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3 years ago

How many degrees in each side of an equilateral polygon with 6 sides?

1 answer:

8 0

If the total is 360 degrees then it will take 50 degrees each side. If the total is 180 degrees it would be 30 degrees each side

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On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24

Helen [10]

Answer:

30.06 degree Celsius at 4:00 PM.

Step-by-step explanation:

We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.

We will use Newton's law of cooling to solve our given problem.

$T(t)=M_0+(T_0-M_0)e^{-kt}$ , where

$T(t)$ = Temperature after t hours.

$M_0$ = Temperature of surrounding environment,

$k$ = Time constant.

$\frac{1}{k}=5\Rightarrow k=\frac{1}{5}$

Upon substituting our given values in Newton's cooling law, we will get:

$T(t)=35+(24-35)e^{-\frac{t}{5}}$

$T(t)=35-11e^{-\frac{t}{5}}$

To find the temperature at 4:00 pm, we will substitute $t=4$ in our formula as:

$T(4)=35-11e^{-\frac{4}{5}}$

$T(4)=35-\frac{11}{e^{\frac{4}{5}}}$

$T(4)=35-\frac{11}{2.2255409284924674}$

$T(4)=35-4.9426186052894379601$

$T(4)=30.05738139471$

$T(4)\approx 30.06$

Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.

5 0

3 years ago

Find the total cost. purchase price = $2615; tax rate = 3%

Lisa [10]

$2693.45

hope it helps

6 0

3 years ago

4(x-7) = 0.3 (x+2) +2.11 the solution of this equation

Setler79 [48]

<span>x=8+1/3.33333333333
hope this helped</span>

8 0

3 years ago

Read 2 more answers

A bolt listed as 2" × 1/4" NC-20 has a length of

valkas [14]

Answer:

Step-by-step explanation:

The length of the bolt is 2".

The diameter of the bolt is 1/4".

The pitch of the bolt is 20 threads per inch.

6 0

3 years ago

2. For f(x) = 2(x+3) - 5, name the type of function and describe each of the

Alexxandr [17]

Answer:

The function is a linear function

The function is translated 3 units to the left,then stretched vertically

by factor 2, then translated 5 units down

Step-by-step explanation:

* Lets revise some transformation

- If the function f(x) translated horizontally to the right

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

- If the function f(x) stretched vertically, then g(x) = k · f(x), where

k > 1 (multiplying each of its y-coordinates by k)

- If the function f(x) compressed vertically, then g(x) = k · f(x), where

0 < k < 1 (multiplying each of its y-coordinates by k)

* Now lets solve the problem

∵ f(x) = 2(x + 3) - 5

- The greatest power of the function is 1 (degree of the function)

∴ f(x) is linear function

- The parent function f(x) = x

∵ f(x) changed to f(x + 3)

∴ f(x) translated 3 units to the left

# Each x-coordinate of the points on the function subtracted by 3

∵ f(x + 3) changed to 2f(x + 3)

∵ 2 > 1

∴ f(x + 3) stretched vertically by factor 2 (k = 2)

# Each y-coordinate of the points on the function multiplied by 2

∵ 2f(x + 3) changed to 2f(x + 3) - 5

∴ 2f(x + 3) translated 5 units down

# Each y-coordinate of the points on the function subtracted by 5

7 0

3 years ago