6. If sin θ = - 3/5and the terminal side of θ lies in quadrant III, find cosθ .

The seven different types of triangles are Equiangular Triangle , Acute Angled Triangle , Right Angled Triangle , Obtuse Angled Triangle , Equilateral Triangle , Isosceles Triangle and Scalene Triangle .

The Triangle is defined as a polygon with three sides having three vertices .

The Seven different types of Triangles are :

(i) Equiangular Triangle :

It is a type of triangle in which the measure of all the three sides of triangle are equal .

(ii) Acute Angled Triangle :

It is a type of triangle in which all the angles of triangle are acute , that means angle is less than 90 degree .

(iii) Right Angled Triangle :

It is the type of triangle in which the measure of one angle is 90 degree .

(iv) Obtuse Angled Triangle :

It is defined as a triangle in which one angle of the triangle is obtuse , that means the angle is greater than 90 and less than 180 degree .

(v) Equilateral Triangle :

It is a triangle in which the measure of all the sides of the triangle are equal .

(vi) Isosceles Triangle :

It is a type of triangle in which the measure of the two sides of the triangle are equal .

(vii) Scalene Triangle :

It is defined as a triangle in which the measure of all the sides of triangle are different ,

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Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

decreasing

Step-by-step explanation:

the graph is going into negative y values.

When two figures have the same shape but differ in size, they are said to be similar figures. In other words, two figures are said to be comparable when they have many characteristics but aren't necessarily identical.

For instance, despite appearing to be the same size, the sun and moon are actually different sizes. However, because both of our figures are circular in shape, we are comparable figures. This phenomenon is seen as a resemblance property while taking shape and distance into consideration.

When two shapes, such triangles, polygons, or quadrilaterals, have the same dimension or common ratio but a different size or length, they are referred to as comparable figures in geometry.

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Answer:

129 m²

Step-by-step explanation:

Let's start by finding the areas of the triangles on the sides:

4×6÷2=12 (height times base divided by two)

Then we multiply by 2 as there are 2 of them

12×2=24

Then we find the areas of the rectangles:

5×7=35

35×3=105 (there are three)

Finally we add them:

105+24=129 m²

Answer:

B. The objects will push away from each other

Step-by-step explanation:

I did the quiz :)

hope this helped!

The value of the expression [tex]343^{-4/3}[/tex] is 1/2401.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]343^{-4/3}[/tex]

This can be written as,

1/[tex]343^{4/3}[/tex]

343 = 7³

= 1/[tex]7^{3\times4/3}[/tex]

= 1/[tex]7^4[/tex]

[tex]7^4[/tex] = 7 x 7 x 7 x 7 = 49 x 49 = 2401

= 1/2401

Thus,

The value of the expression is 1/2401.

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In linear equation, 35 feet per minute is the rate of descent per minute.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.        

                         Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

It’s 35 feet per minute. 175 divided by 5 equals 35.

   A submarine descends =  175 ft

                   Time = 5 minutes

         The rate of descent is constant = 175/5

                                             = 35 feet per minute

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A 69 sided shape called"Hexacontakaienneagon".

Naming a polygon by its number of sides requires that we know the appropriate:

3=tri, 4=tetra, 5=penta, 6=Hexa, 7=hepta, 8=octa, 9=Nona or ennea, 10=deca,11=hendeca,12=dodeca,13=triskaideca,14=tetradeca,15=pentadeca,16=hexadeca,17=heptadeca,18=octadeca,19=enneadeca,20=icosa

For polygons with 3 through 20 sides, simply add "gon" to the prefixes at the left.

For more than 20 sides, we "construct" the name by using so-called combining prefixes:

For Tens Digit:

20=icosi,30=triaconta,40=tetraconta,50=pentaconta,60=hexaconta,70=heptaconta,80=octaconta,90=enneaconta

for One's Digit:

1=hena,2=di,3=tri,4=tetra,5=penta,6=hexa,7=hepta,8=octa,9=ennea

60                and      9    

hexaconta    kai     ennea

As per the given information, 69 is defined as "Hexacontakaienneagon".

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Among the given four options, the word that doesnot have similar meaning to condemn is "critique".

The word "condemn" means to express strong disapproval or criticism of something or someone, often in a formal or official manner. It can also mean to pronounce a judgment of guilt, especially in a court of law. It implies a severe judgment or punishment. Condemn also implies the declaration of something being morally wrong or unacceptable. It is a strong word that carries a sense of condemnation or blame.

The sentences are given below:

The word that does not have a similar meaning to "condemn" is "critique".

"Condemn" means to express strong disapproval of something or someone, often in a formal or official manner.

"Criticize" means to express disapproval or to find fault with something or someone

"Censure" means to express strong disapproval or criticism of something or someone, typically in a formal or official manner.

"Disparage" means to speak or write about in a negative way; to belittle or criticize.

"Critique" means to evaluate (a work of art, literary work, etc.) in terms of its strengths and weaknesses; to give an analysis or evaluation of something."Critique" is different because it is an analysis or evaluation of something, whereas the other words are about expressing disapproval or criticism.

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Inverse of function is written by using notation f⁻¹

The function that can be reversed into another function is termed as inverse function. It is also called anti function. There are different types of inverse function such as inverse trigonometric function, inverse rational function, inverse log function and so on.

We can determine an inverse function by interchanging the elements that present in the given expressions.

Inverse of the function f is denoted by notation f⁻¹

let, we have given a function, f(x) = 8x + 9

now, we need to find the inverse of the above function.

in the first step we write the function using y and set equal to x

                      x = 8y +9

in the next step, we arrange to make the y subject,

                 x - 9 = 8y

               8y = x - 9

                y = (x - 9)/ 8

 use the notation f⁻¹ = (x - 9)/ 8

this is the inverse of function f.

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Answer:

She needs 18,731.6 Litres of paint to paint her bedroom.

Step-by-step explanation:

So,

V = l × w × h

V = 10.5 × 7 × 9 feet

V = 661.5 cubic feet

We know that,

So,

661.5 × 28.317 = 18,731.6 Litres

Thus, She needs 18,731.6 Litres of paint to paint her bedroom.

Answer:

98 girls

Step-by-step explanation:

Every 2 boys there are 7 girls. So, there are 28 boys we need to find how many more times boys there are so, 28/2=14 and then we would multiply 14*7=98. So, 98 girls.

Answer:

13

Step-by-step explanation:

Divide the total amount he paid by the amount of mugs he bought to find out how much each mug cost.

54 ÷ 6 = $9

Each mug is nine dollars, INCLUDING THE SALE which is $4 off.

Add $4 to $9 to find the regular price

$4 + $9 = 13

Answer:

The awnser should be $11

Step-by-step explanation:

You would need to divide the total price Luis pays, $51 by the amount he got 3. From there you would get 17=p but you would have to subtract it by the sale which was $6 and you get $11.

Answer:

1. 6:2

2.for every 1 yellow paint, she needs 3 red paints

3.an orange

Step-by-step explanation:

1. It would be 6:2 because for every 2 parts yellow she needs 6 parts red

2. Since the ratio is first 6:2, just divide it by 2 since there is 2 yellow and it's asking how much red you need for 1 yellow

Answer:

-----------------------------------

The two triangles have 2 sides marked as congruent and the included angles are congruent as vertical angles:

This gives us SAS congruence postulate.

The matching choice is B.

Answer: D

Step-by-step explanation:

Since we are given 2 points, we can use that to find slope, convert to slope-intercept form, and then manipulate it to be standard form. Standard form is ax+by=c.

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-8}{1-(-9)} =\frac{-20}{10} =-2[/tex]

With m=-2, we can plug it into slope-intercept form to find the y-intercept.

[tex]y=-2x+b[/tex]         [plug in point]

[tex]8=-2(-9)+b[/tex]    [multiply]

[tex]8=18+b[/tex]             [subtract both sides by 18]

[tex]b=-10[/tex]

With m and b, we can plug in the equation.

[tex]y=-2x-10[/tex]        [add both sides by 2x]

[tex]2x+y=-10[/tex]

This gives D as the answer.

Answer:

g>5

Step-by-step explanation:

Simply add 6 to both sides to get g>5

Using graphical method, the solution to the system of linear inequality (x, y) are (1, 5)

A mathematical statement called a linear inequality depicts the relationship between two different variables, typically on a graph. A line or border that divides the area of all the points that fulfill the inequality from the areas of the points that do not constitutes the graph of a linear inequality. A set of lines in the coordinate plane that represent the equations of a system of linear inequalities is called a graph. The region of the coordinate plane where each of the inequalities holds can be seen by joining these lines to create a graph.

The inequality given are;

This can be solved using a graphing calculator;

The point of intersection shows the solution to the graph

The solution to the linear inequalities (x, y) are (1, 5)

The broken lines in the graph is from the greater than inequality, while then straight unbroken lines is the inequality with greater than or equal to sign.

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Answer:

Step-by-step explanation:

12/3=24/6

then, 24/6+17/6=41/6

Null hypothesis (H0): The proportion of newsletter readers who own a Rolls Royce is greater than or equal to 0.68.

Alternative hypothesis (H1): The proportion of newsletter readers who own a Rolls Royce is less than 0.68.

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

In this scenario, we can set up the null and alternative hypotheses as follows:

Null hypothesis (H0): The proportion of newsletter readers who own a Rolls Royce is greater than or equal to 0.68.

Alternative hypothesis (H1): The proportion of newsletter readers who own a Rolls Royce is less than 0.68.

In order to determine if there is sufficient evidence to support the publisher's claim, we would need to conduct a statistical test to determine if the proportion of newsletter readers who own a Rolls-Royce is significantly less than 0.68. The significance level of 0.02 is used to determine the level of evidence required to reject the null hypothesis.

If we run a test, if the p-value is below 0.02, we can reject the Null hypothesis and conclude that the evidence is sufficient to show that the proportion of newsletter readers who own a Rolls Royce is less than 0.68, and thus the publisher's claim is substantiated.

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answer = volume f a prism is V=Bh

Answer:

Its the second image

Step-by-step explanation:

Answer:

175$

Step-by-step explanation:

Answer:

polygon has 12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

given the sum of the interior angles is 5 times sum of exterior angles, then

sum = 5 × 360° = 1800° then

180° (n - 2) = 1800 ( divide both sides by 180 )

n - 2 = 10 ( add 2 to both sides )

n = 12

Thus the polygon has 12 sides

The probability that the top card is a suit of heart as calculated from the data given is found to be 4 / 663.

We are given that ,

The number of cards in the deck = 52

Number of 3's in the deck = 4

Number of 8's in the deck = 4

As because all the card deck's have 4 cards of same number in different suits.

Probability is calculated as ,

P = required outcome / Total possible outcomes

Therefore, when we can choosing cards without replacing them we get,

P(top card is a 3) = 4 / 52

P(second being 8) = 4 / 51

P(top card is a 3 and second 8)

=4/52 x 4/51

= 16 / 2652

= 4 / 663.

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Answer:

2950

Step-by-step explanation:

Answer:

There is one unique solution (-3, 6)

Step-by-step explanation:

Desmos graphing calculator helps a lot with this stuff

Answer: b) there is only one unique solution (-3, 6)

Step-by-step explanation:

The Pythagorean triplet of 16 is (8, 15, 17).

This can be calculated using the Pythagorean theorem, which states that in any right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse. Therefore, given a number, we can find a Pythagorean triplet by calculating the squares of the two legs and then finding the hypotenuse.

Formula:

a² + b² = c²

Find the square of the number.

16² = 256

Subtract the square from the number to get one leg of the triangle.

16 - 256 = -240

Take the square root of the result.

√(-240) = 8

Add the square to the number to get the other leg of the triangle.

256 + 16 = 272

Take the square root of the result.

√(272) = 15

Add the two legs together to get the hypotenuse.

8 + 15 = 23

Take the square of the result.

23² = 529

Subtract the sum of the two legs from the hypotenuse.

529 - 23 = 506

Take the square root of the result.

√(506) = 17

Therefore, the Pythagorean triplet of 16 is (8, 15, 17).

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The number of coordinates needed to specify the position and orientation of a rigid body in an n-dimensional space is n.

A rigid body is an object that maintains its shape and size while in motion. In order to specify the position and orientation of a rigid body in an n-dimensional space, we need to know its coordinates in each of the n dimensions. The coordinates describe the location of the body in the space and the orientation of the body relative to the space's coordinate system. Thus, n coordinates are required to fully specify the position and orientation of a rigid body in an n-dimensional space.

However, it is important to note that if the rigid body is placed in a space that's non-Euclidean, other parameters could be necessary to fully describe the rigid body position and orientation.

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