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Lena [83]
2 years ago
6

What is the side length of the image if the apothem is 8.3 feet and the area is

Mathematics
1 answer:
dimaraw [331]2 years ago
5 0

keeping in mind that regular polygon has 12 sides

\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ans~~ \begin{cases} a=apothem\\ n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ A=214.14\\ a=8.3\\ n=12 \end{cases}\implies 214.14=\cfrac{1}{2}(8.3)(12)s \\\\\\ 214.14=49.8s\implies \cfrac{214.14}{49.8}=s\implies 4.3=s

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Thee questionn is beloww
Phantasy [73]

Given:

m\angle ABC=60

To find:

The m\angle ADC.

Solution:

In circle B, \angle ABC is central angle and \angle ADC is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

m\angle ABC=2(m\angle ADC)         [Central angle theorem]

60=2(m\angle ADC)

Divide both sides by 2.

\dfrac{60}{2}=m\angle ADC

30=m\angle ADC

Therefore, m\angle ADC=30.

6 0
3 years ago
Solve for X<br><br> -3 (2x + 6) = 12<br><br> pls help <br> im ready to got bed<br> lol
kramer

Answer:

x=-5 Hope this helped! Goodnight!

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(2x+6)=12

Step 1: Simplify both sides of the equation.

−3(2x+6)=12

(−3)(2x)+(−3)(6)=12(Distribute)

−6x+−18=12

−6x−18=12

Step 2: Add 18 to both sides.

−6x−18+18=12+18

−6x=30

Step 3: Divide both sides by -6.

−6x /−6 = 30 /−6

x=-5

6 0
3 years ago
Read 2 more answers
I need help and a explanation please
Zanzabum

Answer:

$6.48

Step-by-step explanation:

It would be $6.48 because 1.60 times 4 1/2 is 7.2 and if you do 10% of 7.2 you get B.

3 0
3 years ago
If 20 divided by 5 = 4 <br> Then 20 divided by 5.5=4.?
ahrayia [7]

Answer:

no

Step-by-step explanation:

20 divided by 5.5 is a decimal 3.63

3 0
3 years ago
CAN SOMEONE PLS TELL ME DOMAIN AND RANGE
lorasvet [3.4K]

Answers:

  • Domain is (-4, 3]
  • Range is (-5, 5]

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

Explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that -4 < x \le 3. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval -4 < x \le 3 then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

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

The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is -5 < y \le 5. This condenses into the shorthand of (-5, 5] which is the range in interval notation.

Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.

5 0
3 years ago
Read 2 more answers
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