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Andrew [12]
2 years ago
8

Evaluate the limit (picture)

Mathematics
1 answer:
Ilya [14]2 years ago
4 0

<em>π</em> ≈ 3.14 > 2, so the second piece is the relevant one:

\displaystyle \lim_{x\to\pi}f(x) = \lim_{x\to\pi}\sin(x) = \sin(\pi) = \boxed{0}

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What's 29.4983 rounded to the nearest cent
konstantin123 [22]
We need to identify what "the nearest cent" is. 

So! 
AB.CD

That is a representation of a number using variables, but we'll just say it's for place values. 

A is in the Tens Place
B is in the Ones Place
C is in the Tenths Place (1/10)
D is in the Hundredths Place (1/100

Since we are talking about money let's put it in relation to a dollar. 

A is in the Ten Dollar Place
B is in the One Dollar Place
C is in the Tenth of a Dollar Place (1/10 of a dollar)
D is in the Hundredth of a Dollar Place (1/100 of a dollar)

So, what is 1/10 of a dollar? 
What amount of money times 10, would get you 1 dollar. Or you can think of it as if you had 10 of one value of money and you got a dollar what is that? A dime. 

Now, what is 1/100 of a dollar? 
What amount of money times 100, would get you 1 dollar. 1 cent (Or it is sometimes called a penny). 

So that means any number beyond the 1/100 of a dollar point (D) will be rounded. If it's the first number after the 1/100 of a dollar is greater than (or equal to) 5 then we round the cent value up. If it is less than 5 we round down. 

$29.4983
So, 9 is our cent place. 8 is greater than 5, so we round 9 up. (Add 1. Since it is 9 it will carry over into the 1/10 of a dollar place)

Our answer is: 
$29.50

8 0
3 years ago
Jenny's chocolate bar is 34% cocoa. If the weight of the chocolate bar is 66 grams, how many grams of cocoa does it contain? Rou
damaskus [11]

Answer:

22.4 grams

Step-by-step explanation:

66 times 0.34 is 22.44

22.44 rounded to the nearest tenth is 22.4

hope i helped :)

7 0
2 years ago
Read 2 more answers
James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposited $500 into the a
zhuklara [117]

Answer:

$275

Step-by-step explanation:

This is what I got:

You first <u>convert</u> 2.75% into 0.0275

You then <u>multiply</u> 500 x 0.0275 = 13.75

Finally you <u>multiply</u> 13.75 x 20 = 275

so the answer should be 275

5 0
3 years ago
7. Find the measure of one exterior angle of<br><br> the regular polygon.<br><br> Triangle
Phantasy [73]

Answer:120°

Step-by-step explanation:

sum of exterior angles=360

In a triangle we have 3 exterior angles

Size for each exterior angle=360/3

Size for each exterior angle=120°

8 0
3 years ago
I have to solve for X?
VashaNatasha [74]

yes

95+97 =192

192+x=180

x= -12

4 0
3 years ago
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