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Diano4ka-milaya [45]
3 years ago
12

Find the perimeter.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

Answer:

7 1/3 inches

Step-by-step explanation:

2 (1 3/4 + 1 11/12)

9+11

3/4+11/12= -------------

12

20/12

=1 2/3+ 2

2(3 2/3)

= 7 1/3

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The perimeter of a certain soccer field is 310 m. The length is 65 m more than the width. What are the dimensions?
Dmitriy789 [7]

Answer:

50x105m

Step-by-step explanation:

310 (length of field) - 65-65= 200/4=50

Start with the perimeter subtract 65 twice because the length is on two sides.  Now the length and width will be equal so divide by 4.  Add 65 back because you subtracted it earlier.

3 0
3 years ago
A thermometer is taken from a room where the temperature is 20◦C to the
lord [1]

Answer:

a) T(2) = 8.265: at time t = 2 minutes the temperature will be 8.265 degress

b) 6 = T(3.55): the temperature will be 6 degrees at time t = 3.55 minutes.

Step-by-step explanation:

When dealing with temperature changes, it's best to work with Newton's Law of Cooling.

T(t) = T_s + Ce^{kt}

here:

T(t) : the temperature in the room.

T_s : ambient (or outdoor) temperature (that always remains constant, in our case: T_s = 5 )

C\,\text{and}\,k: are constants

Our conditions are provided:

1) T(0) = 20

2) T(1) = 12

using the first condition

T(0) = 5 + Ce^{k(0)}\\20 = 5 + C(1)\\C = 15

using the second condition:

T(1) = 5 + Ce^{k(1)}\\12 = 5 + Ce^{k}\\e^k = \dfrac{7}{C}

we can use our calculated value of C to find k

e^k = \dfrac{7}{15}\\k = \ln{(\dfrac{7}{15})}\\k = -0.7621

Finally we can put these constants back in the main equation:

T(t) = T_s + Ce^{kt}

T(t) = 5 + 15e^{-0.7621t} or T(t) = 5 + 15e^{\ln{(\frac{7}{15})t}

a) Reading after one more minute?

so it's asking:

T(2) = ?

T(2) = 5 + 15e^{\ln{(\frac{7}{15})(2)}}\\T(2) = \dfrac{124}{15} \approx 8.267

Hence, after one more minute the temperature of the room will be 8.267 degrees

b) When will it be 6 degrees?

T(t) = 6?

6 = 5 + 15e^{-0.7621t}\\\text{and solve for $t$}\\\\\dfrac{6-5}{15}=e^{\ln{(\frac{7}{15})}t}\\\ln{\left(\dfrac{1}{15}\right)} = \ln{\left(\dfrac{7}{15}\right)t}\\\ln{\left(\dfrac{1}{15}\right)} \div \ln{\left(\dfrac{7}{15}\right)} = t \approx 3.55\\

Hence at t = 3.55 minutes the temperature of the room will be 6 degrees.

8 0
3 years ago
Is the given value a solution of the inequality?<br> z + 2&gt; -4; z+ -8
frutty [35]

.

Step-by-step explanation:

4 0
3 years ago
on a scale drawing, 3 inches represents 50 miles. if a line segment between two point measured 7 inches, how many miles would it
Airida [17]

Answer:

It would represent 116.66666667

Step-by-step explanation:

3 inches= 50 miles

1 inch = 50/3 miles

7 inches = 50/3 × 7 miles

= 116.66666667 miles

4 0
3 years ago
PLEASE HURRY AND ANSWER!!!!!!!!!!
ICE Princess25 [194]

Answer:

-67% of 88 is -58.96

-23% of 294 is -67.62

-18% of 92 is -16.56

-8% of 458 is -36.64

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
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