All categories

4 years ago

What is the surface area

Mathematics

1 answer:

klasskru [66]4 years ago

7 0

If you notice the picture below

the hexagonal pyramid, is really just a hexagon at the bottom, 6 sides,
and 6 triangles stacked up to each other at the edges

so.. just get the area of the hexagon and the triangles, and add them up, that'd be the surface area of the pyramid

a triangle's area, you'd know is just 1/2 bh, and you have both of those there

now, for the hexagon, notice, we're given the length from the center to one of the sides, namely the "apothem"

thus $\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{2}\cdot an\cdot s\qquad 
\begin{cases}
a=apothem\\
n=\textit{number of sides}\\
s=\textit{length of one side}\\
----------\\
n=6\\
s=22\\
a=11\sqrt{3}
\end{cases}$

You might be interested in

What is the value of the x variable in the solution to the following system of equations?

satela [25.4K]

Let's use the addition/subtraction method.

Suppose we wish to eliminate variable x.

Mult the first eqn by 5: 10x - 15y = 15
Mult the 2nd eqn by -2: -10x+ 4y = -8

Add these two equations together: -11y = 7, and y = -7/11.

Subst. -7/11 for y in either given equation and find x.

Then your solution is (x,y) (subst. the values we've found for x and y).

4 0

4 years ago

Simplify this expression: cos theta/ tan theta cot theta

Dmitry_Shevchenko [17]

Q: $\frac{cos\theta}{tan\theta.cot\theta}=?$

A:

$\frac{cos\theta}{tan\theta.cot\theta}=cos\theta$

because... $tan\theta.cot\theta=1$
*********************************************************
Q: $\frac{cos\theta}{tan\theta}.cot\theta=?$

A:

$\frac{cos\theta}{tan\theta}.cot\theta&= \\ \\ \frac{cos\theta}{\frac{sin\theta}{cos\theta}}.\frac{cos\theta}{sin\theta}&= \\ \\ \frac{cos^2\theta}{sin\theta}}.\frac{cos\theta}{sin\theta}&= \\ \\ \frac{cos^3\theta}{sin^2\theta}}&= cos^3\theta.cosec^2\theta$

5 0

4 years ago

Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat

Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.

$H_{0}: \mu \leq 60\\H_A: \mu > 60$

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0

4 years ago

Can someone help me pleaseeee !!

Arturiano [62]

Answer:

5g/cm³

Step-by-step explanation:

3 0

3 years ago

What is 200000-56330

Shtirlitz [24]

Answer:

143670

Step-by-step explanation:

200000

- 56330

_________

143670

6 0

3 years ago