The value of a particular trigonometric expression that is cos 2θ under the third quadrant is -119/169
Given:
sin θ = -⁵/₁₃
This can be seen from the trigonometric identity.
cos 2θ = 1 - 2sin²θ
From trigonometric identities, we know that;
cos 2θ = 1 - 2sin²θ
Thus;
cos 2θ = 1 - 2(-⁵/₁₃)²
cos 2θ = 1 - 2(25/169)
cos 2θ = 119/169
since cos θ is negative in the third quadrant, then we have;
cos 2θ = -119/169
so; cos θ is negative in the third quadrant, so ;
cos 2θ = -119/169
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graph the function
g(x)=3x^2+1
Answer:
x=1, y=4;
x=2, y=13
Step-by-step explanation:
Based on the graph which congruence theorems or postulates are reasons why these graphs are equal?
Triangles DEF and JKL can be proven to be congruent triangles based on:
C. ASA
E. AAS
F. LA
What is the ASA Congruence Theorem?The ASA congruence theorem states that if two triangles that are have two pairs of corresponding congruent angles and a pair of corresponding included congruent sides, then both triangles are congruent to each other.
What is the LA Congruence Theorem?The LA congruence theorem states that two right triangles are congruent if they have a pair of congruent legs and a pair of congruent angles that are corresponding to each other.
What is the AAS Congruence Theorem?The AAS congruence theorem states that two triangles with two pairs of congruent angles and a pair of congruent non-included sides are congruent.
From the image given, triangles DEF and JKL can be proven to be congruent triangles using the LA, AAS, and ASA congruence theorems.
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If a rectangle is not a square, what is the greatest number of lines of symmetry that can be drawn?
Answer: B
Step-by-step explanation: what I did was I drew a square and folded it if both sides matched i knew that that was a line of symmetry
Which of the following quadratic graphs has only one zero?
a. y= -2x^2 -4x+8
b. y=x^2+8x+16
c. y=x^2-16
y=2x^2-8x
The quadratic graph which has only one zero among the answer choices as given in the task content is; Choice B; y=x^2+8x+16.
Which quadratic graph among the given answer choices as given in the task content has only one zero?It follows from simplification of quadratic equations in a bid to solve for their zeros by means of factorisation that;
The given quadratic equations in answer choice B can be evaluated for its zeroes as follows;
0=x²+8x+16
0 = x² +4x +4x +16
(x+4) (x+4) = 0
Hence, it follows that x = -4 is the only zero of the given quadratic graph in discuss and hence, Choice B is correct.
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(02.02)A shape is shown on the graph:
24
-5 -4 -3 -2 -1
2-
C
Á
B
A
0
0
-24
-3-
-4-
-5-
-6-
-8-
-2
Which of the following is a reflection of the shape?
Based on the shape shown on the graph, the reflection of the shape would be b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.
What shape is the reflection?The coordinate grid that the shape would be reflected across is the y axis to get a reflection in the negative side of the x axis.
The first reflection would be of the point that is (2,2). It would be reflected to become (-2, 2).
The second reflection would be of point (2, 6) which would then be reflected to become (-2, 6).
Finally the third point would be of point (4, 2) which would then become (-4, 2).
In conclusion, the reflection was across the y axis.
Options include:
a) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 4, 2 and negative 4, 6.b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.c) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 2, 4 and negative 6, 2.d) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 2, negative 4 and 6, negative 2.Find out more on reflection at https://brainly.com/question/1908648
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HELP! QUICK!!!!!!!!!!!!!!!
Answer:
Q₃ = 185
Step-by-step explanation:
the first step is to find the median of the data set
the median is the middle value of the data arranged in ascending order
112 , 130 , 132 , 140 , 149 , 151 , 163 , 172 , 185 , 190 , 200
↑ middle value
median = 151
the upper quartile Q₃ is the middle value of the data to the right of the median
163 , 172 , 185 , 190 , 200
↑ middle value
upper quartile Q₃ = 185
Geometry: complete these proofs, ASAP!!!
Answer:
1. Given.
2. <5 is supplementary to <4.
2. Angles 5 and 4 are consecutive angles, and by the consecutive angles theorem, the two are supplementary.
3. m<4 + m<5 = 180
3. By the definition of supplementary angles, m<4 + m<5 = 180.
4. m<2 = m<4
4. Angles 2 and 4 are corresponding angles, and by the corresponding angles postulate, the two are congruent. By the definition of congruent angles, m<2 = m<4.
5. m<5 + m<2 = 180
5. Substitution property of equality.
In the 2020 presidential election, Indiana had 11 electoral votes. That was 29 votes fewer than the number of electoral votes in Texas. Write and solve an equation to find the number of electoral votes in Texas.
Answer:
40
Step-by-step explanation:
11+29=40
Answer:
B)0 to 21 electoral votes
Step-by-step explanation:
edge 2023
20 points and marked brainlyist help me ASAP
Answer + Step-by-step explanation:
(a)
Check the attached image.
(b)
Range of sample means : 7.5 - 5.75 = 1.25
(c)
The closer the range of the sample means is to 0 ,
the more confident they can be in their estimate . [tex]\huge \checkmark[/tex]
The farther the range of the sample means is from 0 ,
the more confident they can be in their estimate .
The mean of the sample means will tend to be a better estimate
than a single sample mean . [tex]\huge \checkmark[/tex]
A single sample mean will tend to be a better estimate
than the mean of the sample means .
Heron's Formula:
The two bases of a trapezoid are 3 and 11 and the altitude is 8. What is the area of the trapezoid? Use Heron's formula.
Answer:
√s(s-a) (s-b) (s-c)
Step-by-step explanation:
123456
herons formula
Please help me. i dont get it
Step-by-step explanation:
let's say one integer is X ....
so , Another one is (X -4).....
so , X × (X - 4) = 45
x² - 4x - 45 = 0
x² - 9x + 5x - 45 = 0
x(x - 9) +5(x - 9) = 0
(x-9) × (X+5) = 0
x-9 = 0 OR x+5 = 0
X= 9 X= -5
X is not a negative integer ......
so , X = 9
X-4 = 5 .......
Marcia made 10 bracelets for 5 friends. Jen made 12 bracelets for 4 friends. Are these ratios/rates equivalent?
Answer:
These ratios are not equivalent as Marcia is 2 per friend while Jen is 3 per friend
Step-by-step explanation:
Marcia made 10 bracelets for 5 friends where each friend will be getting 2 bracelets with a 1:2 ratio
Jen made 12 bracelets for 4 friends where each friend will be getting 3 bracelets with a 1:3 ratio
The equation of a circle is x2 y2 cx dy e = 0. if the radius of the circle is decreased without changing the coordinates of the center point, how are the coefficients c, d, and e affected?
While E will increase, C and D won't change.
What is coordinate geometry?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
Due to the fact that the circle's equation is,
Nevertheless, we are aware of the circle's equation.
[tex]x^{2}+y^{2}+C x+D y+E=0[/tex]
(By figuring out the circle's equation[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex], where r is the radius and (h,k) is the center)
[tex]x^{2}+y^{2}+2 h x+2 k y+\left(h^{2}+k^{2}-r^{2}\right)=0[/tex]
The following equation is compared to the generic equation above.
Our results are C = 2h, D = 2k, and E [tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
As a result, C will be unchanged if r lowers ( because C is free from r)
D won't be effected ( because D is also free from r)
E will, however, rise if r falls.
E[tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
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Of the songs in ivan's music library, 4/5 are rock songs. of the rock songs, 3/4 feature a guitar solo. what fraction of the songs in ivan's music library are rock songs that feature a guitar solo?
In this case this "of" means we will multiply the two fractions "4/5 × 3/4" exists 3/5.
What are fractions?That operation exists utilized to 'simplify' a fraction (reduce it to lower terms).
When there exists no number that goes into both the top and bottom numbers, then the fraction is in simplest form (lowest terms).
We are looking for 4/5 of 3/4. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply
top × top and bottom × bottom
4/5 × 3/4 exists 4 × 3 on top and 5 × 4 on the bottom.
= (4 × 3)/(5 × 4)
= 12 / 20
= 3 / 5
Therefore, the correct answer is 3/5.
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In two or more complete sentences, identify the parent function, and describe the transformations that were applied to
obtain the graph, f(x) = √2x+6 -1
Find the values of a and b.
Answer:
a = 144
b = 67
Step-by-step explanation:
Where a transversal meets parallel lines, consecutive interior angles are supplementary.
Anglesa° +36° = 180° . . . . . . consecutive angles are supplementary
a = 144 . . . . . . . . . . divide by ° and subtract 36
b° +113° = 180° . . . . . . consecutive angles are supplementary
b = 67 . . . . . . . . . . divide by ° and subtract 113
Compare -2 and 5. Which of the following is true?
1-21 > 151 and -2>5
1-21=151 and -2<5
1-21<151 and -2<5
1-21 > 151 and -2<5
Answer:
1-21>151 and -2>5
I think so.
how many rectangles of different sizes can be formed from 36 identical rectangles
The number of rectangles of different sizes can be formed from 36 identical rectangles is 5
Number of rectangles
From the question, we have proofs of;
Total number of identical squares = 36
Now, let the measurement of the side of each square be 1 unit
We have that the formula for area of a square is;
Area of a square = Side × Side square units
We have the area of the square to be;
Area of each square = 1×1 = 1 square units
This is so because the rectangles are identical both in length and width
Let's find the area of the identical squares
Area of total 36 identical squares
= 36×1 square units
= 36 square units
So Area of the rectangle = length × breadth square units
if the rectangles are formed from 36 identical squares then their areas are the same
Total area of required rectangles = 36 square units
It can be written as;
36 = length × breadth
36 = 1×36 36 = 2×1836 = 3×1236 = 4×936 = 6×6(1,36) , (2,18),(3,12),(4,9),(6,6) are the different rectangles formed from 36 identical squares
Total rectangles = 5
Thus, the number of rectangles of different sizes can be formed from 36 identical rectangles is 5
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Lorie ordered a shed to hold her gardening supplies. The shed had a length of 16.25 ft, a width of 11 ft, and a height of six and one fifth ft. Determine the volume, V, using the formula V = lwh.
The volume of the shelter is 1108.25 cu. ft.
What is a Cuboid?A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.
The volume is the space occupied by it in a three-dimensional figure.
The volume of a cuboid whose length is l,
The width is w, and
Height is h.
V = length * Width * Height
V = lwh
The length of the shed is 16.25 ft.
The width of the shed is 11 ft.
The height of the shed is 6 1/5 ft
The height of the shed is 31/5 = 6.2ft.
The volume of the shed is given by
V = 16.25 * 11 * 6.2
V = 1108.25 cu.ft
Therefore, the shed has a volume of 1108.25 cu.ft.
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On a coordinate plane, a circle has a center at (0, 0). Point (0, negative 10) lies on the circle.
A circle centered at the origin contains the point
(0, –9). Does (8, StartRoot 17 EndRoot) also lie on the circle? Explain.
No, the distance from the center to the point
(8, StartRoot 17 EndRoot) is not the same as the radius.
No, the radius of 10 units is different from the distance from the center to the point
(8, StartRoot 17 EndRoot).
Yes, the distance from the origin to the point
(8, StartRoot 17 EndRoot) is 9 units.
Yes, the distance from the point (0, –9) to the point (8, StartRoot 17 EndRoot) is 9 units.
The distance between point [tex](8, \sqrt{17})[/tex] and the center (0,0) is of 9 units, which is less than the radius, hence the correct option is:
Yes, the distance from the origin to the point [tex](8, \sqrt{17})[/tex] is of 9 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, we have a circle with center at (0,0) and radius 10. Hence, every point that is less than 10 units of distance from point (0,0) will be on the circle.
The distance of [tex](8, \sqrt{17})[/tex] is:
[tex]D = \sqrt{(8 - 0)^2+(\sqrt{17} - 0)^2}[/tex]
[tex]D = \sqrt{81}[/tex]
D = 9 units.
9 < 10, hence the correct option is:
Yes, the distance from the origin to the point [tex](8, \sqrt{17})[/tex] is of 9 units.
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Help!!! Brainliest to 1 or 2 answer!!
Answer:
35-17=3y
Step-by-step explanation:
3y+17=35
-17 -17
3y=35-17
how to solve problem in the document
A blimp is 1600 meters high in the air and measures the angles of depression to two stadiums to the east of the blimp. if those measurements are 71.7° and 25.2°, how far apart are the two stadiums?
The two stadiums are 2,871 meters
A blimp = point A
stadium 1 = point B
stadium 2 = point C
height of the blimp , AD = 1600
depression angle of stadium 1 , ∠y = 71.7°
depression angle of stadium 2 , ∠x = 25.2°
distance between the two stadiums = d
So, it forms 2 triangles ABD and ACD,
Using the trigonometric ratios,
tan θ = Altitude / Base
DC = AD × tan (90° - x)
= 1600 × tan( 90° - 25.2° )
= 1600 × cot(25.2°)
= 1600 × 2.13
DB = AD × tan (90° - y)
= 1600 × tan( 90° - 71.7° )
= 1600 × cot(71.7°)
= 1600 × 0.33
∴ d = DC - DB
= 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]
= 2,871 meters
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What must be added to: (a) x-y + 4z to get 5x - 4y + 8z?
Answer:
4x-3y+4z
Step-by-step explanation:
There are lot's of process to answer it but i will show one easy way to find the answer.
To find the required answer we need to subtract 5x - 4y + 8z by x-y + 4z, we get
5x - 4y + 8z
-x + y - 4z [Note: while subtracting we must change the sigh that one ___________who we are subtracting]
4x-3y+4z which is a required answer
Answer:
4x - 3y + 4z
Step-by-step explanation:
Let the unknown value that we have to add be 'a'.
Let us make an expression like this.
x -y + 4z + a = 5x - 4y + 8z
Now make 'a' the subject of the equation.
a = 5x - 4y + 8z - x + y - 4z
Now combine like terms.
a = 5x - x - 4y + y + 8z - 4z
a = 4x - 3y + 4z
Now let us check whether the answer is correct or wrong.
We can replace 'a' with ( 4x - 3y + 4z ).
Let us see.
x - y + 4z + 4x - 3y + 4z
Combine like terms.
5x - 4y + 8z
Yes, we are getting the same answer!
Therefore,
we need to add 4x - 3y + 4z to get 5x - 4y + 8z to x - y + 4z.
4. Emily's house has a chimney. What is the volume of her chimney?
4 in.
9 in.
12 in.
3 in.
4 in.
6 in. step by step pls i give brainliest and 80 points
Answer:
[tex] {216 \: in}^{3} [/tex]
Step-by-step explanation:
Split the chimney into 2 rectangular prisms. One is the short one, and the other is the tall one.
The dimensions of the short prism are 4 x 3 x 2. The volume of that prism is found by multiplying those numbers together, which is 24.
The dimensions of the tall prism are 4 x 4 x 12. The volume of that prism is 192.
Adding those 2 volumes together, you will get the volume of the composite figure. 192 + 24 = 216
Volume is always in cubic units
. Rashad is conducting an experiment at his high school to see how people feel about the school dress code. 1. Explain how Rashad could collect data to ensure that it is a random sample of the population. 2. Suppose Rashad has collected his data and has organized it in the table below. Create a visual plot of the data in the table by constructing a bar graph. 3. What is the average view of the dress code? How did you come to this conclusion? 4. The dress code will be changed if more than 60% of the school feels like a change is needed. If 40% of this majority agrees on the same change, that will be what is done with the dress code. Will the dress code change? Do we know which option will occur? Be sure to explain your reasoning.
Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population.
How should Rashad proceed with the random sampling?Step 1: He should identify and decide which population he wants to study
Step 2: He should decide the size of the sample. He can do this using a sample size calculator.
Step 3: Select the Sample Randomly using:
Lottery technique; orRandom Number Technique.It is to be noted that the lottery and Random Techniques can be manual or computer simulated.
The sample bar graph for the above sample is attached.
What is the average view of the dress code?About 48 Students (boys and girls combined) indicated that the dress code is nice.13 said it wasn't nice6 on the average indicated that there were indifferent. If 40% of this majority agrees on the same change, that will be what is done with the dress code, will the dress code change?40% of 60% is not likely to catalyze a change in the needed change. A more proper percentage should be 90%.
Do we know which option will occur?Based on the figures given, 72% of the students agree that the dress code is nice (that is , it requires not change).
This means that it is highly unlikely that any changes will be made to the dress code soon.
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An astronaut who weighed 150 pounds on earth found that his weight on jupiter was 400 pounds. he captured an alien that weighed 120 pounds on jupiter. what is the alien's weight on earth? a. 45 pounds c. 500 pounds b. 30 pounds d. 320 pounds
Find the area of the shape.
r = 6
A=πr^2
A = 113.09734
Quarter circle formula = πr^2 / 4
113.09734 / 4 = 28.274335
113.09734 - 28.274335 = 84.824005 is the answer
Please help me with these problems, if you give an answer without work or isn’t correct I will report your comment and you won’t get points
The angles and side lengths for both triangles are;
3) A = 36°; B = 54°; C = 90°; a = 7; b = 9.63; c = 4.11
4) A = 64°; B = 26°; C = 90°; a = 1.798; b = 0.88; c = 2
How to solve Pythagoras theorem?
3) From the diagram, we are already given;
B = 54°
C = 90°
a = 7
We know that sum of angles in a triangle is 180° and so;
A = 180 - (90 + 54)
A = 36°
By trigonometric ratios;
b/7 = tan 54
b = 7 * tan 54
b = 7 * 1.376
b = 9.63
7/c = cos 54
c = 7 * cos 54
c = 4.11
4) From the diagram, we are already given;
B = 26°
C = 90°
c = 2
We know that sum of angles in a triangle is 180° and so;
A = 180 - (90 + 26)
A = 64°
By trigonometric ratios;
b/2 = sin 26
b = 2 * sin 26
b = 2 * 0.4384
b = 0.88
a/2 = cos 26
a = 2 * cos 26
a = 1.798
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If 2 pounds is equal to 3 dollars, which of the following is incorrect?
A. 28 pounds is 44 dollars
B. 23 pounds is 34.50 dollars
C. 11 pounds is 16.50 dollars
D. 10 pounds is 15 dollars
Answer:
A
Step-by-step explanation:
Find the ratio of pounds to dollars, [tex]\frac{3}{2}[/tex] or 1.5.
Next test each option by multiply the pounds by that ratio.
A: 28*1.5=42
B: 23*1.5=34.5
C: 11*1.5=16.5
D: 10*1.5=15
You can see A is the incorrect answer as 28 pounds would be 42 dollars, not 44.