In how many ways can a
president, vice president, and
treasurer be selected for a
club if the club has 40
members?
[?] ways
Note: „Pr =
(n-r)!
n!
PLEASE HELP

Answer:

[tex]\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0[/tex]

And we want to find sec(θ).

First, note that both sine and tangent are positive. The only quadrant in which this can occur is QI. Hence, all trig ratios will be positive.

Also, recall that sine is the ratio of the opposite side to the hypotenuse. Using this information and the Pythagorean Theorem, we can determine the adjacent side:

[tex]a=\sqrt{9^2-8^2}=\sqrt{17}[/tex]

So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

[tex]\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}[/tex]

Again, since θ is in QI, all trig ratios are positive.

Answer:

x = -7 or 7

Step-by-step explanation:

x² - 49 = 0

→ Factorise

( x + 7 ) ( x - 7 )

→ Solve

x = -7 or 7

Answer:

(x + 7) (x - 7) = 0

x + 7 = 0 and x - 7 = 0

So, x = +7 and -7

Hope this helps!

Answer:

240 million

Step-by-step explanation:

I took the application

Answer:

4

Step-by-step explanation:

You can divide both numbers by four and get an even answer

Answer:

4

Step-by-step explanation:

Answer: 9

Step-by-step explanation: h=2(A/a+b)=2(66.66/4.9+9.9)=9.01

Answer:

[tex]\huge\boxed{Option \ 4}[/tex]

Step-by-step explanation:

[tex]\displaystyle sin \theta = \frac{opposite }{hypotenuse}[/tex]

Where opposite = 55, hypotenuse = 73

[tex]\displaystyle sin R = \frac{55}{73} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

b. po

Step-by-step explanation:

that have been the most part I don't know y avg be yyyy I have a panda but the black on it and I have a panda but the black on

Answer:

D

Step-by-step explanation:

The military term most often used for retreat is withdraw. It means that some advanced position, the battle cannot be won or turned around. So you withdraw from the field.

A: advance. No you are doing the exact opposite of retreat.

B: attack. Same as A. You are leaving the field with retreat.

C: Surrender is an entirely different thing. It means that you have given up the field and are not willing to fight anymore.

D: answer

Answer:

ur answer is correct only

Step-by-step explanation:

mark me brainlist tq

Answer:

dependent events

Answer:

Around 0.40

Step-by-step explanation

If she doubles the gift every year, do 18x2=36, 36 rounds to 40 or 0.40.

The total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

Lets suppose the geometric sequence has its initial term is [tex]a[/tex], multiplication factor is  r, then, its sum is given as:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

The sequence would look like [tex]a, ar, \cdots, ar^{n-1},\cdots[/tex]

For this case, we are specified that:

That shows that the gift amounts each year will form a geometric sequence where a = 1, and r = 2 (as amounts are doubled).

The gift amounts would look like:

[tex]\\1, 2, 4, \cdots\\or\\1, 2\times 1, 2^2 \times 1, \cdots[/tex]

We have to find these terms' sum till 18th term(18th term is the gift of her 18th birthday).

Thus, we have: n = 18, a = 1, and r = 2.

The sum will be:

[tex]S_n = \dfrac{a(r^n-1)}{r-1} = \dfrac{1(2^{18}-1)}{2-1} = 2^{18} - 1 = 262143 \: \rm cents[/tex]

There are 100 cents in 1 dollars,

Thus, 1 cent = 0.01 dollars,

and thus, 262143 cents form 2621.43 dollars.

Thus, the total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

Learn more about sum of terms of geometric sequence here:

https://brainly.com/question/1607203

Answer:

the answer is d circumference

Answer: no possible triangles

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Let's make a table:

Term 1:     3 toothpicks

Term 2:     4 toothpicks

Term 3:     5 toothpicks

Term 4:     6 toothpicks

Term 5:     7 toothpicks

Term N = N + 2 toothpicks

Answer:

C

Step-by-step explanation:

1. The domain is the x-value of a function.

2. In that image, the x-values are the numbers on the left of each parenthesis.

3. You should put the domains in increasing order, so the final answer is -2, 0, 2, 4.

Answer:

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.

This means that [tex]\mu = 187, \sigma = 7.1[/tex]

Suppose that 12 individuals are randomly chosen.

This means that [tex]n = 12, s = \frac{7.1}{\sqrt{12}} = 2.05[/tex]

What is the distribution of ¯ x?

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

500/(2*(4.4*3.2+3.2*2+2*4.4)) = 8.5382513661

Answer:

11

Step-by-step explanation:

Answer:

ℎℎ ℎ

Step-by-step explanation:

ℎℎℎℎ ℎ ℎ

Answer:

12

Step-by-step explanation:

Inches÷12=Feet

Feet·12=Inches

Answer:

$7500

Step-by-step explanation:

I=PRT

=5,000×0.15×10

Answer:

C. Reflection over x- axis, down 6 right 3

Step-by-step explanation:

Answer: 99.06cm

Step-by-step explanation:

Note that 1 inch = 2.54cm

Therefore, we'll convert the sides of the frame in inches to cm. This will be:

8 1/2 inch = 8.5 × 2.54cm = 21.59cm

11inches = 11 × 2.54cm = 27.94cm

Therefore, the perimeter of a rectangle will be:

= 2(length + width)

= 2(27.94 + 21.59)

= 2(49.53)

= 99.06cm

Answer:

Step-by-step explanation:

Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1.

What  you can do with synthetic division you can do   with regular long division .But not the opposite

Answer:

B. 1

Step-by-step explanation:

17 is not greater than 18

17 is greater than 1

17 is equal to 17

17 is less than 39

Answer:

B.

Step-by-step explanation:

It only has one base and it's a pentagon. Therefore, it's a pentagonal pyramid.