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MaRussiya [10]
3 years ago
7

Find the limit and confirm using the Sandwich Theorem: lim x->infinity (1 - cosx) / (x^2)

Mathematics
1 answer:
sergejj [24]3 years ago
6 0
We are given with the expression <span> (1 - cos x) / (x^2)</span><span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. cos infinity is 1. The answer is zero over zero. This is indeterminate so we derive the terms according to L'hopital's rule. The derivative is sin x /2x. sin infinity is 1. 1/infinity is equal to zero. Hence the answer is zero.</span>
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Choose the isosceles triangles.
mixas84 [53]

Answer:

<h2><u><em>the second one.</em></u></h2>

Step-by-step explanation:

5 0
4 years ago
Find three ordered pairs for the equation y = x – 5 using the chart below.
zubka84 [21]
All we are going in this situation is to take the values for x which they provided and substitute it for the x and solve to get the value for y.

y = x - 5      y = x - 5      y = x - 5
y = -2 - 5     y = 1 - 5      y = 8 - 5
y = -7          y = -4          y = 3
(-2, -7)        (1, -4)          (8, 3)
3 0
3 years ago
A triangle has an angle that measures 80°. The other two angles are in a ratio of 7:13. What are the measures of those two angle
kap26 [50]
The angles are B and C.


The three angles add up to 180º
A=80º
B
C

A+B+C=180º
80º+B+C=180º
B+C=180º-80º
B+C=100º  (1)

The ratio between A and B is 7/13 ; therefore:
B/C=7/13  ⇒B=7C/13    (2)

With the equations (1) and (2), we make a system of equations:

B+C=100
B=7C/13

We can solve this system of equations by substitution method:
7C/13  + C=100
least common multiple=13
7C+13C=1300
20C=1300
C=1300/20
C=65

B=7C/13
B=7*65/13
B=455/13
B=35º

Answer: The measures of those two angles are 65º and 35º.
6 0
3 years ago
Sandra had a coupon for 20% it took off $60 from the total cost. What was the original price of the item?
elena-14-01-66 [18.8K]

Answer:

$300

Step-by-step explanation:

Since 20% is equal to 1/5, you should multiply $60 by 5 to get $300 as the original cost and as your answer.

4 0
3 years ago
Read 2 more answers
Shelly wrote the following number in expanded form. 90,000+600+8.how would she write the number in word form?
murzikaleks [220]

The number 90,000+600+8 in word form is Ninety thousand six hundred and eight.

<u>SOLUTION: </u>

Shelly wrote the following number in expanded form. 90,000+600+8.

We have been asked to write the number in word form.

The number has been expanded into ten thousand, hundred and ten with additive mathematical operator in between.

So, the given number can be written as follows:

90,000 = ninety thousand.

600 = six hundred

8 = eight.

But if we add the numbers together, we have:

=90,000+600+8.

=90,608

So, on putting the number in word from we get:

Ninety thousand six hundred and eight

7 0
3 years ago
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