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3 years ago

How many way can 4 people line up out of 20?

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

7 0

Answer:

Step-by-step explanation:

To do this problem you multiply 20x4 and that answer is 80.

Pani-rosa [81]3 years ago

3 0

Answer:

Step-by-step explanation:

20 x 4 = 80

You might be interested in

Find the diameter of a circle whose equation is

Olin [163]

Answer:

D) 20

Step-by-step explanation:

x^2 + (y - 2)^2=100

This can be rewritten as

(x-0)^2 + (y - 2)^2=10^2

This is in the form

(x-h)^2 + (y - k)^2=r^2

The radius is 10

The diameter is 2 times the radius

d = 2*r = 2*10 = 20

7 0

3 years ago

Please find the value of x

Margarita [4]

Answer:

x=5

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

The box is a right angle which is 90 degrees

60+6x+90 = 180

Combine like terms

150+6x= 180

Subtract 150 from each side

150-150+6x = 180-150

6x = 30

Divide by 6

6x/6 =30/6

x = 5

5 0

3 years ago

11/ 42 Marks

amm1812

Answer:

(a)x=128 degrees

(b) $\angle APD\neq 116^\circ$

Step-by-step explanation:

$\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ$

(a) Now:

$\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ$

(b)

$\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ$

$\angle APD\neq 116^\circ$

7 0

3 years ago

The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d

Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

$2P_o=P_o(1+0.08)^t$

Simplifying:

$2=(1.08)^t$

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

8 0

3 years ago

A house is selling for $750,000. The real estate agent will earn a 6% commission on the sale of this house. How much commission

melisa1 [442]

6% of 750,000....turn percent to a decimal, " of " means multiply

0.06 * 750,000 = 45,000 <==

3 0

3 years ago