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Kitty [74]
3 years ago
8

A plot of land is in the shape of a triangle. If one side is x meters, a second side is (5x - 2) meters and a third side is (7x-

3) meters, express the perimeter of the lot as a simplified expression in x.

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Hey there! I'm happy to help!

The perimeter is the distance around a shape. Let's add up the lengths of our sides to ind it.

x+5x-2+7x-3

We combine all of the x values.

x+5x+7x=13x

And all of the constants.

-2-3=-5

Therefore, the perimeter is 13x-5.

Have a wonderful day! :D

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Is 42/7 a rational or natural number
Brilliant_brown [7]

Answer: rational

Step-by-step explanation:

-6 can be written as such an infinite number of ways (just as any rational can be). For example, -6/1, 6/-1, 12/-2, -666/111 and so indeed -6 is rational.

5 0
3 years ago
Read 2 more answers
A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati
I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

\frac{dT}{dt}=k*(T_r-T)

If we rearrange and integrate

\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}

We know that at time 0, the temperature of the drink was 52°F. Then we have:

T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20

We also know that at t=2, T=55°F

T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

7 0
4 years ago
70°<br> 13<br> ४<br> c=<br> 12.2<br> x<br> A
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Answer:

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\sin(70)  \times x = 13

x = 13 \times  \sin(70)

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13.8

6 0
3 years ago
(40 POINTS FOR EVERYTHING)
neonofarm [45]

Answer:

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2. x = -18

3. x = -13

4. x = 11

5. x = 19

6. v = 3

7. n = 208

8. b = -1

Step-by-step explanation:

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3 years ago
Find the median of the data set: 3, 7, 3, 2, 7, 9.<br><br> A: 7 <br> B: 5<br> C: 5.3<br> D: 3
harina [27]

To find the median, you order the numbers from least to greatest, then find the middle number.

3,7,3,2,7,9

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There are two middle numbers, so we have to find the middle of the two.

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5 is the median, so the answer is B.

---

hope it helps

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3 years ago
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