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lutik1710 [3]
3 years ago
7

The circle with equation x^2+y^2=169 has center with coordinates ___ and a radius equal to ___ .

Mathematics
1 answer:
morpeh [17]3 years ago
8 0

Answer:

no bruh momento

Step-by-step explanation:

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The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.​
valkas [14]

<u>Number of terms = 48</u>

<u>common difference = 1.5</u>

This question involves the concept of Arithmetic Progression.

  • The formula for sum of an arithmetic progression series with first and last term given is;

S_{n} = \frac{n}{2}(a + l)

where;

a = first term

l = last term

n = number of terms

  • From the given sequence, we see that;

first term; a = 4

last term; l = 76

Sum of A.P; S_{n} = 1920

  • Plugging in relevant values into the sum of an AP formula, we have;

1920 = \frac{n}{2}(4 + 76)

simplifying this gives;

1920 = 40n

n = 1920/40

n = 48

  • Formula for nth term of an AP is;

t_{n} = a_{1} + (n - 1)d

where;

a_{1} is first term

d is common difference

n is number of term

t_{n} is the nth term in question

the 48th term is 76

Thus;

76 = 4 + (48 - 1)d

76 - 4 = 47d

72 = 47d

d = 72/47

d ≈ 1.5

Thus;

Number of terms = 48

common difference = 1.5

Read more at; brainly.com/question/16935540

4 0
3 years ago
Estimate the limit<br><br> A <br> B <br> C<br> D
Lera25 [3.4K]

Answer:

C. \lim_{x\rightarrow f(x)=2

Step-by-step explanation:

Given problem is \lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}.

Now we need to evaluate the given limit.

If we plug \x=\frac{\pi}{4}, into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule

take derivative of numerator and denominator

\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}

=\lim_{x\rightarrow \frac{\pi}{4}}\frac{sec^2(x)-0}{1-0}

=\frac{sec^2(\frac{\pi}{4})-0}{1-0}

=\frac{(\sqrt{2})^2}{1}

=\frac{2}{1}

=2

Hence choice C is correct.

5 0
3 years ago
Complete the square: -3x^2 + 30x -52 express in vertex form
nadezda [96]

the answer to this is

the two is for the top of the five  2

                                            -3(x - 5) +23

4 0
3 years ago
Calculate the diameter of a circle given the circumference to be 75.39cm. Round to the nearest hundredth place.
solong [7]
The answer is 75.39/pi, or 24.00.
3 0
3 years ago
What is 3 to the sixth power
Anarel [89]

 = 3^6

 =3*3*3*3*3*3

 =729

7 0
3 years ago
Read 2 more answers
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