Find the equation of a circle whose center is at (2, 3) and radius is 6.

When it comes to right triangles, there's one extremely important equation that you'll have to use almost every single time you come across one: the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}[/tex]... Does that equation ring any bells? This equation is utilized to solve for any of the sides of a right triangle, given that you know the values of two of the sides. in a right triangle, there are three sides - one of which is known as a hypotenuse (the longest side of a right triangle). Variables a and b represent the lengths of the non-hypotenuse sides (basically, the two smaller sides, the ones that form a right angle). There's no special rule to which side is designated a and which is designated b, so don't worry about trying to figure out which side should be labeled which. Variable c represents the length of the hypotenuse.

Now, how can we apply the Pythagorean Theorem to this question? We are given the values of the two legs of the triangle, 1 m and [tex]\sqrt{15}[/tex] m. Since we are prompted to solve for the length of the hypotenuse, we will use the Pythagorean Theorem and solve for c, the variable for the length of the hypotenuse.

[tex]c^{2} = a^{2} + b^{2}[/tex]

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

(We square root both sides in order to isolate c. Now, let's plug in the values we were given. As we learned earlier, it doesn't matter which leg is a or b)
c = [tex]\sqrt{1^{2} + \sqrt{15}^{2} }[/tex]

c = [tex]\sqrt{1 + 15}[/tex]

c = [tex]\sqrt{16}[/tex]

c = 4 (m)

The length of the hypotenuse is 4 meters.

And we're done! Though I wrote a lot, the equation is fairly simple and will come extremely handy any time you're faced with questions like these. If you have any questions about anything I wrote here or you need clarification on anything, let me know!

- breezy ツ

The polynomial is a binomial

The coefficients are the invested amounts

From the question, we have the following parameters that can be used in our computation:

Polynomial expression = 400x^8 + 600x^6

The above has two terms

So, it can be classified as a binomial

From the question, we have:

investing $400 for 8 years and $600 for 6 years

This means that the coefficients are the invested amounts

Read more about polynomial at

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#SPJ1

Answer:

No

Step-by-step explanation:

To find the area Use B x H = A

so 7 x 9 = 63

Answer:

  695 revolutions

Step-by-step explanation:

Finding the number of revolutions is basically a units conversion problem. You want to translate miles to revolutions. We can do this by way of feet and inches. The circumference of the wheel is pi times the diameter.

  1 mi = (1 mi) × (5280 ft)/(1 mi) × (12 in)/(1 ft) / (29π in)/(1 rev)

  = (1·5280·12·1)/(1·1·29π) = (63360/(29π)) rev ≈ 695.45 rev

About 695 revolutions will be needed to make the bike travel 1 mile.

The sum of the angle measures is 180 degrees

  -->[tex](3x + 28)+(5x + 52) +(2x -10) = 180\\10x + 70 = 180\\10x = 110\\x = 11[/tex]

Since x= 11, angle c = 2(11) - 10= 12

Hope that helps!

Answer:

1 1/2

Step-by-step explanation:

A poll worker analyzing the ages of voters found that  [tex]\mu =65[/tex]     [tex]\sigma=5[/tex] the possible voter age at Zx=1.14 will be around 71.

It is given that

[tex]\rm Mean\ \mu=65[/tex]

[tex]\rm standard \ deviation \ \sigma =5[/tex]

[tex]\rm X= Ages\ of \ the \ workers[/tex]

From the Z-score concept, we know that

[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]

[tex]x=\sigma Z+\mu[/tex]

putting the values

[tex]X=5\times 1.14+65=70.7[/tex]

Thus A poll worker analyzing the ages of voters found that  [tex]\mu =65[/tex]     [tex]\sigma=5[/tex] the possible voter age at Zx=1.14 will be around 71.

To know more about the Z-score concept follow

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3:5 and 1:3 is not proportional

6:15 and 2:5 is Proportional

2:3 and 4:1 is not proportional

Answer:

1. Quadratic, 2nd degree

2. Constant, no degree

3. Cubic, 3rd degree

4. Linear, 1st degree

Answer:

7

Step-by-step explanation:

any number greater than 3 but it has to be less than 9

Answer: 5 divided by 1/2 is 10

Step-by-step explanation:

5 x (1/2) = 10/1 = 10

Multiplying the first fraction by the reciprocal value of the second fraction is the same as dividing two fractions. The first step is to get the reciprocal of the second fraction (reverse the numerator and denominator, reciprocal of 1/ 2 is 2/ 1 ). Multiply the two numerators after that. Then add the two denominators together.

To put it another way, five divided by one-half equals 10.

Answer:it is ten

Step-by-step explanation:

The expression which is stated that three more than a number squared is n² + 3. Then the correct option is C.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Let the number be n.

The square of the number n is given as n².

The number is more than 3 then the number will be

n² + 3

The expression which is stated that three more than a number squared is n² + 3.

More about the Algebra equation link is given below.

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Answer:

2/7

Step-by-step explanation:

This is a direct proportionality qn

Answer:

x=3.5

Step-by-step explanation:

In one minute 3.5 pancakes are eaten, and the variable is constant

Answer:

58

Step-by-step explanation:

Lmk if its correct :)

Answer:

Step-by-step explanation:

slide 1. match all the phrases with algebraic expressions

answers:

slide 2.

slide 3.

slide 4. im going down in each column

Phewwwww this took so long. hope it helps

121 = 55%

121 / 11 = 5%

11 = 5%

11 * 20 = 100%

220 = 100%

220 students in 7th grade

Answer:

The picture is too blurry to see, so let me explain how you find the answer for yourself...

Step-by-step explanation:

Basically, time is the y-axis (up and down), and # of rebounds is the x-axis (left and right). The question asks for rebounds made in 15 minutes, so first find the 15 mark on the left of the graph. Trace that line across the graph to the right (use ur finger if you have to) until you hit a dot. Trace the line that the dot is on down to the bottom of the graph. The number you hit will be your answer (# of rebounds).

~Hope this helps :)

Answer:

To have a right triangle, the side lengths should make Pythagorean theorem true

Since the hypotenuse is always the longest side of a triangle, the biggest number will be c

Set the rest two numbers as a and b

Use a^2 + b^2 = c^2 to plug in the numbers

If you get true equation, meaning you have the same number on the left and right sides of equation, then it is going to create a right triangle

Answer:

actually the answer is D

Step-by-step explanation:

Answer:

sheesh this is big

Step-by-step explanation:

aight for the conver to meters

1)2

2)7

3)6.5

4)4

5)0.40

convert to litres

sorry my class just ended ill answer the rest in like 5 minutes

Answer:

A. 134. 83

Step-by-step explanation:

1)  5(4/3)^(8-1) / (4/3-1)

2)  5(9.98872-1) / (1/3)

3)  44.9436 / (1/3)

4) 134.83

Answer:

  (h)  ST, ∠S, ∠R

Step-by-step explanation:

In general the Law of Sines is applicable when you have two angles and a side. The solution of the triangle will be unique if the given side is opposite the largest angle.

These conditions are met in choice h.

  x/sin(S) = ST/sin(R)

  x = sin(S)·ST/sin(R) = sin(34°)·7/sin(92°)

  x ≈ 3.917

__

Additional comment

Here's why the other choices don't work.

  (f) These values would require sin(R) = 15.3/8.1×sin(38°) ≈ 1.163. No angle has a sine of this value, so no triangle can be formed with these values.

  (g) The given angle is between the given sides, so the Law of Cosines is needed for solving the triangle.

  (j) Three angles are given, but no sides are given. The lengths of the sides, including x, cannot be determined.

So

Now

These are correct

Answer:

-270 is the smallest negative possible angle.

Step-by-step explanation:

Cotrrminal Angle have been period of 360 degrees.

Since we won't it to be negative, we subtract 360.

[tex]90 - 360 = - 270[/tex]

We can keep going infinitely if we want to.

[tex] - 270 - 360 = - 630[/tex]

Or so on...

i like your eyes they sparkle like the night sky even though you left me and stabbed me in the heart after i worshipped the ground you walked on ,

Answer:

A

Step-by-step explanation: