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3 years ago

How to find the area of a heptagon?

1 answer:

5 0

Regular heptagonSolve for area

A= 7/4 x a^2 x cot(180 degrees/7)

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You might be interested in

What is true when the plane is 100 meters away from takeoff? Check all that apply. The given information is the SSS case. The gi

givi [52]

Two triangle are congruent when the shape and size of both the triangle are same. The given information is the SAS case.

To find the form of the case we need to know about the triangle congruence theorem.

<h3>What is triangle congruence theorem?</h3>

Two triangle are congruent when the shape and size of both the triangle are same.

Triangle congruence theorem are-

Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.

Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent.

Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.

Given information-

Evelyn is 104 meters from the take off.

The angle of elevation of the plane is 12°.

The plane is 100 meters away from the takeoff point.

The distance is 100 meters and 104 meters. The other two sides , as are same and the angle of elevation is also same for this case (12 degrees).

Thus the two triangle formed which are congruent.

As above discussed the case of SAS exists for the triangle congruence theorem.

Hence the given information is the SAS case.

Learn more about the triangle congruence theorem here;

brainly.com/question/19258025

4 0

2 years ago

Read 2 more answers

From the set {7, 15, 18), which of the values can be substituted for c to make the

Aneli [31]

Answer:

D. 15

Step-by-step explanation:

90 - 30 = 60

2 • 15 = 30

the answer is 15

8 0

3 years ago

PLEASE HELP I WILL MARK YOU AS BRAINLEST

denpristay [2]

Answer:

(i) Five number summary: Minimum value = 1, $Q_1=18$ , $Median=18.5$ , $Q_3=20.5$ , Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

$Q_1=\frac{18+18}{2}=18$

$Median=Q_2=\frac{18+19}{2}=18.5$

$Q_3=\frac{20+21}{2}=20.5$

Maximum value = 26

The inter quartile range (IQR) of the data is

$IQR=Q_3-Q_1=20.5-18=2.5$

Upper fence :

$Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25$

Lower fence :

$Q_1-1.5(IQR)=18-1.5(2.5)=14.25$

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

4 0

3 years ago

Read 2 more answers

Jack and Jim sign up with an online music store. Jack chooses 15 downloads for $19.75, and Jim chooses 40 downloads for $43.50.

lina2011 [118]

The answer would be A. The registration fee is $5.50, and the cost per download is $0.95.

Solution
Let x = registration fee
y = cost/downloads

Jack
15y + x = 19.75 ; x = 19.75 - 15y
Jim
40y + x = 43.50

Thus,
40y + x = 43.50
40y + 19.75 - 15y = 43.50
25y = 23.75
y= 0.95

for x,
x = 19.75 - 15y
x = 19.75 - 15( 0.95)
x= 19.75 -14.25
x = 5.5

3 0

4 years ago

At the fair, Kate found a strange machine with a sign on it labeled, "Enter a number." When she pushed the

Elanso [62]

Answer:

it reduce the number by 6 mark me brainlist

7 0

3 years ago