How many theorems are there for circles? And what are they?

Answer:

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Write 64 as a product of primes.

Use index notation where appropriate.

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex]Prime\ no.\ is\ 2[/tex]

Factorisation of 64=2×2×2×2×2×2

[tex]{2}^{6} [/tex]

Answer:

The smallest number be 6.

Step-by-step explanation:

Let the 4 consecutive numbers be :

n,n+1,n+2,n+3 where n is the smallest number

Adding up the 4 consecutive numbers, we get :

n+n+1+n+2+n+3 = 4n+6

ATQ,

4n+6 = 5n

Taking like terms together,

6=5n-4n

⇒ n = 6

So, the smallest number be 6.

The expression to be evaluated:

For,

First step in evaluating an expression is to substitute the given value of variable into the expression. Then you can finish evaluating the expression using arithmetic.

On putting the values of x and y in the given expression:

‎ㅤ‎ㅤ➝ 2x² - y + 3x

‎ㅤ‎ㅤ➝ 2× ( 3 )² - 7 + 3 × 3

‎ㅤ‎ㅤ➝ ( 2 × 9 ) - 7 + 9

‎ㅤ‎ㅤ➝ 18 - 7 + 9

‎ㅤ‎ㅤ➝ 11 + 9

‎ㅤ‎ㅤ➝ 20

Part (a)

This sequence is convergent because all we care about are the leading terms for the numerator and denominator. As n gets really large, the leading terms dictate what happens.

The leading term up top is 9n

The leading term down below is 7n

Divide the two items to get (9n)/(7n) = 9/7

We don't have to worry about dividing by zero because n will go off to infinity, and as it does so, the sequence [tex]\{a_n\}[/tex] converges to 9/7

========================================================

Part (b)

As n heads to infinity, the terms of the sequence are approaching 9/7 (they never quite hit the exact value though).

Note how 9/7 = 1.2857 approximately which is larger than 0

So effectively for very large values of n, we're adding on 1.2857 each time or close to it, meaning that this infinite series diverges.

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For a series like this to converge, the answer to part (a) must be 0. This way at some point, we're effectively adding 0 to the series and we approach some fixed sum.

For example, consider the sequence 1/(7n+1)

As n goes to infinity, the terms of the sequence approach 0

This means that for some very large n, the 1/(7n+1) is basically 0 and we aren't adding much onto the sum to change it. So this sum will converge to a fixed value.

Answer:

Step-by-step explanation:

No Zack will finish first

Answer:

Only Zack will finish

Step-by-step explanation:

126/3 = 42

42*5 = 210

180 / 4 = 45

45 * 5 = 225

If you can can i have brainliest

Answer:

41/10 or 4.1......

Step-by-step explanation:

Answer:

Zeroes: None

Domain: All real numbers

Maximum: None

Step-by-step explanation:

Answer:

12 boys

Step-by-step explanation:

7 x 3 = 21

4 x 3 = 12

12 boys

Answer:

B

Step-by-step explanation:

sin = opp/hyp

The opposite side to angle A is side BC, which has a length of 60.

The hypotenuse is AB, which we can find the length of using the Pythagorean theorem. Using the Pythagorean theorem, we get that AB=100.

So the sine of A = 60/100 = 3/5

Answer: You will be able to go for 2 full years.

Step-by-step explanation:

12,120 x 2 = 24,240. You will have $4760 leftover.

Answer: You will be able to go for 2 years and about 3 months

Step-by-step explanation:

Answer:

V = l × b × h

Answer:

210 mph

Step-by-step explanation:

speed of jet = x

headwind: speed = x - 27

time taken = 1134.6/(x - 27)

tailwind: speed = x + 27

time taken = 1469.4/(x + 27)

same amount of time:

1134.6/(x - 27) = 1469.4/(x + 27)

Cross multiply,

1134.6(x + 27) = 1469.4(x - 27)

1134.6x + 30634.2 = 1469.4x - 39673.8

334.8x = 70308

x = 210 mph

Answer:

{4,6,8,10,12}

Step-by-step explanation:

Even numbers are those that can be divided by 2 without remainder i.e. they are divisible by 2.

The first positive even numbers are 2,4,6,8,10,12,14,16,18...

Selecting the numbers in the given range between 3 and 13 in set notation:

{4,6,8,10,12}

Answer:

4, 6, 8, 10, 12

Step-by-step explanation:

List the even numbers between 3 and 13 in set

notation

[4, 6, 8, 10, 12]

thanks

Answer:

≤ 4.3 gigabytes

Step-by-step explanation:

Flat fee + cost for x gigabytes = her budget

47 + 5 * x ≤ 68.50

5x = 68.50 - 47 ≤ 21.50

x ≤ 21.50/5 = 4.3 gigabytes

Micaela can use approximately 4.3 gigabytes of data while staying within her budget of $68.50 per month.

Let, "x" to represent the number of gigabytes of data Micaela can use while staying within her budget.

The total cost can be calculated by adding the flat cost of $47 to the cost based on the gigabytes used ($5 per gigabyte):

Total Cost = Flat Cost + (Cost per Gigabyte * Number of Gigabytes)

Given that Micaela wants to keep her bill at $68.50 per month, we can set up the equation:

68.50 = 47 + 5x

Now, solve for x:

68.50 - 47 = 5x

21.50 = 5x

Divide both sides by 5:

x = 21.50 / 5

x = 4.3

So, Micaela can use approximately 4.3 gigabytes of data while staying within her budget of $68.50 per month.

To learn more on equation click:

https://brainly.com/question/14468218

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Using it's concept, it is found that the relative frequency for the class with a lower class limit of 35 is of 12.5%.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 5 out of a total of 10 + 8 + 9 + 4 + 4 + 5 = 40 students are in the class with a lower class limit of 35, hence:

f = 5/40 = 1/8 = 0.125 = 12.5%.

The relative frequency for the class with a lower class limit of 35 is of 12.5%.

More can be learned about relative frequencies at https://brainly.com/question/14398287

[tex]\\ \rm\rightarrowtail 4x-2y=12[/tex]

[tex]\\ \rm\rightarrowtail 2y=4x-12[/tex]

[tex]\\ \rm\rightarrowtail y=4/2x-12/2[/tex]

[tex]\\ \rm\rightarrowtail y=2x-6[/tex]

Done

Answer:

Step-by-step explanation:

(26/2)² = 169

Answer:

The area of this figure is  106 square meters

Step-by-step explanation:

7*4=28

(10*5)

50+28+28= 106 sq meters

Answer:

the answer is 4

Step-by-step explanation:

Answer:

A. 4 divided by 1/6=24

Step-by-step explanation:

I did the test.

Answer:

  D.  obtuse

Step-by-step explanation:

The largest angle tells you the sort of triangle it is. Here, the largest angle is more than 90°, so the triangle is classified as obtuse.

__

If it were exactly 90°, the triangle would be a right triangle. A largest angle less than 90° means the triangle is an acute triangle.

_____

Additional comment

The two angles opposite the obtuse angle have the same measure. That means the triangle can be further classified as isosceles. In an equilateral triangle, all three angles have the same measure: 60°.

Answer:

7

Step-by-step explanation:

Answer:

x^(2)+(y+2)^(2)=1

Step-by-step explanation:

Answer:

to know what scale to use you divide the the highest score by the number of hozirontal line (feint/lighter drawn lines) which are 14.

so 260 ÷ 14 equals = 18.57

I then rounded the 18.57 to the nearest 10th = 20.

so the scale used is 20s

Answer:

x = -0.4y

Step-by-step explanation:

Simplifying

15x + 6y = 0

Solving

15x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

15x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

15x + 0 = 0 + -6y

15x = 0 + -6y

Remove the zero:

15x = -6y

Divide each side by '15'.

x = -0.4y

Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

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Question 1aa

Given: B = 10°, C = 100°, b = 2

10° + 100° + A = 180°

⇒ A = 70°

[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]

[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]

[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]

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Question 2bb

Given: A = 40°, B = 40°, c = 2

40° + 40° + C = 180°

⇒ C = 100°

[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]

[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

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Question 1aa

Given: A = 110°, C = 30°, c = 2

110° + 30° + B = 180°

⇒ B = 40°

[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]

[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]

Answer:

Step-by-step explanation:

Note is seems typo, b = 0

Given, expression

It represents distributive property of multiplication a(b + c) = ab + ac

Correct choice is the first one

Answer:

6

Step-by-step explanation:

84 = 3 x 28

56 = 2 x 28

Minimum number of square plot, each square is 28 x 28

the number is 3 x 2 = 6