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3 years ago

What is the probability of getting an odd number and a 4 sided shape on the spinner?

Mathematics

2 answers:

-Dominant- [34]3 years ago

4 0

Answer:

Step-by-step explanation:

3 odd numbers x 2 4-sided shapes = 6

tiny-mole [99]3 years ago

3 0

6! is your answer have a great day!

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Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

$A = \frac{18}{\sqrt{3}} * 36$

$A = \frac{640}{\sqrt{3}}$

Turning into a decimal:

$A = 374.123 ft ^2$

8 0

3 years ago

The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. F

Burka [1]

Answer:

The numbers are 44 and 46

Step-by-step explanation:

Let

x, x+2 ----> the two consecutive positive even integers

we know that

$(x+x+2)^{2} =4,048+x^{2} +(x+2)^{2} \\ \\(2x+2)^{2} =4,048+x^{2} +x^{2}+4x+4\\ \\4x^{2}+8x+4=2x^{2}+4x+4,052\\ \\2x^{2} +4x-4,048=0$

Solve the quadratic equation using a graphing calculator

The solution is x=44

see the attached figure

$x+2=44+2=46$

therefore

The numbers are 44 and 46

4 0

3 years ago

Part of Ariana's earnings are based on a 5% commission rate at the end Of the day Ariana earns $14.98 in commissions how much di

horsena [70]

Answer:

$0.75

Step-by-step explanation:

To find the answer multiply the amount of money earned by the percentage $14.98 and 5%

turn the percentage into a decimal. divide the number of the percentage by 100 5/100=0.05

multiply this by the amount of money to get 0.05*14.98=0.749. then round answer to two decimal places to get $0.75

3 0

3 years ago

Read 2 more answers

What type(s) of symmetry does the figure have?

Troyanec [42]

Answer:

both points and rotational only

4 0

3 years ago

Read 2 more answers

ΟΑ. -642 Ο Ο Β. 162 C. 1672 Ο Ο D. 642 O Ε. -162

hjlf

Answer: With the equation being negative you would multiply it to most likely get a positive if Z is Negative. If Z is a positive but also a higher number the equation is defenitly positive. I dont know the exact answer do to the fact that you didint show the whole question.

4 0

3 years ago