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Related Questions
A health club increased its membership from 80 to 240 people. What is the percent increase in membership?
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The percent of increase is 200%
Answer and the work are provided in the image attached.
how do i do these inverse trig
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so
Cos x = 109 / 134 then x = cos⁻¹ (109/134) = 35.567°
sin y = 109 / 134 then y = sin⁻¹ (109/134) = 54.433°
and
the third side = √(134² - 109²) = 77.94
To do inverse trig functions on a calculator, enter the value and press either the arcsin, arccos and arctan buttons OR [tex]sin^{-1}, cos^{-1}, tan^{-1}[/tex] buttons. The functions arcsin(x), arccos(x) and arctan(x) are the inverse functions of the 3 main trigonometric functions sin(x), cos(x), and tan(x) formed by a reflection across the line y=x. This results in the (x,y) points of sin(x), cos(x) and tan(x) switching their order (y,x) in each inverse. Form a ratio of the side lengths, press the corresponding inverse function and you will find x = 35.6 degrees and y = 54.4 degrees.
Further ExplanationSine/ Cosine/Tangent
In trigonometry, there are three main functions sine, cosine, and tangent based on the ratios of sides corresponding to angles within a right triangle. The ratio for sine is opposite / hypotenuse. The ratio for cosine is adjacent / hypotenuse. The ratio for tangent is opposite / adjacent.
Notice in this triangle, 109 and 134 are the adjacent and hypotenuse to the angle x. This is the cosine function and thus Cos(x) = 109 / 134. 109 and 134 are also the opposite and hypotenuse to the angle y. This is the sine function and thus sin y = 109 / 134. To solve for x and y, use the inverse function arcsin and arccos.
Arcsin
As the arcsin(x) is the inverse of the sin(x) function, its function is defined as having inputs and outputs which have been reversed. The input of arcsin is the triangle side ratios (opposite / hypotenuse) and they align to the angle outputs of this function. For example, if sin (30) = 1/2 then arcsin(1/2) = 30. By pressing the arcsin button on your calculator it reverses the inputs and outputs. The expression sin y = 109/ 134 becomes arcsin (109/134) = y and y = 54.4 degrees.
Arccos
As the arccos(x) is the inverse of the cos(x) function, its function is defined as having inputs and outputs which have been reversed. The input of arccos is the triangle side ratios (adjacent / hypotenuse) and they align to the angle outputs of this function. For example, if cos (60) = 1/2 then arccos(1/2) = 60. By pressing the arccos button on your calculator it reverses the inputs and outputs. The expression cox x = 109/ 134 becomes arccos (109/134) = x and x = 35.6 degrees.
Learn More Finding the Inverse of a Trig Function: https://brainly.com/question/4143682 Arcsin Inverse Function: https://brainly.com/question/1388658Reciprocal Trig Functions versus Inverse Trig Functions: https://brainly.com/question/3917841Category
Grade: High School - 10/11
Subject: Algebra 2
Chapter: Inverse Trig Functions
Use the distributive property to simplify the expression below
5x(x-4)
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HELP HELP
FIND THE VOLUME OF THE COMPOSITE SOLId
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PLEASE HELP!!!!! 11 POINTS TO CORRECT ANSWER
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D = ? E = 32
Because angle E = 32 the angle inside the bigger triangle is the same size.
( They are the size because they have joint beginnings.)
So, 90 + 32 = 122
And, 180 - 122 = 58
Which of the following inequalities matches the graph?
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You have a vertical line. It passes through the point (-3, 0), so for this line, k = -3.
The vertical line has equation x = -3.
The line is dashed, not solid, so you have either < or >, but not <= or >=.
Also, notice the shading is to the left of x = -3, so all values of x are less than -3.
The inequality is
x < -3
The distance between two towns is 12 5/8 miles. Mr.Lang has driven 4 5/12 miles of distance. How much farther does he have left to go?
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[tex]\sf 12\dfrac{5}{8}-4\dfrac{5}{12}[/tex]
Convert them to improper fractions. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes the numerator, and we keep the denominator the same.
[tex]\sf\dfrac{101}{8}-\dfrac{53}{12}[/tex]
To subtract fractions we need a common denominator. The least common multiple of 8 and 12 is 24. Convert both fractions to denominators of 24, find out how many times the current denominator goes into 24, then multiply that number to both the numerator and denominator:
[tex]\sf\dfrac{303}{24}-\dfrac{106}{24}[/tex]
Now we can subtract the numerators and keep the denominator the same:
[tex]\sf\dfrac{197}{24}[/tex]
Convert back to a mixed number. Twenty-four goes into 197 eight times. 24 * 8 = 192. 197 - 192 = 5. So we have 8 whole 24s and 5/24 left, or:
[tex]\boxed{\sf 8\dfrac{5}{24}}[/tex]
You have 15 coins in your pocket: 4 quarters, 3 pennies, 5 dimes, and 3 nickels. Why wouldn't theoretical probability be a good way to predict which coin you pull out of your pocket?
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Which statement is NOT true?
F. A set of ordered pairs that describes a function cannot have any y-value repeated.
G. A table of values describes a function if all the x-values are different.
H. A mapping is a function if each x-value is paired with exactly one y-value.
J. A graph describes a function if no point on the graph lies directly above or below another of the graph.
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~~
Why??
F - it can be a function even if a y - value repeats itself its the x - values that cannot repeat in order to be a function.
G - this is true as stated above.
H - a mapping is a function if each x - value is paired with only one y - value. If an x - value was paired with multiple y - values then its the same thing as repeated x - values.
J - this is true. To check if a graph is a function try the vertical line test. Simply take a ruler holding it vertically ( up and down ) and place it over a point on the graph. If there is another point lined up with the first one ( above or below ), then it is NOT a function.
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
if prq is a straight line, find the number of degrees in <w.
given: 2w, 30°
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3w + 30° = 180°
3w = 180° - 30°
3w = 150°
w = 150° ÷ 3
w = 50°
Done.
Are the triangles similar? If they are, identify the similarity ratio.
A. Yes, the similarity ratio is 1:4
B. Yes, the similarity ratio is 1:5
C. Yes, the similarity ratio is 1:3
D. No, the triangles are not similar
So, I feel like D is out of the equation. Because the only difference is the shape and size. I was staring to lean towards C. Can anyone give me their two cents on this?
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Answer: C is the correct answer.
Step-by-step explanation:
Answer:
C. Yes, the similarity ratio is 1:3
Step-by-step explanation:
The two triangles are similar because the corresponding sides are proportional.
The length of the side of the smaller triangle that is 3 units corresponds to the length of the side of the bigger triangle that is 9 units.
These two sides are in the ratio [tex]3:9[/tex].
When we simplify this ratio, we get [tex]1:3[/tex].
The length of the side of the smaller triangle that is 6 units corresponds to the length of the side of the bigger triangle that is 18 units.
These two sides are in the ratio [tex]6:18[/tex].
When we simplify this ratio, we get [tex]1:3[/tex].
The length of the side of the smaller triangle that is 5 units corresponds to the length of the side of the bigger triangle that is 15 units.
These two sides are in the ratio [tex]5:15[/tex].
When we simplify this ratio, we get [tex]1:3[/tex].
Therefore the similarity ratio is [tex]1:3[/tex].
Audrey is buying a new car for 32998.00 she plans to put 4200.00 down if she make monthly payments of 525 for the next 5 years what APR did she pay
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4200+525(60)=35,700
Help me on questions 1, 2, and 3
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Point A, located at (-2, 4), is translated down 6 units. What are the coordinates of A'?
(-8, 4)
(-8, -2)
(-2, -2)
(-2, 4)
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-2,4 is the given coordinate. To find this coordinate, look at the X axis, first. Find -2. Then go up on your -2 line, and find 4, You'll be at the coordinate, -2,4.
Now, 6 units down from coordinate -2,4,is, -2,-2
all you have to do, is move your finger down 6 lines. You will be at the coordinate, -2,-2.
-2,-2 is the answer.
Hope it helped:)
Can u do 17-20 solve the equation please and show work
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8+5=13
13/4=3.25
n=3.25
18. n/2+ 5=15
15-5=10
10*2=20
n=20
19. 5v-42=73
73+42=115
115/5=23
v=23
20. 3d-13=11
11+13=24
24/3=8
d=8
Hope I helped☺☺
- Also follow the equality rule (what you do to one side you do to the other)
17) 4n - 8 = 5
4n - 8 (+8) = 5 (+8)
4n = 13
4n/4 = 13/4
n = 13/4 or 3.25
18) n/2 + 5 = 15
n/2+ 5 (-5) = 15 (-5)
n/2 = 10
n/2(2) = 10(2)
n = 20
19) 5v - 42 = 73
5v - 42 (+42) = 73 (+42)
5v = 115
5v/5 = 115/5
v = 23
20) 3d - 13 = 11
3d - 13 (+13) = 11 (+13)
3d = 24
3d/3 = 24/3
d = 8
hope this helps
The formula h-15=3.2t gives the height h in inches of a plant t weeks after planting. Which is the rate at which the plant height is increasing?
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To find this, you should put the equation in slope-intercept form. This can be done by adding 15 to both sides of the equation.
You will get h = 3.2t + 15
The value in front of the t is the slope. In this case, it is inches per week.
PLEASE HELP ASAP!!!!!!!!!
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B.(5,5)
C.(7,3)
D.(5,2)
Can someone help meh. Trying to reach Ace tank.
What is the surface area of the cube with the rectangular prism
155 in
270 in
300 in
310 in
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Consider the following graph of a quadratic function. Which of the statements are true? Select all that apply.
A. The function is decreasing over the interval x<-1
B. The range of the function is all real numbers.
C. The function is increasing over the interval x<-1
D. The domain of the function is all real numbers
E. The function has a relative minimum at (-1,5)
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Answer:
Option C,D and E are correct.
Step-by-step explanation:
Clearly from the graph we could say that it is a graph of a quadratic function.so we will work on each of the following options:
A)
Clearly from the graph we could see that the graph is increasing on both the sides of -1.
Hence, option A is wrong. ( The function is decreasing over the interval x<-1).
B)
As the function is a quadratic function hence the range contains all the real numbers greater than or equal to 5 below 5 it won't take any value.
Hence option B is wrong.(The range of the function is all real numbers).
C)
clearly we could see that the function is increasing in the interval x<-1.
Hence, option C is correct.
D)
The function is defined for all of the real numbers.
Hence option D is correct. (The domain of the function is all real numbers).
E)
Clearly from the graph we could see that the function has minimum value at -1 and the graph is increasing before and after that.
Hence, option E is correct.( The function has a relative minimum at (-1,5) ).
Answer:
C,D,E
Step-by-step explanation:
please solve this: 0.45-0.05+0.2-0.5
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0.4 + 0.2 = 0.6
0.6 - 0.5 = 0.1
The answer is 0.1.
Hope this helps!
0.2-0.5= -0.3
Add 0.4 and -0.3 and you get 0.1
Hope that helps!
Which steps should be followed to use a scale drawing and a new scale to find the new length of a soccer field? Add the numerator of the new scale to the old length to get the new length. Subtract the new length from the old length to find the difference in lengths. Write a proportion using the new scale as the first ratio. Set the first ratio equal to the ratio of the length of the original field compared to a variable that represents the new length of the field. Solve the proportion to find the new length of the field. Write a ratio comparing the scale drawing length to the actual length of the field, and simplify.
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Solving proportions with a missing variable always involves setting the proportions equal to each other, and then solving for the missing variable.
The function f(x) =g(x), where f(x) =2x-3 and g(x) =x^2-5
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Answer:
x=2.732
Step-by-step explanation:
Given are two functions
f(x) = 2x-3 and g(x) = [tex]x^2-5[/tex]
WE have to find the approximae value when these two funcitons are equal
Since we are asked to find only positive value we can refer table and do
f(2) >g(2) but f(3)<g(3) Hence there is one solution between 2 and 3.
f(2.5)>g(2.5). So the root lies between 2.5 and 3 since change of sign takes place here
x f g
2.6 2.2 1.76
2.7 2.4 2.229
2.72 2.44 2.398
2.73 2.46 2,453
2.732 2,464 2.464
Hence answer is x =2,732
Please help and please explain the answer.
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tan39 = 10/x
x = 10/tan39
x = 12.348
So x is 12.3 rounded nearest to tenth
Write an equation of the line that is perpendicular to the line y = 2x + 8, and which passes through the point (6,-2).
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X=6
Y= 2(6) + 8
Y= 12+8
Y= 20
Hope this help
Answer: y= -1/2 + 1
Step-by-step explanation: To solve this problem, first determine the slope of your line. Since perpendicular lines have slopes that are opposite reciprocals of each other,we know that the slope is -1/2. Then plug your slip (-1/2) and point (6,-2) into the equation y=mx+b to solve for b. The resulting value for b is 1.
Steve has $360 in a savings account in the bank. He runs 3% interest each month how much interest would he earn in one month
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The library is 2 miles from the post office. How many yards is the library from the post office?
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So you multiply 1760 by 2 to get 3520.
Hope it helps (＾▽＾)
I am so lost help me
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so....
1.5 Liter = 1500 mL
what are the whole numbers between 2 and 8
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Let me lay this out for you the best I can.
2. 3. 4. 5. 6. 7. 8
In between the numbers 2 and 8, there are 5 numbers, which are 3,4,5,6, and 7.
Mrs.Hilt has a pizza that is 35 inches in diameter. What is the radius of that pizza.
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The radius of a pizza that is 35 inches in diameter is 17.5 inches, which is found by dividing the diameter by two.
The question about Mrs. Hilt's pizza with a diameter of 35 inches is asking for the radius of the pizza. To find the radius of a circle when given the diameter, you simply divide the diameter by two. Therefore, the radius of the pizza is 17.5 inches, since 35 inches divided by 2 equals 17.5 inches. This is a basic geometry concept often covered in middle and high school math classes.
Need the answer ASAP
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x = 60°
πd = 12π
Using the Arc Length formula,
x/360° × πd
= 60°/360° × 12π
= 2π
Ans: B