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pshichka [43]
3 years ago
14

Find the measure of an interior angle and an exterior angle of a regular octagon

Mathematics
1 answer:
garik1379 [7]3 years ago
7 0
Since the pentagon is a regular<span> pentagon, the </span>measure<span> of each </span>interior angle<span> will be the same. To </span>find<span> the size of each </span>angle<span>, divide the sum, 540º, by the number of </span>angles in<span> the pentagon. (which is the same as the number of sides). There are 108° in each </span>interior angle of a regular<span> pentagon.</span>
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which is a shrink of an exponential growth function? a. f(x) = 1/3(3)^x b. f(x) = 3(3)^x c. f(x) = 1/3(1/3)^x d. f(x) = 3(1/3)^x
Gnesinka [82]

Answer: option a.

f(x)=\frac{1}{3} (3)^x


Explanation:


A <em>shrink</em> of a function is a <em>shrink</em> on the vertical direction. It means that for a certain value of x, the new function will have a lower value, in the intervals where the function is positive, or a higher value, in those intervals where the function is negative. This is, the image of the new function is shortened in the vertical direction.


That is the reason behind the rule:

  • given f(x), the graph of the function a×f(x), when a > 1, represents a vertical stretch of f(x),
  • given f(x), the graph of the function a×f(x), when a < 1, represents a vertical shrink of f(x).

So, we just must apply the rule: to find a shrink of an exponential growth function, multiply the original function by a scale factor less than 1.


Since it <em>is a shrink of</em> <em>an exponential growth function</em>, the base must be greater than 1. Among the options, the functions that meet that conditon are a and b:


a. f(x)=\frac{1}{3} (3)^x \\ \\ b.f(x) = 3(3)^x


Now, following the rule it is the function with the fraction (1/3) in front of the exponential part which represents a <em>shrink of an exponential function</em>.

8 0
3 years ago
Read 2 more answers
Which equation can be used to find the volume of the cylinder?
Likurg_2 [28]
V = pi (6) squared (8)

Explanation: The formula for finding the volume of a cylinder is V = pi (radius) squared (height) so you just fill in the numbers and boom
8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!<br> also, show all work<br> Thank you:)
barxatty [35]

Problem 1

<h3>Answer:  104 cubic inches</h3>

----------------------

Explanation:

The prisms are similar so they have the same shape, but different sizes.

The linear scale factor from small to large is:

large/small = 10/4 = 2.5

Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism

4*2.5 = 10

This linear scale factor is then cubed to get the volume scale factor

(2.5)^3 = 15.625

Which tells us:

larger volume = 15.625*(smaller volume)

smaller volume = (larger volume)/15.625

smaller volume = (1625)/15.625

smaller volume = 104 cubic inches

========================================================

Problem 2

<h3>Answer:  650 square inches</h3>

----------------------

Explanation:

We will go back to the linear scale factor of 2.5

This time, we square it to get (2.5)^2 = 6.25

This is the surface area scale factor.

larger surface area = 6.25*(smaller surface area)

larger surface area = 6.25*(104)

larger surface area = 650 square inches

4 0
2 years ago
Pls helppp due soon!!
FrozenT [24]

Answer:

I think the answer is B

Step-by-step explanation:

Sorry if it's wrong

4 0
3 years ago
Read 2 more answers
The product of a fraction and its multiplicative inverse is 1. True or False. Explain
natima [27]
True.....I am not really good at explaining, but I would try. for any fraction , if it is multiplied by it inverse it equals to one because they end up crossing out. example: 3/4 ×4/3=1
6/23×23/6=1
8 0
3 years ago
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