If A=(7,9) and B=(3,12) what is the length of AB

solving sin ( 4x ) = √3 / 2 , the value of x is 15°

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

For angle of 30° and 60°

sin 30° = 1/2

cos 60° = √3/2

tan60° = √3

for angle 60 °

sin60° = √3/2

cos 60° = 1/2

tan60° = 1/√3

since sin(4x) = √3/2

and sin 60° = √3/2

sin60° = sin(4x)

this means 60° = 4x

divide both sides 4

x = 60/4

x = 15°

therefore the value of x is 15°

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Answer:

79°

Step-by-step explanation:

Assuming the diagram need to complete the question is the same as the one attached below,

From the diagram,

∠A+∠B+∠C = 180 (sum of the angles in a triangle is 180)..................... Equation 1

Given: ∠A = 22° (Vertically opposite angles are equal), ∠B = x, ∠C = x

Substitute these values into equation 1

22+x+x = 180

2x+22 = 180

2x = 180-22

2x = 158

x = 158/2

x = 79°

Hence the value of x is 79°

Answer:

79

Step-by-step explanation:

i got it right

Answer:

=3/11 of (1×3+5/9)÷9/15

=3/11 of (8/9)÷9/15

=3/11 of 8/9÷9/15

=8/33÷9/15

=8/33×15/9

=40/99

*mark me brainliest

Answer:

I would say 6 sets

Step-by-step explanation:

Mystery = 5  |  Romance = 8

0                        5

1                         4

2                        3

3                        2

4                        1

5                        0

each time she picks out 5 novels. There is only 5 mystery novels so you cant go past that

....but that's just me personally

Answer:

Step-by-step explanation:

560

To solve this equation for y, you can follow these steps:

First, get all the terms with y on one side of the equation and all the other terms on the other side. To do this, you can add 2/5 to both sides to get rid of the 2/5 on the left side:

0.5y - 2 2/5 + 2/5 = 1/2y + 2.4 + 2/5

Simplify the left side of the equation:

0.5y - 2 + 2/5 = 1/2y + 2.4 + 2/5

0.5y - 2 + 2/5 + 2/5 = 1/2y + 2.4 + 2/5 + 2/5

0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5

Combine like terms on each side:

(0.5y + 4/5) - 2 = (1/2y + 2.4) + 4/5

Simplify:

0.5y + 4/5 - 2 = 1/2y + 2.4 + 4/5

0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5

Combine like terms on each side:

(0.5y + 4/5) = (1/2y + 2.4) + 4/5

Simplify:

0.5y + 4/5 = 1/2y + 2.4 + 4/5

Combine like terms on each side:

0.5y = 1/2y + 2.4

Subtract 1/2y from both sides:

0.5y - 1/2y = 1/2y - 1/2y + 2.4

0 = 2.4

Solve for y:

0 = 2.4

This equation has no solution, so there is no value of y that satisfies the given equation.

Answer:

Step-by-step explanation:nosoulution

The 8-year-old car could be worth approximately $3000.

The graphs that show the association between two variables in a data collection are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.

The X-axis is used to represent the independent variable or characteristic, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.

In the graph attached below, we can see that when the age of the car is 8 years, the resale value of the car is between points 40 and 20.

Thus, The 8-year-old car could be worth approximately $3000.

(Refer to the image attached for the complete question and graph)

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Answer:

[(-7)+9]+(+4)=9+[-7+4]

Answer:

See graph below

Step-by-step explanation:

The equation r=5cosθ basically means the graph is going to be a circle with a radius of 5/2=2.5 to the right on the horizontal axis since it's cosine.

To graph the function r=5cosθ, we graph the function f(x) = 4cos(x), such that functional values are used as the corresponding values of θ and a radius of 2.5

The function is given as:

r=5cosθ

The above means that, we want to graph the function f(x) = 4cos(x), such that functional values are used as the corresponding values of θ.

The radius r is calculated using;

r = 5/2

r = 2.5

Hence, the graph of r=5cosθ has a radius of 2.5

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The side length of the triangle are

A triangle with given ratio of sides as 3 : 5 : 6 and a perimeter of 154 feet is calculated from the formula of perimeter which is

= a + b + c

where

a, b, and c are the dimensions of the side length of the triangle:

Using the values given in the problem we have

let the ratio be a multiple of x such that

154 = 3x + 5x + 6x

154 = 14x

x = 11

a = 3 * 11 = 33 feet

b = 5 * 11 = 55 feet

c = 6 * 11= 66 feet

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quadrilateral with both pairs of opposite sides congruent

What is a parallelogram?

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

If both pairs of opposite sides of a quadrilateral are congruent , then the quadrilateral is a parallelogram.

So, the option  I only is correct

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Answer:

[tex]x^{2} -3x+2[/tex]

Step-by-step explanation:

The length BC of the right triangle is 18 units.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The length BC of the right triangle can be found as follows:

Therefore, using proportion because triangle ABC is similar to triangle BDC.

x / 36 = 9 / x

cross multiply

x × x = 36 × 9

x² = 324

square root both sides of the equation

x = √324

x = 18 units

Therefore,

BC = 18 units

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An undecidable problem is one for which it has been demonstrated that it is impossible to develop an algorithm that always leads to the correct yes-or-no answer. Two examples are:

The halting problem is the problem of determining whether a computer programme will finish running or continue to run indefinitely based on a description of the programme and an input. Alan Turing demonstrated in 1936 that a general algorithm for solving the halting problem for all possible program-input pairs does not exist.

A "pathological" programme g, when called with some input, can pass its own source and input to f and then specifically do the opposite of what f predicts g will do. This case cannot be handled by any f. A key part of the proof is a mathematical definition of a computer and programme, known as a Turing machine; the halting problem is intractable over Turing machines.

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Answer:

g = 92

K = 91

h = 88

m = 89

Step-by-step explanation:

g = 92; because of vertical angle theorem

k = 91; because of vertical angle theorem

h = 88; because a line is 180 degrees in total so just subtract 180 - 92

m = 89; same thing as h but subtract 180 - 91

Answer:

Step-by-step explanation:

h=180-92=88

g=180-h g=180-88=92 or straight up 92 because the angle across is also 92

m=180-91=89

k=180-k m=180-89=91 or straight up the 91 because the angle across is 91

Answer:

-1.58

0.0571

Got it right on edge:)

Answer:

-1.58

0.0571

Step-by-step explanation:

EDGE2022

Answer:

y=(this is a fraction) 4/3 times x-3

Step-by-step explanation:

Answer:

m^2-11m+27

Step-by-step explanation:

Answer:

yh

Step-by-step explanation:

Answer: I'm guessing it would be a parabola, with the line going through -6 on the y-axis and passing through 2 and 6 on the x-axis, but we cannot see any answers, so therefore we can't answer it accurately.

Step-by-step explanation:

Since the the graph is not given it can be identified by the graph passing through the three coordinate points given.

Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The origin is located at (0,0).

We have a function that has a y-intercept of -6 and x-intercepts at (2,0) and (6,0).

Since, the graph is not given it cannot be identified clearly what would be the possible graph. But the following points can be concluded -

Any graph passing through the 3 points will be the required graph.

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The best option regarding the solutions of the trigonometric equation 2sin(θ) + 1 = 0 in this problem is given as follows:

d. θ = 330º + 360ºn, θ = 210 + 360ºn.

The trigonometric equation for this problem is defined as follows:

2sin(θ) + 1 = 0

Then, isolating the sine, we have that:

2sin(θ) = -1

sin(θ) = -1/2.

The values of theta for which the sine is of negative 1/2 are given as follows:

θ = 210º, θ = 330º.

(as the sine is negative for the third and fourth quadrant, hence we have to find the equivalent angle to 30º in each of these quadrants).

One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option d is correct.

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Answer:

A

Step-by-step explanation:

The figure that illustrates a reflection in line k is figure A.

We have given that the figure

We have to determine the correct option a reflection in line k.

A reflecting line is a perpendicular bisector. When a figure is reflected, the reflecting line is the perpendicular bisector of all segments that connect pre-image points to their corresponding image points.

Therefore option A is correct.

Therefore the figure that illustrates a reflection in line k is figure A.

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The equation that best represents the line on the first graph is

5x + 3y = 3

Option C is the correct answer.

The equation that best represents the line on the second graph is

x - y = -7

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Pick two coordinates that the line passes through in each graph.

First graph:

(0, 1) and (-3, 6)

m = (6 - 1)/ (-3 - 0) = 5/-3 = -5/3

(0, 1) = (x, y)

1 = (-5/3)0 + c

c = 1

Now,

y = (-5/3)x + 1

3y = -5x + 3

5x + 3y = 3

Second graph:

(0, 7) and (-5, 2)

m = (2 - 7) / (-5 - 0) = -5/-5 = 1

(0, 7) = (x, y)

7 = 1 x 0 + c

c = 7
y = x + 7

x - y = -7

Thus,

The equation of the first graph is 5x + 3y = 3.

The equation of the second graph is x - y = -7.

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a) Since data were collected for "score quantitative" variable(s), the correct graph to make is a histogram

b) For this one the class width is given to be the following: class with = 10 .  See the attachment for table

c)  See the attachment for the graph

What is histogram ?

A histogram is a collection of rectangles with bases and the gaps between class boundaries. All of the rectangles are contiguous, and each rectangle bar represents some kind of data. Rectangles have heights that are proportionate to the corresponding frequencies for both related and dissimilar classes.

a) Since data were collected for "score quantitative" variable(s), the correct graph to make is a histogram

b) For this one the class width is given to be the following: class with = 10 .  See the attachment for table

c)  See the attachment for the graph

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Answer:

96π or 301.59 in³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3·π·6²·8

= 96π or 301.59

Answer:

301.58  

Step-by-step explanation:

Answer:

Use Pythagorean to solve for the missing side.

#4

#5

#6

Answer:

At least 15 hours

Step-by-step explanation:

First, subtract the $75 that her parents will contribute:

250 - 75

= 175

So, from babysitting, she will have to raise $175

Divide this by 12 to find how many hours she has to babysit:

175/12

= 14.583

We have to round this up to a whole number, which will be 15.

So, Missy will have to babysit for a minimum of 15 hours

Answer:

b. cubic

Step-by-step explanation:

hope this helps :)

A triangle with side lengths 12,16, and 20 is a right triangle.

A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.

The formula states that in a right triangle:

The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.

(Hypotenuse)² = (Base)² + (Altitude)²

c²=a²+b²

The three numbers which satisfy the above formula are the Pythagorean triplets

properties of right angle:

The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.

The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.

consider c=20 a=12, b=16 substitute in above formula:

20²=12²+16²

⇒400=144+256

⇒400=400

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The reflection that maps ST onto itself is a reflection in the line y = -7.

What is the line of symmetry?

Reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.

A reflection maps a geometric figure onto itself by "flipping" it across a line of symmetry. In this case, the reflection maps ST onto itself, so the line of symmetry must be a line that ST is reflected across.

To find this line, we can look at the two given vertices of ST, S(-7, 1) and T(-7, 5).

We can see that these points have the same x-coordinate (-7), which means that the line of symmetry must be a vertical line passing through the x-coordinate of -7.

Therefore, the reflection that maps ST onto itself is a reflection in the line y = -7.

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