Help me please, it’s a Pythagorean identity problem

Answer:

26π

Step-by-step explanation:

radius=13

double radius to find diameter

diameter=26

equation for circumference= π×d

circumference= 26π

Answer:

y = 9x + 10

Step-by-step explanation:

y = mx + b

Here, m is slope and b is y-intercept

y = 9x + 10

Given

probabilities: $10 - .75, $50 - .25

Find

The workers expected weekly bonus

Explanation

Based on the given conditions:

10 x 0.75 + 50 x 0.25

= 7.5 + 12.5

= $20

Final Answer

Expected weekly bonus = $20

Answer:

im pretty sure its 2x^3

Step-by-step explanation:

Answer:

x = 3√3;

y = 3

Step-by-step explanation:

Use trigonometry:

\( \sin(30°) = \frac{y}{6} \)

Cross-multiply to find y:

\(y = 6 \times \sin(30°) = 6 \times 0.5 = 3\)

Use the Pythagorean theorem to find x:

\( {x}^{2} = {6}^{2} - {y}^{2} \)

\( {x}^{2} = {6}^{2} - {3}^{2} = 36 - 9 = 27\)

\(x > 0\)

\(x = \sqrt{27} = \sqrt{9 \times 3} = 3 \sqrt{3} \)

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

1/4 or .25

Step-by-step explanation:

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Perimeter = 25

Step-by-step explanation:

J(-2, 5)

K(1, 1)

L(1, -1)

M(-5, -4)

N(-5, 1)

Formula for distance between 2 coordinates is;

d = √((x_2 - x_1)² + (y_2 - y_1)²)

Thus;

JK = √((1 - (-2))² + (1 - 5)²)

JK = √25

JK = 5

KL = √((1 - 1)² + (-4 - 1)²)

KL = √25

KL = 5

LM = √((-5 - (-1))² + (-4 - (-1))²)

LM = 5

MN = √((-5 - (-5))² + (1 - (-4))²)

MN = 5

JN = √((-5 - (-2))² + (1 - 5))²)

JN = 5

Thus;

Perimeter = 5 + 5 + 5 + 5 + 5

Perimeter = 25

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

65

Step-by-step explanation:

Hi,

Triangles will always add up to 180 degrees. So, 62 + 53 = 115. Subtract it from 180, 180 - 115, and you get 65.

I hope this helps :)

Answer:

65

Step-by-step explanation:

The sum of the three angles of any triangle is equal to 180 degrees

9514 1404 393

Answer:

  -5  or  7

Step-by-step explanation:

Let x represent the number. The problem statement tells us ...

  x^2 -35 = 2x

  x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form

  (x -7)(x +5) = 0 . . . . . factor

  x = 7  or  x = -5 . . . . solutions are values of x that make the factors zero

The number could be either -5 or +7.

Answer:

In order to find out the equation of liner function first of all u need to find the slope of it (a) then put it in general form of liner functions, afterwards put desire point of x,y table in equation to find the b.

form of liner function : y= ax+b

step 1. finding the slope

\(a = \frac{y1 - y2}{x1 - x2} \)

for example I'll put (-3,4) and (0,2) to this formula,

the slope would be -2/3

step2. finding the b

put a desire point of x,y table for example (3,0)

0 = -2/3 × 3 + b

b would be 2

so the equation is y= -2/3x + 2

\(\dfrac{\sin(x+y)}{\cos x \cos y}\\\\\\=\dfrac{\sin x \cos y + \sin y \cos x}{\cos x \cos y}\\\\\\=\dfrac{\tfrac{\sin x \cos y}{\cos x \cos y} + \tfrac{\sin y \cos x}{\cos x \cos y}}{\tfrac{\cos x \cos y}{\cos x \cos y}}\\\\\\=\dfrac{\tan x + \tan y}1\\\\\\= \tan x + \tan y\)

The expression for the sum of 1 cubed, 2cubed and 3 cubed is 1² + 2³ + 3³ and the value is 36.

It should be noted that the information is to find the expression for the sum of 1 cubed, 2cubed and 3 cubed.

This will be:

= 1³ + 2³ + 3³

= 1 + 8 + 27

= 36

Therefore, the correct answer is 36.

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Answer:

1 1/2 or 3/2

Step-by-step explanation:

If three tablespoons of milk is 2 times the amount of fluid ounces, then simply divide three by 2 and you will get one and a halve

Answer:

756 m²

Step-by-step explanation:

I just know the answer XD

Answer:

  27x^6y^9

Step-by-step explanation:

The outside exponent multiplies all of the inside exponents. The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

  (3x^2y^3) = (3^3)(x^(2·3))(y^(3·3)) = 27x^6y^9

They want to determine the stray cat population in a local city. The researchers tagged 80 cats . Later, they counted 750 cats. The 750 cats that were counted about 40 was already tagged. The estimated number of cats in the city can be computed below

Number of Tagged cat = 80

The amounted later counted = 750

Out of the 750 cats counted, 40 cats were already tagged.

Therefore,

total population of the cats in the city = 750 + (80 - 40) = 750 + 40 = 790 cats

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer:

1.(2,4)

2.(-4,2)

3.(-2,8)

Answer:

answer attached

Step-by-step explanation:

dilation about origin (0,0) with factor 12: multiplicate every coordinate value by 12

multiply through the equation by 7

x - 14 = x

collect like term

x - x = 14

But 0 is not equal to 14

so, this implies that there is no solution

The correct option is c.

Answer:

What is

3

4

-

4

+2?

3

4

O

3

1

2

0

Alco

O

21

N

O2

Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.

Given are the two coordinates to be plotted on a Cartesian plan -

(5, 4) , (3, 4).

The two given coordinate points are (5, 4) , (3, 4).

Refer to the graph attached. It shows both the points plotted.

Therefore, both the coordinate points are plotted on the cartesian graph.

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Answer:

the null hypothesis would be: p = 70%/0.7

The alternative hypothesis would be: p < 0.7

Step-by-step explanation:

The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.

In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7

The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7