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Allisa [31]
3 years ago
6

Find the circumference of the circle. use 3.14 for round to the nearest unit

Mathematics
1 answer:
liberstina [14]3 years ago
5 0

I’m going to say b.66 because 3.14•10.5•2=65.94

I got 10.5 by dividing 21 by 2 because I guessed it was the diameter

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Lim x--> 0 (e^x(sinx)(tax))/x^2
Tom [10]

Make use of the known limit,

\displaystyle\lim_{x\to0}\frac{\sin x}x=1

We have

\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)

since \tan x=\dfrac{\sin x}{\cos x}, and the limit of a product is the same as the product of limits.

\dfrac{e^x}{\cos x} is continuous at x=0, and \dfrac{e^0}{\cos 0}=1. The remaining limit is also 1, since

\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1

so the overall limit is 1.

4 0
3 years ago
Look at the graph shown<br> Which equation best represents the line?
Brilliant_brown [7]

y=\frac{11}{4}x +4 is the equation best represents the line.

Solution:

Take any two points on the line.

Let the points be (0, –4) and (4, 7).

x_1=0,y_1=-4,x_2=4, y_2=7

General form of equation of a line is y = mx + c

where m is the slope and c is the y-intercept of the line.

<em>y-intercept is the point which line crosses at y-axis.</em>

In the given line, y-intercept is 4.

c = 4

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{7-(-4)}{4-0}

$m=\frac{11}{4}

Equation of the line:

y = mx + c

y=\frac{11}{4}x +4

Hence y=\frac{11}{4}x +4 is the equation best represents the line.

5 0
3 years ago
What is m∠2?<br> What is m∠1?
Greeley [361]

Answer:

<2 = 75

<1 = 105

Step-by-step explanation:

<2 and 75 are alternate interior angles and since the lines are parallel, they are equal

<2 = 75

<2 + <1 = 180    since the angles form a line

75+ <1 = 180

Subtract 75 from each side

<1 = 180-75

<1 = 105

6 0
3 years ago
Read 2 more answers
How add with the same denominator ?
Amiraneli [1.4K]

Answer:

you just add the top numbers and then if its over the denominator you simplify

Step-by-step explanation:

7/9 + 4/9

10/9

1-1/9

7 0
2 years ago
Math Help PLZ!!!!!!!!!
VMariaS [17]

Answer: C

<u>Step-by-step explanation:</u>

 f(x) =   2x + 1  ⇒       2x + 1

<u>- g(x) = -(x² - 7) </u>⇒  <u>-x²     + 7 </u>

              (f-g)(x) = -x² + 2x + 8

4 0
3 years ago
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