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2 years ago

GEOMETRY- FIND POLYGON AREA

Mathematics

1 answer:

Dvinal [7]2 years ago

5 0

Answer:

Step-by-step explanation:

The area of a regular polygon is

$A=\frac{1}{2}ap$ where a is the apothem and p is the perimeter. Perimeter is simple: just count the number of sides the polygon has and multiply it by 3 (the length of one side).

p = 3(9) is 27 inches for the perimeter.

We have what we need now to find the area:

$A=\frac{1}{2}(4.1)(27)$ and

$A=\frac{1}{2}( 110.7)$ so

A = 55.35 square inches

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The radius of a semicircle is 2 feet. What is the semicircle's diameter?

fomenos

Answer:

11/7 feet

Step-by-step explanation:

Perimeter of a circle = pi

Semicircle would be 1/2 of pi

1/2 × 22/7 × 1

You must divide by one to get the value of 1/2

11/7 is the answer

8 0

3 years ago

1+secA/sec A = sin^2 A / 1-cos A

Fofino [41]

Answer: see proof below

<u>Step-by-step explanation:</u>

$\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}$

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

$\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}$

$\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}$

$\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}$

$\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}$

$\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}$

$\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark$

3 0

4 years ago

Rewrite the following quadratic fiction in vertex form. Then, determine if it has a maximum or minimum and say what that value i

hram777 [196]

First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form

maximum=(3,14)

5 0

4 years ago

The table and scatter plot below show the number of hits and runs Tyler's baseball team got in each of 12 tournament games.

agasfer [191]

The correct statements are:

There is a positive linear equation between the number of hits and the scores
The point (7,13) is an outlier.
If the trend continues, for a game when Tyler's team gets 20 hits, the number of runs scored would be greater than 10 hits.

<h3>What are the correct statements?</h3>

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. On a trend line, an outlier would be far from the trendline.

A positive linear relationship is when as one of the variables increase, the other variable also increases and the trendline is a straight line that is upward sloping.

To learn more about outliers, please check: brainly.com/question/27197311

#SPJ1

3 0

3 years ago

Which represents a function

Montano1993 [528]

You have to look at the x if not repeated that’s function

4 0

3 years ago