Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).
What is trigonometry?The mathematical field of trigonometry investigates relationships between triangle sides and angles. Because every straight-sided form may be reduced to a collection of triangles, trigonometry is a fundamental concept in all of geometry. The relationships between trigonometry and other branches of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly intricate.
Here,
[tex]e^{x}[/tex] is a function that increases across all of space (d[[tex]e^{x}[/tex] ]/dx = [tex]e^{x}[/tex] which is never negative), it must be that so it must be that [tex]e^{u}[/tex] crosses y=1 just once, or at u = 0. To demonstrate this:
In[tex]e^{sinx}[/tex]= In 1
sin x = 0
And when x = "0, 0", "2", we would have that sin x = 0 in [0, 2"]. In general, we would then have that x = n, where n Z, because of the periodicity of sin (where n is an integer).
Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).
To know more about trigonometry , visit
brainly.com/question/12068045
#SPJ1
Whats the volume for this question?
Answer: 34 21/64
Step-by-step explanation: Multiply all the sides to get the Volume.
3 1/4 x 3 1/4 x 3 1/4 = 34 21/64
Supplementary for solving x
Answer:
sorry
Step-by-step explanation:
Answer:
M<3 is 49 degrees, M<4 is 131 degrees
Step-by-step explanation:
This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees
First, we know that M<1 and M<2 added together is 180. We know M<1 is 11x-38 and M<2 is 19x+8, so then, we have:
(11x-38) + (19x+8) = 180
30x - 30 = 180
30x = 210
x = 7
Now, we plug in 7 for x to find M<1 and M<2.
M<1 is (11x-28), so it would be 49 degrees.
M<2 is (19x+8), so it would be 131 degrees (or just do 180-49).
Now, we can find M<3 and M<4 easily. M<3 and M<2 are supplementary, so 131 + M<3 must equal 180. Thus, M<3 is 49.
M<4 and M<1 are supplementary, so 49 + M<4 must equal 180. Thus, M<3 is 131.
AN EASIER WAY TO FIND M<3 AND M<4:
Vertical angles are angles directly opposite each other, created by two intersecting lines. A pair of vertical angles holds the same degree measurements. In this problem, M<2 and M<4 are a pair of vertical angles, and M<3 and M<1 are a pair. Thus, M<2 and M<4 must are the same degree and M<3 and M<1 must are the same degree. Thus, if M<2 is 131, M<4 is 131 degrees as well. If M<1 is 49 degrees, M<3 is 49 degrees as well.
I’m giving points pls answer quickly (don’t send me a link pls just tell me answer)
Answer:
15,000 feet cubed
Step-by-step explanation:
15 x 15 = 225
10 x 15 = 150
150 / 2 = 75
225 = 75 = 300
300 x 50 = 15,000 feet cubed
Answer:
15000 ft^3
Step-by-step explanation:
You said you just wanted the answer so I won't explain in depth but let me know if you want an in depth explanation.
15*15=225
225*50= 11250
10*15=150
150/2=75
75*50=3750
11250+3750= 15000
Answer: 15000ft^3
What is the length of the missing leg?
Answer:
a = 12
Step-by-step explanation:
Formula:
a² + b² = c²
Given:
b = 9
c = 15
Finding a:
a² + b² = c²
a² = c² - b²
a² = 15² - 9²
a² = 225 - 81
a² = 144
[tex]\sqrt{a^2} =\sqrt{144}[/tex]
a = 12
Answer:
12
Step-by-step explanation:
To solve this, use the pythagreons theorm:
a^2+b^2=c^2
A and B are the side lengths, while is the hypotenuse, which in this case is 15 meters.
So lets plug in our values and solve for the missing length:
9^2+b^2=15^2
Square all the values except for the unknown:
81+b^2=225
Subtract from both sides to get b alone:
b^2=144
Take the square root of both sides so b^2 becomes b:
b=12
So your answer is 12!
Hope this helps!
A bottle holds 2 pints. A cartoon holds 3 cups. What is the total the two containers hold in fluid ounces.
Step-by-step explanation:
3x8 is your answer
hopes this helps ^^
Anyone who know what the answer please please help me faster???!!?!
Answer: The probability of randomly selecting a student in sports is 65% or 65/100
Step-by-step explanation:
Find all solutions of
Answer: [tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex], [tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]
Step-by-step explanation:
Given
[tex]\sin x-\sqrt{1-3\sin^2x}=0[/tex]
Take the square root term to the right-hand side
[tex]\Rightarrow \sin x=\sqrt{1-3\sin^2x}\\\text{Squaring both sides}\\\Rightarrow \sin^2x=1-3\sin^2x\\\Rightarrow 4\sin^2x=1\\\\\Rightarrow \sin^2x=\dfrac{1}{4}\\\\\Rightarrow \sin x=\pm\frac{1}{2}[/tex]
for
[tex]\sin x=\dfrac{1}{2}[/tex]
[tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex]
for
[tex]\sin x=\dfrac{-1}{2}[/tex]
[tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]
Help thank you so much !
2.0.8625
3.9.3625
4.168.75
5.smaller than
6.greater than
7.greater than
8.smaller than
9.greater than
10.smaller than
Moya is moving to a new house and packing up. She has 70 kilograms of books and 127 kg kilograms of clothing to send through the postal service. How much more do her clothes weigh than her books? How much is her shipping cost of sh has to pay $80 per kg of books and $200 per kg of clothing?
The amount that her clothes weigh more than her books would be = 57kg
The amount for the shipping cost for her school would be = 5600+25400 = $31000
What is postal service?Postal service is the type of service that helps.in the delivery of goods from one location to another when the goods are properly registered.
The mass of Moya's books = 70 kilograms
The mass of Moya's clothing = 127 kg
The difference between the bothe masses = 127 - 70 = 57kg
The cost per kg for books = $80 per kg
The cost per kg of clothing = $200
Therefore, the amount for the shipping cost for her school would be = (70×80) + (127 ×200)
= 5600+25400 = $31,000.
Learn more about addition here:
https://brainly.com/question/25421984
#SPJ1
What is the value of x?
x = [ ? 10
9514 1404 393
Answer:
30
Step-by-step explanation:
The triangle inside the circle is an equilateral triangle, so the central angle is 60°. That angle is one of the acute angles in the right triangle formed by the tangent line. The other acute angle (x°) in that right triangle is the complement of 60°.
x° = 90° -60° = 30°
x = 30
A professor had students keep track of their social interactions for a week. The
number of social interactions over the week is shown in the following grouped
frequency distribution. What is the class width?
Number of Social
Interactions
35-42
43-50
51-58
59-66
67-74
75-82
83-90
91-98
99-106
107-114
Frequencies
5
15
15
20
12
10
8
6
1
2
Answer:
7
Step-by-step explanation:
Given the class interval :
Number of Social
Interactions
35-42
43-50
51-58
59-66
67-74
75-82
83-90
91-98
99-106
107-114
The class width = 7
The class width is the range between each class intervals :
42 - 35 = 4
114 - 107 = 7
106 - 99 = 7
The class width of the given grouped
frequency distribution is; 7
We are given the class intervals as;
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
Now, the class width is defined as the difference between the upper boundary and the lower boundary of a class.
The class intervals seem to be the same all through and as such the class width is;
114 - 107 = 7
Read more at; https://brainly.com/question/14841321
A square board is attached to a wall. The board is divided into four squares and each square is painted either black or white. In how many ways can the board be painted if we can rotate the given board about its center? The answer is not 14 or 16.
The board can be rotated in 4 different ways (0, 90, 180, 270 degrees) and each of the four squares can be painted in 2 different ways (black or white). Since we can rotate the board, the order in which the squares are painted does not matter, so we must divide by the number of ways to rearrange the squares. So, there are (2^4) / 4 = 6 ways the board can be painted when we take rotations into account.
How to calculate the Rotation rate?To calculate turnover, it is necessary to consider the departures and additions of people to the company in the period. Calculating turnover is quite simple: you need to add the number of admissions and the number of dismissals, then just divide by 2 and then divide by the total number of employees within your company.
Learn more about Rotation rate in brainly.com/question/30066959
#SPJ1
Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
Rectangle 1 :
b*h = 21
Triangle :
a= 1/2 b*h
3*7= 21 /2=10.5
Add both 10.5 + 21 =
31.5
Hai everyone! I need a little help again on this second part of a problem. Please do not leave links or you will be reported. (Yes, this is another problem on probability I'm stuck on)
An explanation to go along as well would be very helpful.
problem:
Answer the following question using arrangements with repetition, permutations, or combinations.
How may different six-digit passwords can be formed from the numbers zero to six if repetition is not allowed? Calculate how many different passwords are possible. (Type a whole number.)
Answer:
one million
Step-by-step explanation:
a six digit passcode has one million possible combinations instead of 10,000.
plzzzzz anserwd. thxxxxxx
Answer: the answer for #16 is 216
Step-by-step explanation:
1. 75*2=150
2. 33*2=66
3. 150+66=216
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
<5=39
Step-by-step explanation:
<2=48
<3=93
<2 and <4 are equal to each other because they are alternate interior angles
93+48=141
180-141=39
Answer:
∠5 = 39º
Step-by-step explanation:
∠1 + ∠2 + ∠3 = 180
∠1 + 48 + 93 = 180
∠1 = 180 - 48 - 93
∠1 = 39
Corresponding angles are congruent
∠5 = ∠1
∠5 = 39º
Please help giving brainliest
Answer:
H 28.26 mm
Step-by-step explanation:
can someone pls help me on this one
What is statistics. Explain?
The science of statistics focuses on creating and researching strategies for gathering, analysing, interpreting, and presenting empirical data.
Research in statistics finds application in almost all scientific domains, and research concerns in the various scientific fields inspire the creation of new statistical methods and theories. Statistics is a very interdisciplinary field. Statisticians use a range of mathematical and computational techniques while creating new approaches and researching the theory that supports such methods. Uncertainty and variation are two key concepts in the study of statistics. In science, as well as more generally in life, there are numerous circumstances where the result is unknown. Sometimes the uncertainty is caused by the fact that the result is still up in the air. Probability is a mathematical language that is used to talk about uncertain events, and it is crucial to statistics. There are numerous causes of variance that can affect any measurement or data collection attempt. By this, we indicate that the result would probably alter if the same measurement was repeated. The goal of statisticians is to comprehend and, whenever feasible, manage the sources of variation.
To know about statistics on
https://brainly.com/question/28494851?referrer=searchResults
What is the value of y in the equation y = 1/4 x divided by 2 when x =32
The value of y is 16 when x = 32 for equation y = (1/4)x divided by 2.
What is an equation?Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations. It displays how the expressions on the left and right sides are equally related. We have LHS = RHS in any mathematical equation. Equations can be solved to get the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol, a statement is not an equation.
The given equation is
y = 1/4 x divided by 2
So,
y = ((1/4)x)/ 2
y = (2/4) × x
Put x = 32
y = 2/4 ×32
y = 2 × 8
y = 16
To know more about equations, visit:
https://brainly.com/question/14410653
#SPJ1
This is an unusual question it isn't school related but I'm trying to reverse engineer a formula for WAR ( Baseball statistic) using the variables of OBP (.340) SLG (.430) league average OBP (.324) league average SLG (.413) plate appearances (600) and games played (150) the WAR after all that is an even 2.0 so I'm wondering if anyone on here could reverse engineer an equation using those variables to get 2 as an answer please and thank you
Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure.
Question 2 options:
A)
Reflection along x-axis; Translation: (x, y) → (x, y – 3)
B)
Reflection along y-axis; Translation: (x, y) → (x, y – 3)
C)
Reflection along y-axis; Translation: (x, y) → (x, y + 3)
D)
Reflection along x-axis; Translation: (x, y) → (x, y)
Reflection along y axis
Translation: [tex](x,y) \to (x,y-3)[/tex] which means we shift 3 units down
===========================================================
Explanation:
Let's track point A to see how it could move to point A'.
If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.
The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation [tex](x,y) \to (x,y-3)[/tex]
Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.
5x-21=-2x+28 given
Prove x=7
i hope this helped you xx
Using the information above, plot the data points and produce a sine regression model for the data. Round a, b, c, and d to the nearest 0.001. Then use your model to predict how much of the moon will be visible 65 days after Jan 8th, provided the sky is clear. Give your answer as a percent. a. 38% of the moon will be visible b. 9% of the moon will be visible c. 35% of the moon will be visible d. 99% of the moon will be visible
Answer:
B
y = 0.508 sine (0.212 x minus 1.529) + 0.512
Step-by-step explanation:
just took the test
Solve x^3 + x - 4 = 0, leaving your answers correct to 2 decimal places.
The solution to the equation x³ + x - 4 = 0 is x = 1.38
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
x^3 + x - 4 = 0
Express the exponents as proper superscript
So, we have the following representation
x³ + x - 4 = 0
Next, we solve the equation using a graph
i.e. we plot the graph of x³ + x - 4 = 0
See attachment for the graph of x³ + x - 4 = 0
The points where the graph of x³ + x - 4 = 0 crosses the x-axis are the solution
In this case, the point is 1.38
Hence, the solution is x = 1.38
Read more about equation at
https://brainly.com/question/2972832
#SPJ1
plllllllsss help it's easy
Answer:
the answer is A.
Step-by-step explanation:
hope this helps!!!
Can someone help with this question it’s short and simple but I still don’t get it?
Answer:
anything lower than 7 can be substituted for x to make this work
Step-by-step explanation: i tried
how far will a train travel in 5hours if it travels at 80ml per hour
Answer:
If the ml means miles than its 400
Step-by-step explanation:
two copies of one tenth
Answer:
0.2 or 1/5 or one fifth----------------------------------------
Two copies of one tenth translates as:
2*1/10 = 2*0.1 = 0.2 or 1/5Answer:
Two copies of 1/10 = 1/5
Step-by-step explanation:
Given statement,
→ two copies of one tenth.
Forming the expression,
→ 2 × (1/10)
Let's simplify the expression,
→ 2 × (1/10)
→ (2 × 1)/10
→ 2/10
→ 1/5
Hence, the answer is 1/5.
Given U(-6, 7), V (1, -7), W (6, 4), and X (10, y). Find y such that
UV LWX.