When sin θ = - 3/5 and the terminal side of θ lies in quadrant III, then cos θ is -4/5
What is terminal side of an angel?The terminal side of an angle refers to the line that intersects the initial line to make an angle
In the problem the terminal side is said to be in the third quadrant and the in the third quadrant sin θ = - 3/5
sin θ = opposite / hypotenuse
using Pythagoras the adjacent is 4, in third quadrant we have -4
cos θ = - adjacent / hypotenuse = -4/5.
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The sum of the measures of the interior angles of a polygon is 5 times the sum of the measures of the exterior angles. How many sides does the polygon have
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
1. Which word doe not have a imilar meaning to - condemn
critique
diparage
criticize
cenure
Among the given four options, the word that doesnot have similar meaning to condemn is "critique".
What is the meaning of word condemn?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.
Make two sentences using the word condemn.The sentences are given below:
The judge condemned the defendant for his crimes, sentencing him to life in prison.The community condemned the company for their unethical business practices and called for a boycott.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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Select the equation in standard form for the line that passes through (-9, 8) and (1, -12).
A) x + 2y = -20
B) 2x + y = -13
C) 2x+y = 7
D) 2x+y = -10
E) x + 2y = 20
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.
Select the solutions of the original equation?
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
[tex]343^{-4/3}[/tex]simplify
The value of the expression [tex]343^{-4/3}[/tex] is 1/2401.
What is an expression?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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What is: 1 2/3 + 1 7/6 =
Answer:
Step-by-step explanation:
12/3=24/6
then, 24/6+17/6=41/6
Graph the following system of equations.
y = 3x + 15
3x + 3y = 9
What is the solution to the system?
There is no solution.
There is one unique solution (-3, 6).
There is one unique solution (0, 15).
There are infinitely many solutions.
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:
What is the Pythagorean triplet of 16?
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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Jordann is painting her kitchen. To get the color she wants, she mixes 6 parts red paint and 2 parts yellow paint.
1) Write the ratio of parts red paint to parts yellow paint as a fraction.
2) Then, write the unit rate of red paint to yellow paint. (How many parts of red paint does she need for every 1 yellow part?)
What color do you imagine her kitchen will be?!
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
45 PTS no need to explain.
Answer:
B. SAS-----------------------------------
The two triangles have 2 sides marked as congruent and the included angles are congruent as vertical angles:
AC ≅ EC,BC ≅ DC,∠ACB ≅ ∠ECDThis gives us SAS congruence postulate.
The matching choice is B.
Can Sombody help me fast will mark brainliest
Answer:
2950
Step-by-step explanation:
what is the volume of prism
answer = volume f a prism is V=Bh
What is a 69 sided shape called?
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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HELP PLEASE!!!!!!!!!!!!!!!
Answer:
Its the second image
Step-by-step explanation:
A submarine descends 175 ft underwater in 5 minutes. The rate of descent is constant. What is the rate of descent per minute?
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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how do I get the surface area of the shape
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
A rigid body exists in an n-dimensional space. How many coordinates are needed to specify the position and orientation of this body in this space
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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a.) A new cell phone costs $625. Its sale price is $500. What’s the percent of decrease?
b.) If the final cost is $537.50, what was the rate of the sales tax?
Answer:
175$
Step-by-step explanation:
The picture below shows two electrically charged objects.
+ = positive
-= negative
What will happen to the two objects in the picture as they are slowly moved toward each other?
OA.
The objects will be pulled toward each other
OB
The objects will push away from each other
OC.
The objects will both be pushed in the same direction
OD.
The objects will not affect each other
Answer:
B. The objects will push away from each other
Step-by-step explanation:
I did the quiz :)
hope this helped!
Please help ASAP. Which of the following are solutions of the system of linear inequalities? y > 4x+1 y≥x+4.
Using graphical method, the solution to the system of linear inequality (x, y) are (1, 5)
What is System of Linear InequalityA 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;
y > 4x + 1y ≥ x + 4This 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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if crystals room measures 10.5 ft long and 7 feet wide and 9 feet tall how much paint will be needed to paint her bedroom
Answer:
She needs 18,731.6 Litres of paint to paint her bedroom.
Step-by-step explanation:
Given;Length (l) = 10.5 ftWidth (w) = 7 feetHeight (h) = 9 feetTo Find;How much paint will be needed to paint her bedroom.Formula;V = l × w × hSo,
V = l × w × h
V = 10.5 × 7 × 9 feet
V = 661.5 cubic feet
We know that,
1 cubic foot = 28.317 litresSo,
661.5 × 28.317 = 18,731.6 Litres
Thus, She needs 18,731.6 Litres of paint to paint her bedroom.
HELP! THIS IS DUE TODAY, AND I WILL MARK BRAINLEST!!!!
Answer:
decreasing
Step-by-step explanation:
the graph is going into negative y values.
How do you find f inverse?
Inverse of function is written by using notation f⁻¹
What is inverse of function?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.
How do we find f inverse?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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11. Solve the inequality.
g-6> -1
Answer:
g>5
Step-by-step explanation:
Simply add 6 to both sides to get g>5
What are the 7 different triangles?
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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A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$), such that there is exactly one card for any given rank and suit. Two of the suits ($\spadesuit$ and $\clubsuit$) are black and the other two suits ($\heartsuit$ and $\diamondsuit$) are red. The deck is randomly arranged. What is the probability that the top card is a $\heartsuit$
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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please help me, will mark you brainliest !!
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.
A newsletter publisher believes that less than 68% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.02 level to substantiate the publisher's
claim?
State the null and alternative hypotheses for the above scenario.
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.
What is the hypothesis?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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What is similarity example?
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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At summer camp the ratio of boys to girls was 2:7. If there were 28 boys, how many girls are there?
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.