All categories

3 years ago

Find the lateral area the regular pyramid. (50 points)

Mathematics

1 answer:

babymother [125]3 years ago

5 0

Answer:

The lateral area the regular pyramid = 18√91 square units

Step-by-step explanation:

It is given a regular hexagon.

From the figure we get the base edge of the pyramid is 6 units

(Since the base of pyramid is regular hexagon

To find the lateral edge

Lateral edge is the hypotenuse of triangle with base = 6 and height = 8

Lateral edge =√(8² + 6²) = √100 = 10

To find the slant height

Slant height is the height of triangle with,

base = 6/2 = 3 and hypotenuse = 10

Slant height = √(10² - 3²) = √(100 - 9) = √91

To find the area of single face

Area = bh/2

b = 6 and h = √91

Area = (6 * √91)/2 = 3√91

To find the lateral area of pyramid

Lateral area = 6*face area = 6*3√91 = 18√91 square units

You might be interested in

On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred seventy-five were under 30 years o

Grace [21]

Answer:

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

Step-by-step explanation:

Given :

Sample, size n = 500

A = driver is under the influence of alcohol :

Y = driver is less than 30 years old

P(A) = 275 / 500 = 0.55

P(Y) = 375 / 500 = 0.75

P(AnY) = 225 / 500 = 0.45

P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

To determine if it is mutually exclusive : P(AnY) = 0

P(AnY) = 0.45 ; hence, it is not mutually exclusive

For A and Y to be independent ; P(A|Y) = P(A) ;

P(A|Y) = P(AnY) / P(Y)

P(A|Y) = 0.45 / 0.75 = 0.6

Hence, A and Y are not independent.

7 0

3 years ago

If a number n has exactly 7 divisors, how many divisors does n squared have?

Anna [14]

A number $n=p_1^{a_1}\cdot p_2^{a_2}\cdot\ldots\cdot p_k^{a_k}$ , where $p_k$ are distinct prime numbers, has $(a_1+1)(a_2+1)\cdot\ldots\cdot(a_k+1)$ divisors.

We know that $n$ has 7 divisors. 7 is a prime number, so among the numbers $a_1+1,a_2+1,\ldots,a_k+1$ there is only one that is equal to 7.

So,
$a_k+1=7\\
a_k=6$

That means $n=p^6$ where $p$ is a prime number.
$n^2=(p^6)^2=p^{12}$ , therefore the $n^2$ has $12+1=13$ divisors.

4 0

3 years ago

Given the function f(x) = 2x − 1 and the linear function g(x), which function has a greater value when x = 3?

garik1379 [7]

Answer:

The function g(x) has a greater value when x = 3. The function g(x) will be 7 when x = 3 while the function f(x) is will be 5

Step-by-step explanation:

For the function f(x), when x = 3, you get the equation f(x) = 2(3) - 1. Two times three equals six, so the equation can be simplified to f(x) = 6 - 1. Six minus one equals five, so f(x) = 5 when x = 3.

For the function g(x), when x = 3, you get the equation g(x) = 4(3) - 5. Four times three equals 12, so the equation is now g(x) = 12 - 5. 12 minus five equals seven, so g(x) = 7 when x = 3.

Hope this helps :)

4 0

3 years ago

D = m/v solve for m

lora16 [44]

Answer:

m = dv

Step-by-step explanation:

$\\\\d=\frac{m}{v} \\\\\d*v=\frac{m}{v} *v\\dv=m$

What you just do is multiply v on both sides so m can be isolated.

8 0

3 years ago

Resolver la ecuación trigonometrica: Senx^2=Cosx^2-Senx

Arisa [49]

I would help but I don't speak your language do u speak English not being mean

8 0

4 years ago