<span><span>102</span>+<span>1002</span></span></span><span><span>dz</span><span>dt</span></span></span>

<span>2150=<span>√<span><span>102</span>+<span>1002</span></span></span><span><span>dz</span><span>dt</span></span></span>

<span>21.393=<span><span>dz</span><span>dt</span></span></span>

The distance between the ships are increasing at a rate of 21.393 km/h

8 0
2 years ago
What is the answer to the q
satela [25.4K]

Answer:

starting from (0,0),go to the 6 units and up 1

Step-by-step explanation:

5 0
3 years ago
PUT THESE NUMBERS IN ORDER GREATEST TO LEAST ✔✔ I WILL ADD BRAINLIST
Fiesta28 [93]

Answer:

2 12/16, 2 18/25, and lastly 2.

Step-by-step explanation:

Since 2 is least, we can put that at the end. That leaves us with 2 18/25 and 2 12/16. Since 12/16 is greater, we will put that as the greatest. 2 18/25 is in the middle. Hope this helps!

6 0
3 years ago
Which statement is NOT true about Rational Numbers? *
serg [7]

Answer:

Integers, Whole Numbers, and Natural Numbers are Rational Numbers

Step-by-step explanation:

Hope it helps :3

3 0
2 years ago
9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of
IceJOKER [234]

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

A = P(1 + \frac{r}{n})^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

Learn more about Compound Interest:

brainly.com/question/25857212

#SPJ1

5 0
2 years ago
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