Answers
Answer:
y = 1/2x - 1
Step-by-step explanation:
The x value is divided by 2 and then has 1 subtracted from it.
also for future posts, put the question in the title that way people know what you need and can click if they know the answer.
Related Questions
Given cosθ = 3/5, find the five other trigonometric function values. 15
Answers
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill[/tex]
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}[/tex]
The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We're given that:
cosθ = 3/5 for some angle θ
Since we've got:
[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]
Therefore, we have:
[tex]\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]
Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).
(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)
Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:
[tex]p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units[/tex]
(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).
Thus, we have:
From the perspective of the angle θ:
Length of the base = 3 unitsLength of the perpendicular = 4 unitsLength of the hypotenuse = 5 units.Thus, using these values, and the definition of the trigonometric ratios, we get:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4Learn more about Pythagoras theorem here:
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100 BRAINLY POINTS!!!
The figure below shows a scatter plot.
Which linear equation best represents the data in the scatter plot?
A. y = -8x + 0.5
B. y = -0.5x - 8
C. y = -0.5x + 8
D. y = -x + 8.5
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answers
Answer:
C) [tex]y=-0.5x+8[/tex]
Step-by-step explanation:
Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.
All the given options for the line of best fit are linear equations.
Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.
Linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8. So this suggests that options C or D are the solution.
We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).
Therefore, C is the solution, and the closet approximation to the line of best fit is [tex]y=-0.5x+8[/tex]
Use your TI-83 to determine the necessary t* value for a 90% confidence interval
based on a sample size of 55 and a sample standard deviation of 7.42.
2.005
1.669
1.96
1.645
2.67
Answers
Answer:
Step-by-step explanation:
It is 1.645. My calculator is a little off though; see attached picture.
The lengths of the diagonals of a rhombus are 24cm and 18 cm respectively. What is the perimeter/
Answers
keeping in mind that in a rhombus all sides are equal, Check the picture below.
The perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.
What is a rhombus?A rhombus is a two-dimensional shape with four straight, equal sides and parallels opposite pairs.
This form is similar to a diamond and is what you'd expect to see on a deck of cards to symbolize the diamond suit. Rhombuses can be found in a variety of settings in everyday life.
We have:
The length of the diagonals of the rhombus is 24 cm and 18 cm
As we know in the rhombus the diagonals intersect at the right angle so it makes a right-angle triangle.
So half of the right-angle 24 cm will be perpendicular to the right-angle triangle and half of the 18 cm will be the base of the right-angle triangle.
a = 24/2 = 12 cm
b = 18/2 = 9 cm
From the Pythagoras theorem the length of the hypotenuse:
[tex]c = \sqrt{12^2+9^2}[/tex]
c = 15 cm
Now the perimeter will be:
The perimeter of the rhombus = 4(15) = 60 cm
Thus, the perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.
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John, Cindy, and Isaiah went to the store to buy school supplies. John bought 2 pens, 3 folders, and 4 notebooks for a total of $20. Cindy bought 5 folders and 5 notebooks for a total of $25. Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11
Answers
Using a system of equations, it is found that:
Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: The cost of a pen.Variable y: The cost of a folder.Variable z: The cost of a notebookJohn bought 2 pens, 3 folders, and 4 notebooks for a total of $20, hence:
2x + 3y + 4z = 20.
Cindy bought 5 folders and 5 notebooks for a total of $25, hence:
5y + 5z = 25.
x + z = 5.
x = 5 - z.
Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11, hence:
3x + y + 2z = 11.
y = 11 - 3x - 2z
Replacing the second and the third equation on the first, we have that:
2x + 3y + 4z = 20.
2(5 - z) + 3(11 - 3x - 2z) + 4z = 20.
10 - 2z + 3[11 - 3(5 - z) - 2z] + 4z = 20.
2z + 3(11 - 15 + 3z - 2z) = 10
2z + 3(z - 4) = 10
5z = 22.
z = 4.4
x = 5 - z = 5 - 4.4 = 0.6
y = 11 - 3x - 2z = 11 - 3(0.6) - 2(4.4) = 0.4.
Hence:
Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.More can be learned about a system of equations at https://brainly.com/question/24342899
write 0.0569 correct to one significant figure
Answers
Answer:
0.05
Step-by-step explanation:
- All zeros before any non-zero digit in decimal are non-significant.
-All zeros after any non-zero digit in decimal are significant.
Therefore, the answer is 0.05.
I need help with this one plis quickly !!!
Answers
Answer:
3
Step-by-step explanation:
Hard to see but pretty sure thats it
Just need help, can't remember how to solve it.
Answers
At a conference for 500 people, 10% of the participants are french, 35% are americans, 20% are germans, and are of other nationalities. how many french participants are at the conference? 10 20 40 50
Answers
A percentage is a way to describe a part of a whole. The number of French people at the conference is 50.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the total number of people in the conference is 500, while 10% of the participants are french. Therefore, the number of people who are French at the conference can be written as,
Number of French People = 10% of the number of people in the conference
[tex]\text{Number of French People} = \dfrac{10}{100} \times 500 = 50[/tex]
Hence, the number of French people at the conference is 50.
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About 11,000 species of Lepidoptera (butterflies and moths) have been identified in the United States. Only 679 of them are butterflies. What is the percentage of the Lepidoptera species in the United States are butterflies?
*Science+Math*
Answers
Answer:
total no. of butterflies=11000
no.of butterflies=679
percentage of butterflies=?
Percentage of butterflies= (11000/679) percent..
= 16.20 percentage
therefore 16.20 percentage butterflies are in US
Help please thank youuu
Answers
Answer:
18 mi^2
...
...
...
...
...
Answer:
42 square miles
Step-by-step explanation:
The area of a composite shape can be found by decomposing it into shapes whose area formulas you know. Here, the shape can be decomposed into a triangle and two rectangles. The two rectangles can be formed several ways.
TriangleThe area of the triangle at the top of the figure is ...
A = 1/2bh
A = 1/2(6 mi)(3 mi) = 9 mi²
Overall rectangleThe area of the overall rectangle (including the space at lower right) is ...
A = LW
A = (9 mi)(5 mi) = 45 mi²
Deleted spaceThe area of the rectangle at lower right that is not included in the shaded area is ...
A = LW
A = (4 mi)(3 mi) = 12 mi²
Total areaThe total area of the figure is the sum of the triangle and overall rectangle, less the excluded area at lower right.
total area = 9 mi² +45 mi² -12 mi² = 42 mi²
The area of the figure is 42 square miles.
_____
Additional comment
Other ways to divide the figure into two rectangles are ...
extend the vertical line to make a 9×2 and a 3×5 rectangleextend the horizontal line to make a 4×2 and a 5×5 rectangle4+8÷2-2×3 what would we do first a 4+8 b8÷2 c2-2 d2×3
Answers
Answer:
multiplication, so d, 2 x 3
Step-by-step explanation:
remember... PEMDAS!!
AABC ~ AQRS
Find the missing side length, n.
R
B
6
n
U
2
c
5
s
n = [?]
Enter
Answers
Answer:
n = 15
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )
[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )
2n = 30 ( divide both sides by 2 )
n = 15
2=4+7h what does h equal
Answers
Answer:
h= -2/7
Step-by-step explanation:
Simply simplify the equation:
2 = 4 + 7h
first get rid of the 4
2-4 = -2
so -2 = 7h
so h = -2/7
Calculate the angle of the incline from the diagram. Answers have been rounded to the nearest tenth of a degree.
A. 32.2°
B. 40.2°
C. 49.8°
D. 57.8°
Answers
Answer:
40.2
Step-by-step explanation:
Let's see
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{11}{13}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=0.846[/tex]
[tex]\\ \rm\rightarrowtail \theta=tan^{-1}(0.846)[/tex]
[tex]\\ \rm\rightarrowtail \theta=40.2^{\circ}[/tex]
Which expression is equivalent to –12 – 40?
Answers
A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?
if necessary, round your answer to the nearest whole number.
Answers
Answer: 1,393 meters tall
Step-by-step explanation:
Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.
y
= a(1–r)t
y
= 1,710(1–0.05)4 Plug in values
y
= 1,710(0.95)4 Subtract
y
= 1,710(0.81450…) Simplify
y
= 1,392.80568… Multiply
Round to the nearest whole number.
1,392.80568… → 1,393
To the nearest whole number, the mountain will be 1,393 meters tall.
A storage compartment is shaped like this hexagonal prism. The prism has a base area of 7.35 cm².
What is the volume of the compartment?
Enter your answer as a decimal in the box.
cm³
Answers
The volume of the compartment shaped like this hexagonal prism is 29.4 cm³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a hexagonal prism = area of base * height
Hence:
Volume = 7.35 cm² * 4 cm = 29.4 cm³
The volume of the compartment shaped like this hexagonal prism is 29.4 cm³
Find out more on volume at: https://brainly.com/question/1972490
Answer:
The answer is 29.4 cm^3! The first user has it correct dont worry guys^_^
Step-by-step explanation:
I took the k12 4.12 Unit Test: Three-Dimensional Geometry - and got a 90% ^_^
Good luck with the rest of the questions! If you had question 4 "A minuture connector is shaped like a hexagonal prism. The prism has a base area of 8.15 cm^3. What is the volume of the compartment?"
Then your answer would be 32.6 cm^3
PLEASE HELP. I need to create a roller coaster that consists of at least 4 different degree 3 and above polynomials.the polynomials must be connected to one another without any graphs. It has to be 5-6 minutes long. the start height must be at least 200 feet but no greater than 300 feet. the maximum height of the roller coaster must not be greater than 400 feet. The track must go into an under tunnel that is 20 feet or less at least once. the maximum depth of the tunnel must not be greater that 50 feet. No drop can be too steep. I will give 100 points
Answers
Answer:
add it all up
Step-by-step explanation:
The equation 2y+x=0 is shown on the graph below as a
Answers
Answer: Red line
Step-by-step explanation:
2y+x=0
2y=-x
y=-x/2
So we need a line with a slope of -1/2 that passes through the origin, which is the red line.
I need help this is so confusing
Answers
so point C would be on Quadrant I
T on Quadrant II, H on Quadrant III and R is not really on a quadrant, the coordinate is on the X axis.
I need help on this I don't get it please help me on this
Answers
Correct answer: 9x -14y = -6
Linear equation: y = ax + b
Let's replace (x,y) with (1/2, 3/4) and (4,3) and have the following equations:
1/2a + b = 3/4 (1)
4a + b = 3 (2)
=> (2) b = 3 - 4a
(1) 1/2a + 3 - 4a = 3/4
=> (1) 7/2a = 9/4
(2) b = 3- 4a
=> (1) a = 9/14
(2) b = 3/7
So we have the equation: y= 9/14x + 3/7
Multiple both sides with 14
=> 14y = 9x + 6
=> 9x -14y = -6
Help assappp
Line L is a line that passes through (-4,5)
and is parallel to the line described by
y-7=-2(x+1). Write the equation
of line l in point-slope form
Answers
Answer:
y-5=-2(x+4)
Step-by-step explanation: All you need to do is remember the point-slope form equation y-y1=m(x-x1), parallel slope (-2), then (-4,5). Plug in (-4,5) and -2 into the point slope form equation y-5=-2(x+4). That's all.
I need help please….
Answers
Answer:
C. 7/20
Step-by-step explanation:
There are 20 arrival times on the table.
7 of those twenty are before 8:20.
p(before 8:20) = 7/20
Answer: C. 7/20
PA ANSWERR NEED SOME ANSWERS THNKS
Answers
Answer:
16. j = 105 °
17. Q = 68 °
18. s = 97 °
19. t = 70 °
20. r = 125 °
Step-by-step explanation:
16. Name the angle that is supplementary to angle J as K, and label the angle that is next to K as G
Angle G = 105, because it is corresponding to the 105 angle.
Since G is supplementary to K, angle K = 75.
So, J = 105
17. Name the angle that is supplementary to angle Q as R
Angle R = 112, because it is corresponding to the 112 angle.
Since R is supplementary to Q, angle Q = 68.
18. Name the angle that is supplementary to the 83 angle as L
Angle L = 97, since angle L and the 83 angle are supplementary angles
-> Angle S = 97, since S and L are alternate angles
19. Angle T = 70, since angle T and the 70 angle are corresponding angles.
20. Name the angle that are alternate angles with angle R as Q
Angle Q = 125, because it is corresponding to the 125 angle.
Since angle Q and angle R are alternate angles, angle R = 125.
(Note : alternate angles and corresponding angles are equal to each other, supplementary angles add up to 180.)
Which of the following equations could be used to solve for the tenth term of the following sequence? 15,13,11,9,… A(10)=15+10(-2), A(10)=15+9(-2),A(10)=15+10(2),A(10)=15+9(2)
Answers
Answer:
the first one
Step-by-step explanation:
20 points
Data from a certain village hospital show that the number of frostbite cases is positively correlated with the number of sledding accidents. Which of the following factors would
best explain why this correlation does not necessarily imply that frostbite is the main cause of sledding accidents?
People with frostbite tend to have more difficulty controlling sleds.
the frostbite cases and sledding accidents were not randomly selected.
The hospital treats more sledding accidents than cases of frostbite.
It is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Answers
Answer: it is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Step-by-step explanation: I just took the test.
The correct answer is the frostbite cases and sledding accidents were not randomly selected.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
If the data for the number of frostbite cases and sledding accidents were not randomly selected, then the correlation between them might not be valid.
if the data were only collected during a specific time period when sledding was popular and the weather was cold, then the number of frostbite cases and sledding accidents might be higher than normal.
In this case, the correlation might be due to the common factor of cold weather, rather than frostbite causing sledding accidents.
Therefore, it is important to consider the methodology of the study and the factors that might influence the correlation between frostbite cases and sledding accidents before concluding that frostbite is the main cause of sledding accidents
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can you help me? please
Answers
Answer:
The answer is B. 600
Step-by-step explanation:
Hope that helps!
Answer:
B. $600.00
Step-by-step explanation:
every 10hrs worked you are getting $120.00 so just add $120.00 every 10 hrs
Haruto simplified the value below. Cosecant (StartFraction 19 pi Over 4 EndFraction) = StartRoot 2 EndRoot Which statement explains whether Haruto is correct? Haruto is correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction and the reference angle is StartFraction pi over 4 EndFraction. Haruto is correct because the angle is coterminal with StartFraction pi Over 4 EndFraction, which is also the reference angle. Haruto is not correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction, and Cosecant (StartFraction 3 pi Over 4 EndFraction) = StartFraction negative 1 Over StartRoot 2 EndRoot EndFraction = StartFraction negative StartRoot 2 EndRoot Over 2 EndFraction. Haruto is not correct because the angle is coterminal with StartFraction pi over 4 EndFraction, and Cosecant (StartFraction pi Over 4 EndFraction) = StartFraction 1 Over StartRoot 2 EndRoot EndFraction = StartFraction StartRoot 2 EndRoot Over 2 EndFraction.
Answers
If the value of the cosecant 19π/4 and 3π/4 are the same then they are coterminal angles. Then the correct option is A.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The expression is given below.
[tex]\rm cosec \ \dfrac{19\pi}{4} =\sqrt2[/tex]
The angle is 19π/4.
Coterminal angle - The angles in a standard position that have a common terminal side.
Then we have
[tex]\Rightarrow \dfrac{19\pi}{4} - 2*2\pi\\\\\Rightarrow \dfrac{19\pi - 16\pi}{4} \\\\\Rightarrow \dfrac{3\pi}{4}[/tex]
More about the angled link is given below.
https://brainly.com/question/15767203
Answer:
A
Step-by-step explanation:
Props to the otha guy
It's Eva's turn to bring the halftime snacks for her soccer team. She helps her dad cut up
oranges and wash grapes, and they load everything into a cooler shaped like a rectangular
prism. The cooler is 22.5 inches long, 12 inches wide, and has a volume of 4,320 cubic
inches.
How tall is the cooler?
Write your answer as a whole number or decimal. Do not round.
Answers
Answer:
Volume = a.b.c = k^3
Step-by-step explanation:
Volume = a * 22.5 * 12 = 4320
a = 16 inches