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2 years ago

Question is attached

Mathematics

1 answer:

rodikova [14]2 years ago

8 0

9514 1404 393

Answer:

x = 12

perimeter = 124

Step-by-step explanation:

The midline RS is half the length of MN, so we have ...

2×RS = MN

2(x +3) = 5x -30

2x +6 = 5x -30

36 = 3x . . . . . . . . . add 30-2x

12 = x . . . . . . . . . . divide by 3

The length RS is then ...

RS = x +3 = 15

and the perimeter of QRS is ...

P(QRS) = QR +RS +SQ = 25 +15 +22 = 62

The perimeter of QRS is half the perimeter of MNP, so ...

P(MNP) = 2×P(QRS) = 2×62 = 124

The perimeter of ΔMNP = 124.

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The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

f'(t) is negative

The unit is degC/min

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

5 0

3 years ago

Answer the following questions:

timama [110]

Answer:

Question 1: 76 dollars. ($76)

2. 1/5

3. 1/19

4. 1/5

Step-by-step explanation:

QUESTION 1:

228 (the amount Mrs. Nicci had) divided by 3 (children) is equal to 76

228/3 = 76

QUESTIONS 2, 3, AND 4.

2. Find the greatest common divisor (GCD). the GCD of 14 and 70 is 14. Then, divide the numerator and denominator by 14.

14/14 = 1

70/14 = 5

WHICH EQUALS 1/5!!

3. Find the greatest common divisor (GCD). the GCD of 5 and 95 is 5. Divide both the numerator and denominator by 5.

5/5= 1

95/5= 19

WHICH EQUALS 1/19!!

4. Find the greatest common divisor (GCD). the GCD of 12 and 60 is 12. So (like we have been doing for the whole part of this question), divide both the numerator and denominator by 12, which is the GCD.

12/12 = 1

60/12 = 5

WHICH EQUALS 1/5!!

Hope this helped.. I think this is like one of the longest Brainly answers I've recently had to type lol

4 0

3 years ago

What is the amswer to -4k-2(k-3)=-6k+8

SashulF [63]

Answer:

k = 1/2

Step-by-step explanation:

-4k-2(k)-2(-3)=-6k+8

-4k-2k+6=-6k+8

-2k+6=-6k+8

4k+6=8

4k=2

4k/4= 2/4

k=1/2

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3 years ago

What is the area of the 3.1 by 1.4 rectangle?

uranmaximum [27]

Answer: 4.34

Step-by-step explanation:

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3 years ago

Last fall, a middle school took a group of students on a trip to Space Camp, which is 360 miles away. The bus that they took to

mezya [45]

Answer:

The bus travelled 60 miles in 1 hour.

Step-by-step explanation:

To solve this problem we need to calculate the average speed at which the bus travelled. This is given by the distance travelled divided by the time that they took to get there. So we have:

average speed = distance/time

average speed = 360/6

average speed = 60 miles/h

Therefore in 1 hour they travelled 60 miles.

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3 years ago