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3 years ago

How do u find the area of a regular polygon? And can someone help me with question 2

Mathematics

1 answer:

Nonamiya [84]3 years ago

6 0

A regular polygon is equilateral (it has equal sides) and equiangular (it has equal angles). To find the area of a regular polygon, you use an apothem — a segment that joins the polygon's center to the midpoint of any side and that is perpendicular to that side (segment HM in the following figure is an apothem).

Hope this helps tho I cant help with #2 sorry

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Dr. Silas studies a culture of bacteria under a microscope. The function b(t)=50(1.4)^t represents the number of bacteria t hour

saul85 [17]

a) Remember that the y-intercept of a exponential function $f(x)=a^{x}$ is $f(0)$ , so the only thing to do to find the y-intercept in our functions is evaluate it at t=0:
$b(t)=50(1.4) ^{t}$
$b(0)=50(1.4)^{0}$
$b(0)=50(1)$
$b(0)=50$
We can conclude that the y-intercept of our function is (0,50), and it represents the initial bacteria population in the sample.

b) To find if the function is growing or decaying, we are going to convert its decimal part to a fraction. Then, we will compare the numerator and the denominator of the fraction. If the numerator is grater than the denominator, the function is growing; if the opposite is true, the function is decaying.
Remember that to convert a decimal into a fraction we are going to add the denominator 1 to our decimal and then we'll multiply both of them by a power of ten for each number after the decimal point:
$\frac{1.4}{1} . \frac{10}{10} = \frac{14}{10} = \frac{7}{5}$
Now we can rewrite our exponential function:
$b(t)=50( \frac{7}{5})^{t}$
Since the numerator is grater than the denominator, it is growing faster than the denominator; therefore the function is growing.

c) The only thing we need to do here is evaluate the function at t=5:
$b(t)=50(1.4)^{t}$
$b(5)=50(1.4)^{5}$
$b(5)=50(5.37824)$
$b(5)=268.912$

We can conclude that after 5 hours Dr. Silas began her study will be 268.9 bacteria in the sample.

4 0

3 years ago

An arithmetic sequence has this recursive formula:

ankoles [38]

Hello!

The recursive rule for an arithmetic sequence: $a_{n} = a_{n-1} + d$ .

The explicit rule for an arithmetic sequence: $a_{n}=a_{1} +d(n-1)$ .

$a_{n}$ is the value you are trying to find, or simply the answer. :)

$d$ is the common difference of the sequence.

$a_{1}$ is the first term of the sequence.

Given, $a_{1} = 8$ and $a_{n}=a_{n-1} - 6$ ...

The common difference is -6, and the first term is 8.

Plug these values into the explicit rule for an arithmetic sequence, you get:

$a_{n}=8+(-6)(n-1)$ .

Therefore, the answer is A, $a_{n}=8+(n-1)(-6)$ .

If you wondered why, $a_{n}=8+(-6)(n-1)$ is equal to $a_{n}=8+(n-1)(-6)$ , the Commutative Property of Multiplication states that when two numbers are multiplied together, the answer is the same regardless of the order of the numbers, which makes $a_{n}=8+(-6)(n-1)$ and $a_{n}=8+(n-1)(-6)$ equal to each other.

4 0

3 years ago

Read 2 more answers

I will mark brainiest if you answer ty also you can answer one of them or both tysm i will mark brainliest for both

rewona [7]

Step-by-step explanation:

a) The total cost C is given by

$C = \$60n + \$40$

b) If the total cost is $400, then we can solve for the number of hours as

$\$400 = \$60n + \$40 \Rightarrow \$360 = \$60n$

Solving for n, we get

$n = \dfrac{\$360}{\$60} = 6\:\text{hrs}$

5 0

2 years ago

A 20-foot tall flagpole is leaning towards a house. If the flagpole makes an 85 degree angle with the ground and the angle of el

PolarNik [594]

Answer:

Approximately, there is a distance of 25,6 foot between the base of the flagpole to the house.

Step-by-step explanation:

We are given the following in the question:

Height of pole = 20 foot

Angle between pole and ground = 85 degrees

Angle of elevation from the base of the house to the top of the pole = 55 degrees

Then, the third angle of the triangle can be found as:

Angle sum property of triangle: The sum of the three angles of a triangle is 180 degrees.

$x + 85 + 55 = 180\\x = 180 - 140\\x = 40^\circ$

Thus, by the sin rule, we can write:

$\dfrac{\text{Distance from the base of the flagpole to the house}}{\sin 55} = \dfrac{20}{\sin 40}\\\\\Rightarrow \text{Distance from the base of the flagpole to the house} = 20\times \dfrac{\sin 55}{\sin 40}\\\\=20\times \dfrac{0.82}{0.64} = 25.625$

Approximately, there is a distance of 25,6 foot between the base of the flagpole to the house.

4 0

3 years ago

Which of the following points is NOT a solution of the inequality y ≥ Ixl + 3?

omeli [17]

Hey there!

To solve this, we need to plug each of our answer options into the inequality and see if it is true. Which ever one doesn't make the inequality true when plugged in is the answer.

OPTION A

(x,y)=(-3,0)

We plug our values into the inequality.

0≥ I-3I+3

You may have noticed the bars surrounding the negative three.. If you didn't know, this is called absolute value. Absolute value is how far the number is from 0 on the number line. -7 is 7 away from 0 on a number line, so the absolute value of -7 is 7. The absolute value of 7 is 7. The absolute value of 0 is 0. Absolute value is signified by these bars. Le'ts finish evaluating.

0≥6

As you can see, zero is not greater than or equal to six. So, option A is false.

Since A is not a solution, we already know that that is the answer, so we don't even need to check B and C. But, we can still evaluate them if you want.

OPTION B

6≥I-3I+3

6≥6

This is true.

OPTION C

4≥I0I+3

4≥3

This is also true.

Therefore, the answer is A. (-3,0)

Have a wonderful day!

5 0

3 years ago