For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
What is trigonometry?Trigonometry is the study of angles and the angular connections of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.
What is the solution of the trigonometric equation?Generally, the equation for the trigonometric equation is mathematically given as:
Cos^2x=3sin^2x
Therefore
1 - sin^2(x) = 3 sin^2(x)
1/4 = sin^2(x)
Hence introducing \pi
x = arcsin(1/2) + 2nπ
x = π/6 + 2nπ
In conclusion,
x = π/6 + 2nπ
For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
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Can some one help me with this question its hard :( down below ill give brainliest
Answer:
C. 1
Step-by-step explanation:
I got this right on my test
A certain movie is 105 minutes long. It started at 6:15 pm. During the movie, there were two commercial breaks, one lasting 9
minutes and one lasting 6 minutes. At what time did the movie finish?
Answer: 8:15pm
Step-by-step explanation:
9+6=15 +105 = 120, 120/60=2 hours (total duration), 6:15 + 1 hour = 7:15 + 1 hour = 8:15pm
What is the opposite inverse of 4?
4 is the additive inverse of -4.
OR
The opposite of 4 is -4, or negative four.
Now, According to the question:
Opposite numbers:-
Every number has an opposite. In fact, every number has two opposites: the additive inverse and the reciprocal—or multiplicative inverse. Don't be intimidated by these technical-sounding names, though. Finding a number's opposites is actually pretty straightforward.
If a number is added to its additive inverse, the sum of both the numbers becomes zero.
For any given number, the additive inverse is a number or a value which when added to the original number results in zero.
Mathematically: a + (-a) = 0
So here, 'a' and '-a' are the additive inverses of each other.
Therefore, for 4, the additive inverse is 4 = -4
Thus, 4 is the additive inverse of -4.
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he distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.b.The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours..c.The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.d.The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.
The option a "The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance." is correct.
In the given question, we have to write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.
As we know that the distance formula is the multiplication of of speed and time.
So, the distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.
So the option a is correct.
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The complete question is:
The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hours while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.
a. The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.
b. The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours.
c. The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.
d. The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.
A bird flew from the ground onto a tree branch 5 feet above the ground.What could the bird do next that would make this situation a model of combining a number and its additive inverse
We are given that A bird flew from the ground onto a tree branch 5 feet above the ground.
We are supposed to find What could the bird do next that would make this situation a model of combining a number and its additive inverse
Additive inverse - What you add to a number to get zero is additive inverse.
The negative of a number.
Now we are told What could the bird do next that would make this situation a model of combining a number and its additive inverse
Since it already flew 5 feet above the ground .
Additive inverse of 5 feet is -5 feet
So, to make the situation of combining a number and its additive inverse
Bird has to flew 5 feet return to the ground i.e.-5 feet
So, a model of combining a number and its additive inverse = 5+(-5)
= 0.
Fly down 5 feet and return to the ground.
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Answer:
Fly down 5 feet and return to the ground.
Step-by-step explanation:
have a nice day.
Calculate the perimeter of a right angled triangle with base 24m and height 7m
Step-by-step explanation:
there are a few things from school everybody has to burn into their brains for life. one of them : Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse (the triangle side opposite of the 90° angle), a and b are the triangle legs.
now, it depends on what you teacher agreed with you regarding naming the sides of such a triangle.
sometimes "base" is the Hypotenuse (baseline), sometimes it is one of the legs, and then the height is the second leg (as the legs are standing at a 90° or right angle at each other).
we have to assume the second one, as for the first one we have not enough information to solve the question (because with just a given Hypotenuse and the height to the Hypotenuse we can draw infinitely many different triangles with different perimeters).
so, we have
Hypotenuse² = 24² + 7² = 576 + 49 = 625
Hypotenuse = sqrt(625) = 25 m
the perimeter of the triangle is then
25 + 24 + 7 = 56 m
7) Three-fifths of a hotel's rooms are occupied. An additional 23 rooms are reserved. A total of 127 rooms are being remodeled. How many total rooms are in the hotel?
Answer:
375
Step-by-step explanation:
- 150 rooms total unoccupied
- 3/5 occupied
this means that 150 rooms is 2/5 of the total, and 150 is 2/5 of 375, so 375 total
Answer:
375
Step-by-step explanation:
First of all, let's consider the following points;
●3/5 of the rooms are occupied
●23 rooms are being reserved
●127 rooms are being remodeled
The keyword is the 1st point.
If 3/5 is occupied, then that means 5/5 or 5 parts are the fraction of all the hotel rooms.
So,
127+23= 150 rooms
5/5 - 3/5 = 2/5
Now let's apply the direct proportion rule;
2/5= 150
1/5= 150÷2= 75
5/5 (total)= 75*5=375
If the whole fraction things make you confused, here's an easier way;
2 parts= 160
1 part= 150÷2=75
5 Parts = 75*5= 375
Hope it helps :-)!
What type of a polynomial is 4 2x3?
The polynomial 4 2x3 is a degree 3 polynomial, also known as a cubic polynomial.
What is polynomial?Polynomial is an expression consisting of variables, constants, and coefficients. It is an algebraic expression that can contain exponents, fractions, multiplication, addition, and subtraction. Polynomials are used to model many real-world situations, such as the volume of a cylinder or the area of a triangle. The degree of the polynomial is determined by the highest exponent of the variables in the expression. Polynomials can be divided, factored, and manipulated using the rules of algebra.
It consists of three terms and its general form is
ax³ m + bx² + cx + d, where a, b, c, and d are constants
and x is the variable. In this case,
a = 4, b = 2, c = 0 and d = 0,
so the polynomial is 4x³ + 2x².
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Describe people’s opinions using different verbs. Write at least 5 sentences.
PLEASE HELP I POSTED FOR THE 7TH TIME NO ANSWER WILL GIVE BRAINLIEST
Answer:
A mi encantar el arte.
A mis padres interesar el traje.
A ti importar las botas.
A Emelio encantar los deportos.
A Nosotros interesar viajar.
If 2x = 20, then x is
a. 5. b. 10. c. 20.
Answer:
B. 10
Step-by-step explanation:
To find the answer we would plug each given number into x to see if it makes the equation true
A. 2(5) = 20
10 [tex]\neq[/tex] 20
B. 2(10) = 20
20 = 20
C. 2(20) = 20
40 [tex]\neq[/tex]20
As you can see, the only answer that makes the equation 2x=20 true, is answer B
HELP DUE IN 15 MINS!
x =??
Answer:
Step-by-step explanation:
x = 1/2 ( arc(SF) + arc(RQ))
ARC SF = 50
Arc RQ (the large one ) = 200
Large Arc RQ = 200
Arc SF = 50
x = 1/2 (50 + 200)
x = 1/2 250
x = 125
Como sacar el área de un círculo sabiendo que el radio mide 5 cm y en el centro del circulo se encuentra un rombo?
Answer:
78.57cm²
Step-by-step explanation:
English
We need to find the area of the circle.
The area of the circle is given by pie r². We know the value of pie and r is given . Putting the values
Area= pie r².
Area= 22/7* 5² = 22/7*25= 78.57cm²
We are not bothered by the area of the rhombus or the rhombus because we need to find the area of the circle.
Area of the rhombus is given by the product of the length of diagonals divided by 2. So if the rhombus lies at the center the length of each of its diagonal will be 10 cm. Because the length from the center of the circle to any point on the circle is equal to its radius. And the diagonal is formed by 2 radii.
Area of rhombus= 10*10/2= 50 cm²
Area of the circle excluding the area of the rhombus= 78.57- 50 = 28.57 cm²
Evaluate each expression when a = -4 and b = 3.
Expression: 2a + 3b
Answer:
1
Step-by-step explanation:
2a +3b
let a=-4 and b=3
2(-4) +3(3)
Multiply
-8 +9
Add
1
Part of the population of 7,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 11 of them are infected. How many elk are likely to be infected?
Answer:
1,705 elk
Step-by-step explanation:
7,750 / 50 = 155 groups of elk
155 groups x 11 per group = 1,705 elk.
Melee has 1/8 of her candy bar left valid has 3/8 of his candy bar left if they put their candy together which fraction of candy bar do they have
Answer:
4/8
3/8 + 1/8 = 4/8
One line passes through the points (-4, 2) and (0,3); another line passes through the points
(-3,-2) and (3,2). Are these lines parallel, intersecting, perpendicular, or identical?
Find the area of a circle with a radius 8 m
Answer:
area of circle=πr²22/7×825.14m²hope it helps.Answer:
area of circle = πr²
22/7×8
25.14m² is the answer of your question
hope it is helpful to you
I WILL GIVE YOU BRAINLIEST
PLEASE HELP
Using this method solve this for me
A = P(1+r/n)^(n)(t)
- Write an equation to model the value of the stock investment after t months.
Last week, Alex took 90 selfies and Vic took 75 selfies. Today,
they each decided that some of these selfies were not very good
and deleted them. Alex deleted three times as many selfies
as Vic. Now, Alex has half as many selfies as Vic. How many
selfies did Alex delete?
Answer:
Alex deleted 37.5 selfies
Step-by-step explanation:
Let X be the number of selfies that Vic deleted.
Alex deleted 3X selfies.
After deleting selfies, Alex has 90-3X selfies left.
Vic has 75-X selfies left.
Since Alex has half as many selfies as Vic, we can set up the equation: 90-3X = (75-X)/2
Multiplying through the parentheses on the right side, we get: 90-3X = 75-X/2
Combining like terms, we get: 2X = 15
Dividing both sides by 2, we get: X = 7.5
Since X represents the number of selfies that Vic deleted, Vic deleted 7.5 selfies.
Since Alex deleted 3 times as many selfies as Vic, Alex deleted 37.5 = <<37.5=22.5>>22.5 selfies.
The number of selfies deleted by Alex is 51.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that Alex took 90 selfies and Vic took 75 selfies. Today, they each decided that some of these selfies were not very good and deleted them. Alex deleted three times as many selfies as Vic. Now, Alex has half as many selfies as Vic.
Let Vic deleted x selfies and number of selfies deleted by Alex is 3x,
Therefore,
Since, Alex has half as many selfies as Vic, we can set up the equation: 90-3x = (75-x)/2
180 - 6x = 75 - x
5x = 105
x = 17
3x = 51
Hence, the number of selfies deleted by Alex is 51.
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Need Help! How would I complete this table?
The number of feet is dependent on the number of yards. The table is completed as shown in the attachment.
Dependent variable.A variable whose value can be determined only if another variable's value is known is called a dependent variable. Thus the value of the variable depends on another variable.
In the given question, the number of feet can be known when that of yards is multiplied by a multiplicative factor. The value of the factor can be determined as;
multiplicative factor = 15/ 5
= 3
So that feet is related to that of yards by this expression;
feet = multiplicative factor * yards
Thus,
when yards is 2, then;
feet = 3 * 2
= 6
when feet = 12
12 = 3 * yards
yards = 12/ 3
= 4
Thus the complete table is herewith attached to this answer for more clarifications.
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Find the measure of ∠c.
Answer:
79
Step-by-step explanation:
3x +16 + 5x - 4 = 180
8x +12 = 180
8x = 180 -12
8x = 168
x=21
3*21+16= 79
The sides of a triangle are 68, 61, and 46. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
The triangle is an acute triangle using the Pythagorean theorem.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
The sides of a triangle are 68, 61, and 46.
Note:
When the sum of the squares of two sides of a triangle is equal to the square of the hypotenuse, the triangle is a right triangle.
When the sum of the squares of two sides of a triangle is less than the square of the hypotenuse, the triangle is an obtuse triangle.
When the sum of the squares of two sides of a triangle is greater than the square of the hypotenuse, the triangle is an acute triangle.
Now,
68² = 4624
46² = 2116
61² = 3721
We see that,
We can never have a right triangle or an obtuse triangle.
The possible combination.
61² + 68² > 46²
61² + 46² > 68²
68² + 46² > 61²
Thus,
The triangle is an acute triangle.
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pls help I need help on this!!
Answer:
where are the angles or image
Solve the system of linear equations by substitution. Check your solution.
3
1. y = -2x + 4 and -x +3y = -9
2. 3 over 4x -5y = 7 and x= -4y +12
3. 5x - y= 4 and 2x + 2y = 16
4. 2x + 3y = 0 and 8x +9y = 18
The domain and scope of the identity function are the same. Equation for the identity function is f(x) = x, or y = x.
What is function?An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.
identity function are the same.
Equation for the identity function is
f(x) = x, or y = x.
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Solving provided question, we can say that the given linear equation is y = -2x + 4 and -x -x +3(-2x + 4 ) + 9 = x = 7/3
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
the given linear equation is
y = -2x + 4 and -x +3y = -9
now,
-x +3(-2x + 4 ) + 9
-x - 6x - 12 +9 = 0
-7x = -3
x = 7/3
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In ΔABC, if AB = BC and
Answer: not enough to answer
I have to try and find the volume of the cone
Answer:
1,282.2 m³
Step-by-step explanation:
We'll use the formula 1/3*(B*h)
First, you have to find the area of the base
formula: πr²
radius: 7
7*7= 49
49*3.14=153.86
Now, multiply 153.86 by 25 (the height)
153.86*25= 3,846.5
Lastly, divide 3,846.5 by 3 and get 1,282.2 rounded
Please Help !! (Geometry related question)
Answer:
i dont know the answer i just need points im sorry
Step-by-step explanation:
Rodney models the factorization of a trinomial with algebra tiles as shown.
An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x, 3 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled negative. 14 tiles are in the Product spot: 1 is labeled + x squared and below it is a tile labeled negative x. To the right of negative x in 3 columns and 4 rows are 12 tiles labeled negative.
Rodney forgot to place x-tiles in zero pairs in the model of the trinomial. How many zero pairs of x-tiles should he place in the model?
Answer:
c.3 got a 100
Step-by-step explanation:
C
Step-by-step explanation:
If it takes 9 hours to travel from North Carolina to Florida driving an
average speed of 55 mph, about how long will it take to travel from North
Carolina to Florida driving an average speed of 70 mph?
Time taken to travel from North Carolina to Florida driving an average speed of 70 mph is 7 hours.
What is the typical speed?Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance.
Given,
Time taken to travel = 9hours
average speed =55 mph
distance between North Carolina to Florida = speed x distance
distance= 55 x 9
distance= 495 miles
if driving at speed of 70 mph
time taken = distance/speed
time taken=495/70
time taken=7 hours
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AYUDAAA ES PARA HOY.!!
HELP ME IS FOR TODAY.!!
¿Cual es el factor de escala para ir de la figura A a la figura B?
What is the scale factor to go from figure A to figure B?
!POR FAVOR AYUDENME.!
PLEASE HELP ME.!
Answer:
I think the answer is 3:1. found it by counting the no. of boxes