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Rama09 [41]
3 years ago
7

A regular octagon with side length a cm can be made by cutting off

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Answer:

one side = \frac{a\sqrt{2}}{2}

Step-by-step explanation:

if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.

Let's say TP = a

since it's a regular octagon, TP = HT

and using the Pythagoras Theorem,  we know a² + b² = c² and thus:

√(AT² + HA²) = HT

and since AT = HA which we will call x, the equation becomes:

√(2x²) = HT = a

rearrange the equation to solve for x and you get:

2x² = a²

x² = \frac{a^{2} }{2}

x = \frac{a}{\sqrt{2}}

which, if you rationalise the denominator, you get:

x = \frac{a\sqrt{2}}{2}

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Answer:

2

Step-by-step explanation:

the rate of change is measured as

\frac{f(b) - f(a)}{b-a} in the closed interval [ a, b ]

here [a, b ] = [- 4, 1 ]

f(b) = f(1) = 2 + 4 = 6

f(a) = f(- 4) = - 8 + 4 = - 4

average rate of change = \frac{6-(-4)}{1-(-4)} = \frac{10}{5} = 2

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3 years ago
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134 A financial analyst believes that if interest rates decrease in a given period then the
lawyer [7]

The probability that the market will go up and interest rate will go down during the period in question is 0.03.

<h3>What is the probability?</h3>

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the market will go up and interest rate will go down  = 0.08 X 0.40 = 0.03

To learn more about probability, please check: brainly.com/question/13234031

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2 years ago
Ashley and Kristin are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls
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The cost of one roll of plain wrapping paper is $5 and one roll of shiny wrapping paper costs $16.

Step-by-step explanation:

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4x + 3y = 68, take this as equation 1.

9x + 2y = 77, take this as equation 2

Step 2; We multiply equation 1 with 2 and equation 2 with 3 so we can cancel out the variable y in both equations. By doing this we get

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If we subtract 4 from 3, we cancel out the y variable and can calculate the value of x.

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Step 3; Substituting this value of x in any of the previous equations we will get x's value. Here this value of y is substituted in equation 1.

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So we have x = $5 and y = $16.

5 0
3 years ago
how to write a whole number as a fraction with the denominator of 1. help my sister she is in 3 grade and she help and our mom s
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