In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?

Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.

s = Θ · r
r = Θ · s
s = Θ + r
r = Θ + s

Answer:

√x-5 = x-11 = 9.

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

Answer:

(x-7)(x+6)

Step-by-step explanation:

Answer:

100,58 meters

Step-by-step explanation:

You add 5,853 plus 4,205 to get 100,58 Meters. You add the number below and above sea water tog et the total height of the mountain.

Answer:

Mouna Kea is 10,058 meters high

Step-by-step explanation:

in order to calculate the whole height of the Mouna Kea you will need to add the base to the summit.

5,853 +4,205 = 10,058

The required Pythagorean triplets are hypotenuse, perpendicular and base is 13, 12 and 5 respectively.

In a right angled triangle, its side, such as hypotenuse, perpendicular and base  is Pythagorean triplets.

We have

Hypohypotenuse = 13
perpendicular = 12
base = 5
Which satisfies the condition of the Pythagorean theorem.

[tex]a^2+b^2=c^2\\12^2+5^2=c^2\\169=c^2[/tex]

and c = 13

Thus, the required value of Pythagorean triplets satisfies the Pythagorean theorem.  

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The equation of the arithmetic sequence in which  t(5)=40 and t(10)=70 is tₙ = 10 + 6n

The equation of an arithmetic sequence can be represented as follows;

tₙ = a + (n  -1)d

where

Hence,

70 = a + 9d

40 = a  + 4d

30 = 5d

d = 30 / 5

d = 6

Therefore,

40 = a + 4(6)

40 - 24 = a

a = 16

Hence, the equation is as follows:

tₙ = 16 + (n - 1)6

tₙ = 16 + 6n - 6

tₙ = 16 - 6 + 6n

tₙ = 10 + 6n

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The 45 mi/h is equal to the 2640 ft/min.

To convert 30 miles per hour to feet per minute, we use dimensional analysis in the process.

We have given that, rate using dimensional analysis.

1 hour = 60 minutes.

1 mile is equal to 5280 feet and 1 hour is equal to 60 minutes.

Hence the formula of conversion is 30 miles / hour *(5280 ft/ mile) * (1 hour / 60 min).

The answer is 2640 ft/min.

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Answer:

8 is correct.

Mark as brainlist, thanks me, and rate. Hope it helps you!!!

Answer:

Step-by-step explanation:

From  the diagram we can see:

The triangles have two congruent angles and one congruent side which is between those two angles.

It means the triangles are congruent by angle-side-angle or in short ASA theorem.

Correct answer choice is C

Answer

12

Step-by-step explanation:

Answer:

the algebraic expression is; x+3=14

The correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.

The complete question is given below:-

Which of the following statements are true?

I. Each white blood cell contains millions of haemoglobin molecules.

II. In a sample of blood, there are more red blood cells than white blood cells.

III. HIV destroys red blood cells.

IV. All blood cells come from one pool of stem cells.

A. II and IV only

B. I and IV only

C. II and III only

D. I, III, and IV only

E. I, II, and IV only

The most prevalent form of blood cell and the main source of oxygen for the bodily tissues of vertebrates, red blood cells are also known as red cells, red blood corpuscles, haematids, erythroid cells, or erythrocytes. They circulate through the blood through the circulatory system.

Therefore the correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.

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The equation of line is 2x  - 3y = 6.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

The x-intercept is 3 and the y-intercept is -2.

So, the line passes through the points  (3, 0) and (0, -2)

Now, slope of line is

m= -2-0/ 0-3 = 2/3

Equation of line is

y = 2/3 x - 2

y = 2x-6 /3

3y= 2x -6

2x  - 3y = 6

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Answer:

Step-by-step explanation:

x² + y² = 81

x + y = √81

x + y = 9

x ≥ 9

y ≤ 9

The transformation of C(9, 3) when dilated with a scale factor of 1/3, using the point (3, 6) as the center of dilation would be an option B: C'(3,1).

A dilation transformation is a transformation that changes the size of the original figure but the shape remains unchanged.

If any figure is dilated by a scale factor k with the center of dilation as the origin.

Then the change of transformation in each of the vertices of the figure is given:

(x,y) → (kx, ky)

It is given a point C which is located at C(9,3).

Hence, here k=3

We get:

C(9,3) → C'(9×3,3×3)

C(9,3) → C'(27,9) = C'(3,1)

Hence, the transformation of C(9, 3) when dilated with a scale factor of 1/3, using the point (3, 6) as the center of dilation would be an option B: C'(3,1).

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Answer:

(5,5)

Step-by-step explanation:

count from the center

Answer:

45 degrees

Step-by-step explanation:

A bisector divides an angle into two equal parts. Since we are dividing a 90 degree angle by 2, we get a resulting value of 45 degrees.

Answer:

C

Step-by-step explanation:

2 equal angles are said to be congruent

Buford should use 7.5 pounds of the 50% corn bag.

A system of linear equation is an equation containing two different equations with variables and the coefficient.

From the given information, let:

Sp, we can a system of a linear equation that says:

x + y = 30

0.5x + 0.9y = 0.8(30)

Using elimination method

x + y = 30

-

x - 1.8y = -48

0 - 0.8y = -18

y = 18/0.8

y = 22.5

From x + y = 30

x = 30 - 22.5

x = 7.5

Therefore, we can conclude that he should use 7.5 pounds of the 50% corn bag.

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Elaine saw statistics showing that union employees make an average of 30 percent more than nonunion workers, so when she was looking for a new job, she looked for one at a company that was unionized. Elaine was motivated by Economic needs.

By economic need Elaine is trying to get a company that would pay her more. Hence the need to go for the Unionized company.

This is given that the Unionized company is said to earn more than the other company. Hence her motivation is due to her economic needs.

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The error that Maria made is that she did not divide correctly.

The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.

Simple interest = principal x time x interest rate

2666 = 4300 x 0.062 x t

2666 = 266.60t

t = 2666 /  266.60

t = 10 years

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Answer:

Step-by-step explanation:

Two possible patters of sitting:

⇒ [tex]I) M W M W M W[/tex]

⇒ [tex]II) W M W M W M[/tex]

⇒ Three ways can be used to seat each set of three people, for a total of six.

⇒ There are two groups

2 × 3 = 6 (ways in six groups.)

*The two options can be distributed in two groups.

⇒ Total methods are equal to 6 * 6 * 2 = 72 ways.

Answer:

y - 10 = 2(x - 3)

Explanation:

Equation:

y - y₁ = m(x - x₁)

Here given:

coordinates: (x, y) = (3, 10)

Inserting value's:

y - 10 = 2(x - 3)  in point slope form

y = 2x - 6 + 10

y = 2x + 4  in slope-intercept form

Answer:

d) y - 10 = 2(x - 3)

Step-by-step explanation:

Given: a line with a slope of 2, and the point (3, 10)

⇒ Point-Slope Form: y - y₁ = m(x - x₁)

where: m is the slope, and (x₁, y₁) is a given point

Substitute the values into the form:

⇒ y - y₁ = m(x - x₁)

⇒ y - 10 = 2(x - 3)

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Answer:

y= 2x - 3

Step-by-step explanation:

To calculate the slope (or gradient) of a line, take two points on the line whose x and y values are easy to read. Then divide the difference of they y-coordinate values by the difference of their x-coordinate values.

Here I have taken the points p (3, 3) and q (1, -1) to calculate the slope.

• slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1}}[/tex]

         = [tex]\frac{3 - (-1)}{3 - 1}[/tex]

         = [tex]\frac{4}{2}[/tex]

         = 2  

The intercept is the y-coordinate value of the point at which the line crosses ("intercepts") the y-axis. I've marked the intercept point with a green line.

• intercept = -3

The slope-intercept equation of a line takes the form:

y = mx + c

where 'm' is the slope and 'c' is the y-intercept.

Substituting the values we found into the equation gives us:

y = 2x + (-3)

∴ y = 2x - 3

The coordinates of a point located on the grid is (64.65, 12.4).

We need to find the coordinates of the point given on the grid.

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Now, from the given grid we can see that the point is located at (64.65, 12.4)

Therefore, the coordinates of a point located on the grid is (64.65, 12.4).

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Answer:

D

Step-by-step explanation:

Perpendicular lines intersect at a 90° angle.

Answer:

D. Segments that intersect at a right angle

Step-by-step explanation:

Answer:

-2x³ - 7x².

Step-by-step explanation:

- (4x³ + x²) + 2(x³ - 3x²)

= - 4x³ - x² + 2x³ - 6x²    Simplifying like terms:

= -2x³ - 7x².

Add the like terms :

Answer:

2.865.

Step-by-step explanation:

first get to know the place value of each digit is you move on you will realise that there's no digit for tens of thousands that means that you can add a zero which which will be counted as tens of thousands and since it's not past 5 it can't change the other number. I mean it can't add 1 to 5 so the number remains 2.865 good day.

If there are 12 coins under the couch and every coin is either a nickel or a penny and together they are forming 32 cents then the equations which represent the problem will be x+y=12, 0.01x+0.05y=0.32. The correct option is B which is x+y=12, 0.01x+0.05y=0.32.

Given There are 12 coins and total money is 32 cents.

Let the number of pennies be x and the number of  nickels be y.

According to question there are 12 coins so the first equation becomes:

x+y=12.

Then we have been told that together they amount to 32 cents.

We know that 1 penny is 1 cent coin and 1 nickel is 5 cent coin so the equation becomes :

1*x+5*x=32

x+5y=32

converting into dollar

0.01x+0.05y=0.32.

Hence the right equations showing the problem of nickel and pennies are x+y=12, 0.01x+0.05y=0.32.

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