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Lapatulllka [165]
3 years ago
5

If the perimeter of the polygon is 42, AB = ______?

Mathematics
2 answers:
Simora [160]3 years ago
6 0

Answer:

7

Step-by-step explanation:

Total sides = 6 *hexagon* (6 sided shape)

Divide the total perimeter by the many number of sides:

42(total) divided by 6(6 sides in total) = 7.

Therefore AB is 7

Slav-nsk [51]3 years ago
4 0

Answer:

AB = 7

Step-by-step explanation:

The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.

Perimeter = 6 x length of one side

If you plug everything you know in the equation, you would get...

42 = 6 x length of one side

42 ÷ 6 = 7

So, 7 is the length of AB, since in a hexagon, all sides are the same length.

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Four consecutive integers that add up to 314
AnnyKZ [126]
77+78+79+80=314 Is Your Answer
7 0
3 years ago
Which equation represents an exponential function that passes through the point (2, 36)?
sesenic [268]

Answer:

The exponential function that passes through (2,36) is:

f(x)=4\times 3^x.

Step-by-step explanation:

We are asked to find which function passes through the point (2,36).

i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.

1)

f(x)=4\times 3^x

now we put x=2.

f(2)=4\times 3^2\\\\f(2)=4\times 9\\\\f(2)=36

hence option 1 is correct.

2)

f(x)=4\times x^3

Now we put x=2.

f(2)=4\times 2^3\\\\f(2)=4\times 8\\\\f(2)=32

Hence, option 2 is incorrect.

3)

f(x)=6\times 3^x

Now we put x=2

f(2)=6\times 3^2\\\\f(2)=6\times 9\\\\f(x)=54

Hence, option 3 is incorrect.

4)

f(x)=6\times x^3

Now we put x=2.

f(2)=6\times 2^3\\\\f(2)=6\times 8\\\\f(2)=48

Hence, option 4 is incorrect.

Hence, option 1) is correct.

i.e. The exponential function that passes through (2,36) is:

f(x)=4\times 3^x

6 0
3 years ago
Read 2 more answers
What are measures of dispersion?
Alex_Xolod [135]
It is the extent to which a distribution is stretched
4 0
3 years ago
I need help asap!!!
gizmo_the_mogwai [7]

Answer:

x = 9

Step-by-step explanation:

-5(1 + 1x) = -50

-5 + -5x = -50

-5 + -5x + 5 = -5x

-50 + 5 = -45

-5x = -45

-5x / -5 = x

-45 / -5 = 9

x = 9

5 0
3 years ago
A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
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