The circumference of a circle is 25.12 cm. What is the area of the circle? (Use 3.14 for π)

Galactic Rotation Speed. We are located about 27,000 light-years from the galactic center and we orbit the center about once eve

Alexxandr [17]

Answer:

speed = 796142.197 km/hr

Step-by-step explanation:

solution

we consider here orbit around galactic center is circular so

circumference formula will be here

circumference C = 2πr ........1

here we know r = 27000

so

circumference C = 2 π × 27000

C = 169560 light year

so

we travel 169560 light year in 230000000 years

so distance will be

distance = $\frac{169560}{230000000}$

distance = 0.00073721 light year/year

and we know 1 year = 8760 hours

so 1 light year = 9.46027 × $10^{12}$ km

so

sped of moving is

speed = 0.00073721 × 9.46027 × $\frac{10^{12}}{8760}$ km/hr

speed = 796142.197 km/hr

5 0

3 years ago

Which of the following statements are true about the graph of f (x) = 1/4 coz ( x + π/3) - 1? Select all that apply.

Jobisdone [24]

Answer:

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

Step-by-step explanation:

We have the function, $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

It is clear that the parent function is $g(x)=\cos x$ .

So, we see that,

The amplitude of the function f(x) is $\frac{1}{4}$ , which gives, $\cos x => \frac{1}{4}\cos x$ .

Also, g(x) is translated $\frac{\pi}{3}$ units to the left, which gives, $\frac{1}{4}\cos x => \frac{1}{4}\cos (x+\frac{\pi}{3})$ .

Further, the function is translated 1 unit downward, resulting in $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

So, the correct options are,

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

6 0

3 years ago

Line a is represented by the equation y=−2x+3 .

BartSMP [9]

The second line of eauation y=-2x+5 is parallel to a since both have the same slope which is -
-2
the first line of equation y=2x-1 is neither perpendicular nor parallel to a since the (slope of this line) x (the slope of a) = 2 x -2 = -4 not -1, so they aren't perpendicular and its slope isn't equal to that of a, so they aren't parallel
the last line of equation y=1/2x+7 is perpendicular to a since (the slope of a) x (the slope of this line) = -2 x 1/2 = -1

5 0

2 years ago

Read 2 more answers

Suppose you are an aerospace engineer. It is your job to design a new type of fighter jet, and you have already been given a mod

IRINA_888 [86]

Answer:

150 ft length 35ft width and 15ft height

Step-by-step explanation:

5 0

3 years ago

A recipe that makes 6 servings calls for 1/3 cup of sugar. Arlene modifies the recipe so that it can serve 9. How many cups of s

ella [17]

So with 1 cup of sugar u could have 18 servings. divide that by 2 equals 9 which is how many servings you need. divide 1 by 2 and get 1/2. she would use 1/2 cups of sugar.

8 0

2 years ago