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olya-2409 [2.1K]
2 years ago
11

UNIT 8

Mathematics
1 answer:
DochEvi [55]2 years ago
4 0

For the first figure the Circumference of the circle is: 5.3\ip\pi cm.

For the second figure the Circumference of the circle is: 80\ip\pi inch.

<h3>What is Circumference of the Circle?</h3>

The circumference of a circle is defined as the linear distance around it.

i.e.,  C= 2 *\pi*r

  • For First Figure,

Circumference of the circle:

= 2 *\pi*r

= 2 *\pi* \frac{5.3}{2}

= 2 *\pi*2.65

Circumference= 5.3*\pi cm

  • For the second Figure,

Circumference = 2 *\pi*r

= 2 *\pi*40

 = 80 *\pi

Circumference =80\pi \;inch

For the first figure the Circumference of the circle is: 5.3\ip\pi cm.

For the second figure the Circumference of the circle is: 80\ip\pi inch.

Learn more about circumference of circle here:

brainly.com/question/23239017

#SPJ1

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Suppose y is directly proportional to x. If y= 24 when x=2, what is the value of x when y= 144?
Gala2k [10]

Answer:

12

Step-by-step explanation:

Because y=24 and x=2 you do the following:

144/24=6

Then, 6x2=12 because it is proportional

Or you could do 24/2=12 and 144/12=12

5 0
2 years ago
Express f(x) = 3 cos x + 5 sin x as Rsin(x + o), where e<br>is an acute angle in radians.​
Andrews [41]

Answer:

<h2>√34sin(x + 0.33π)</h2>

Step-by-step explanation:

The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.

R = √a²+b²

e = tan^{-1}\frac{b}{a}

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;

a = 3, b = 5

R = √3²+5²

R = √9+25

R =√34

e = tan^{-1} \frac{5}{3} \\e = 59.09^{0}

in radians;

e =\frac{\pi }{180}*59.09\\ e = 0.33\pi rad

3 cos x + 5 sin x = √34sin(x + 0.33π)

4 0
3 years ago
For the question I just asked
guajiro [1.7K]

Answer:

a = 36

Step-by-step explanation:

We use pythagoras theorem here.

h = 60

p = 48

b = a

h² = p² + b²

60² = 48² + b²

3600 = 2304 + b²

b² = 3600 - 2304

b² = 1296

b = 36

7 0
3 years ago
Find an equation of the line passing through the given points (1,-3) and (3,3)
chubhunter [2.5K]

ANSWER: y= 3x - 6

STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

X1=1           X2=3

Y1= - 3       Y2=3

1) Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope  formula:

m = \frac{Y2-Y1}{X2-X1}

m= \frac{3-(-3)}{3-1}   m=\frac{6}{2} = 3

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and  we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter  which one of the two points you choose because you should get the same answer in either  case. I generally just choose the first point listed so I don’t have to worry about which  one I should choose.

y= 3x+b       point (1,-3)

-3= 3(1) + b

-3-3=b

-6=b

3)Write the answer.

Using the slope of 3 and the y-intercept of -6 the answer is:

y = 3x - 6

6 0
3 years ago
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