In the figure below, ∠APE and ∠EPD are congruent.

find the surface area of a right regular hexagonal pyramid with sides 3 cm and slant heights 6cm. show all of your work.

DedPeter [7]

Answer:

The surface area of right regular hexagonal pyramid = 82.222 cm³

Step-by-step explanation:

Given as , for regular hexagonal pyramid :

The of base side = 3 cm

The slant heights = 6 cm

Now ,

The surface area of right regular hexagonal pyramid = $\frac{3\sqrt{3}}{2}\times a^{2} + 3 a \sqrt{h^{2}+ 3\times \frac{a^{2}}{4}}$

Where a is the base side

And h is the slant height

So, The surface area of right regular hexagonal pyramid = $\frac{3\sqrt{3}}{2}\times 3^{2} + 3 \times 3 \sqrt{6^{2}+ 3\times \frac{3^{2}}{4}}$

Or, The surface area of right regular hexagonal pyramid = $\frac{3\sqrt{3}}{2}\times 9 + 9 \sqrt{36+ 3\times \frac{9}{4}}$

Or, The surface area of right regular hexagonal pyramid = 23.38 + 9 × $\frac{171}{4}$

∴ The surface area of right regular hexagonal pyramid = 23.38 + 9 × 6.538

I.e The surface area of right regular hexagonal pyramid = 23.38 + 58.842

So, The surface area of right regular hexagonal pyramid = 82.222 cm³ Answer

6 0

2 years ago

Jesse surveyed 3/4 of the students at her school. Of those surveyed, 2/3 participate in school club or sports team. According to

OLga [1]

3/4 * 2/3 = > 6/12 ; Then you simplify it and the answer will be 1/2. Therefore the fraction of the students who participated in a school club/sports team is 1/2.

8 0

2 years ago

Read 2 more answers

The stock of Company A gained 5.25% today to $21.05. What was the opening price of the stock in the beginning of the day?

zlopas [31]

Answer:

$20

Step-by-step explanation:

Easy formula for these problems is new price divided by change in percent as decimal with 1 at begining. So for this problem it is 21.05/1.0525. You can then test your answer by muliply you answer by 1.0525.

8 0

2 years ago

Read 2 more answers

Need help with this question

Andreas93 [3]

The Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

<h3>What is a conic section?</h3>

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (circle is a special of type of ellipse).

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the graph:

a) The domain: all values of x

The range: all values of y

Except: Values at asymptotes are excluded.

Domain = (-∞, -2) U (-2, 2) U (2, ∞)

Range = (-∞, -2) U [-1, ∞)

b)

x-intercept = (-1.5, 0), (1.5, 0)

y-intercept = (0, -1)

c) Horiznotal asymptotes: y = -2

d)Vetical asymptotes: x = -2, x = 2

e) Oblique asymptotes: There is no oblique asymptotes

Thus, the Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

Learn more about the conic section here:

brainly.com/question/8412465

#SPJ1

7 0

1 year ago

According to the graph what is the value of the constant in the equation below?<br> Answer:0.5

worty [1.4K]

Constant=2 you can try this method with the other points

6 0

2 years ago