The word used to remember the 3 trigonometric ratios sine, cosine, and tangent is SOH-CAH-TOA
We know that in right triangle for an angle θ, the trigonmetric ratios are:
sin(θ) = opposite side of θ/ hypotenuse
cos(θ) = adjacent side of θ / hypotenuse
tan(θ) = opposide side of θ / adjacent side of θ
cot(θ) = 1/tan(θ)
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
The word 'SOH-CAH-TOA' is used to remember the sine, cosine, and tangent ratios in a right triangle.
SOH means, Sine = Opposite side / Hypotenuse.
CAH means, Cosine = Adjacent side / Hypotenuse.
TOA means, Tangent = Opposite side / Adjacent side
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hii! please help i’ll give brainliest
Answer:
Bukhara
Hope this helps!
--Applepi101
What is the measure of angle OAC if major arc AB measures 220 degrees?
55°
70°
110°
140°
I already know the answer is 55 but I need to know why and how to get 55?
Therefore , the solution of the given problem of triangle comes out to be
OAC angle arc is = 55 degrees.
What is triangle?Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.
Here,
Half of the arc AB is the measure of angle OAC, hence the measure of angle OAC is:
OAC = 0.5 times 220 degrees.
110 degrees is OAC.
If the angle OAC is measured as a quarter of an arc AB, then the angle OAC is measured as follows:
OAC equals 0.25 x 220 degrees
OAC = 55 degrees
Therefore , the solution of the given problem of triangle comes out to be
OAC angle arc is = 55 degrees.
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Find the measure of the two marked angles NEED HELP ASP!!!!!
The measure of the two marked angles are as follows:
60°60°How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate exterior angle, alternate interior angles, linear angles, vertically opposite angles, same side interior angles etc.
According to the diagram the parallel lines are cut by the transversal and formed the angles.
Hence, the angles are alternate exterior angles.
Alternate exterior angles are congruent. Hence, the angles are as follows:
10x - 20 = 7x + 4
10x - 7x = 4 + 20
3x = 24
x = 24 / 3
x = 8
Therefore, the angles are as follows:
10x - 20 = 10(8) - 20 = 80 - 20 = 60 degrees
7x + 4 = 7(8) + 4 = 56 + 4 = 60 degrees.
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Solve the system by elimination.
3x + 3 = 3y
2x - 6y = 2
Answer:
The Point Form is: (-2,-1)
Equation form is x= -2, y = -1
Step-by-step explanation:
Answer:
(-2, -1)
Step-by-step explanation:
both equation form: Ax + By = C
3x - 3y = -3 - 2×(3x - 3y = -3) = 6x + 6y = 6
2x - 6y = 2 - Terms opposite = 2x - 6y = 2
( Add) - 4x = 8
divide by -4 = x = -2
Put X value in equations 3(-2) + 3 = 3y and solve -
-6 + 3 = 3y
-3 = 3y
-1 = y
Answer= (-2, -1)
Bella has a cell phone plan in which she pays of each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8€ each and text messages cost 5€ each and her pill was $34. 26, how many minutes did she use?
If the total number of minutes used and text messages sent last month was 561 , then the number of minutes she use is 207 minutes .
The total number of minutes used and text messages is = 561 ;
the cost for per minute cost is = 8 cents ;
the cost for per text message is = 5 cents ;
Bella's total bill amount is = $34.26 = 3426 cents
let the number of minutes used be = x minutes ; and
let the number of text messages be = y ;
So ,According to the question ,
the equations representing the situations are ,
[tex]x+y=561[/tex] and [tex]8x+5y=3426[/tex]
Substituting the values of [tex]y=561-x[/tex] in the equation [tex]8x+5y=3426[/tex] ,
we get ;
[tex]8x + 5(561-x)= 3426[/tex]
On solving ,
we get ; x = 207 minutes ;
So , the number of text messages (y) = [tex]561-207[/tex]
= 354 text messages.
Therefore , the number of minutes is = 207 minutes .
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if x= -1/3, find 12x²-15x+3
How many five-digit numbers are there that contain the digit 1 (at least) three times in a row?
Answer:
So you say you want some 5 digit numbers eh? Let’s consider some boundaries. 5 digit numbers range from 10,000 - 99,999. So our number is guaranteed to be between 0 and 90000.
Sometimes it’s much easier to work with concrete things. Such as the number of numbers that don’t contain any 3s. It’s really more difficult to put our finger on “at least 1” anything so we try to steer clear of it.
Anyways we’ve got 90000 numbers that have at least 1 or 0 3’s. Find one and we know the other.
So no 3’s at all right? Well you have 8 choices for the first digit (can’t choose 0 and you can’t choose 3). And then for the remaining 4 digits you have 9 choices. So that’s
8∗94=52488
Back to our initial equation, we have
90000−8∗94=37512 5 digits numbers without any 3s.
A quick (or maybe not so quick) matlab script confirms such calculations.
credits to : Trevor Squires
Find the first three terms of the sequence:
a₁ = 2.25, an = an-1 +0.5
The first three terms of the sequence are 2.25, 2.30, and 2.35.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
a(1) = 2.25
a(n) = a(n - 1) + 0.5
Now,
The first term = 2.25
The second term.
a(2) = a(1) + 0.5
= 2.25 + 0.5
= 2.30
The third term.
a(3) = a(2) + 0.5
= 2.30 + 0.5
= 2.35
Thus,
The first three terms are 2.25, 2.30, and 2.35.
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Find the number of the degree of this polynomial.(please)
Answer:
2 is the highest degree because it's the only exponent
The relationship between the value y (in dollars) of a car and its age x (in years)
is estimated from a random sample of cars. An equation that models this
relationship is y=23,100−1,273x . Based on this model, which of the following
statements is true?
Answer:
it C
Step-by-step explanation:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene’s car had 6.7 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?
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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On solving the provided question, we can say that by unitary method Irene spend on gas = $ 33.82
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
by unitary method
Irene must pay back the money she used for gas.
Irene filled up her tank with gas for $33.82.
One gallon of gasoline costs $3.80.
There are 6.1 gallons of the petrol Irene purchased in the tank.
amount required = 15 -6.1 = 8.9 gallons
1 gallon = 3.8 dollars
8.9 gallons = $ 33.82
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is the following relation a function explain. (1,3) (1,0), (1,-2) (1,8)
9514 1404 393
Answer:
NO
Step-by-step explanation:
If input values are repeated, the relation is not a function. A function has only one output value for any input value.
Here, an input of 1 has 4 output values—not a function.
If the mass of an object is 2kg and the applied force is 26N, calculate the acceleration. ___________m/s/s
Answer:
a = (13 m) / (sec^2)
Step-by-step explanation:
Force equation: F = ma
yields a = F/m
Here F = 26 N and m = 2 kg, so
a = (26 N) / (2 kg) = (13 m) / (sec^2)
Which of the z-values satisfy the following inequality?
2
7<
+ 3
2
Choose all answers that apply:
A
2 = 8
B
2 = 9
© z = 10
Answer:The answer is 9 and 10?
Step-by-step explanation:
Answer:
B and C | z=9 | z=10 |
Step-by-step explanation:
Trust i got right
One zero of f(x)=x^3-2x^2-5+6 is 1 what are the other zeros of the function
Answer:
the other zeros of this function are {-2, 3}
Step-by-step explanation:
Use synthetic division to find the roots. The coefficients of this cubic function are 1, -2, -5, 6, and we begin by using 1 as our first divisor:
1 / 1 -2 -5 6
+1 -1 -6
--------------------------
1 -1 -6 0
Because the remainder is zero (0), we can conclude that 1 is indeed a root of the given polynomial. The quotient is 1x^2 - 1x - 6, whose roots can be found either through synthetic division or factoring. In this case the factors are (x - 3) and (x + 2), so the other zeros of this function are {-2, 3}.
On a hot summer day, jay set up a lemonade stand. He kept track of how many glasses he sold on his phone
A. Write two equations that relate the number of large glasses sold i and the number of small glasses sold s. ?
B. Solve the system of equations
C. How many small glasses were sold?
D. How many large glasses were sold?
On solving the provided question, we can say that - the value of the linear equation is 2y+8x = 140
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. 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.
here, we have 2y + 8x
and x = 10 ; y = 15
2y + 8x
20 + 120 = 140
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This box plot represents the marks gained by students in an exam. Nobody gained exactly 30, 48 or 70 marks. 120 students gained less than 70 marks. How many students gained more than 48 marks?
Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
Definition of a scatter plotSeveral dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).
Here,
A box plot separates a data set into four areas, each identified by five lines. The lowest line displays the result, while the highest line displays the result. 25% of the data points are distributed across each region, and the median score is indicated by the middle line.
In this box plot, for instance, there are lines at 10, 30, 48, 70, and 100. The fact that no student received a score exactly equal to 30, 48, or 70 allows us to deduce the following:
Because the middle two sections represent the interquartile range (IQR), which comprises the middle 50% of the data, they are frequently "boxed" together.
We are informed that 120 students received test scores below 70. Additionally, since there are three regions with scores below 70 and each region has a 25% weighting, 3 x 25% (or 75% of the students) had scores below 70.
In other words, 75% of 120 students.
If there are 120 students total throughout the three regions, then each
region has 40 pupils, or one-third of the total.
The box plot indicates that there are two areas, and since each region has 40 students, there are 80 students total in the two regions.
As a result, two zones with two sets of 40 students each make up the solution to the scatter plot problem.
Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
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Parallel, perpendicular or neither
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a
histogram
standard deviation distribution
percentile distribution
bar graph
scatter-plot or scatter-gram
When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a scatter-plot or scatter-gram.
What is scatter-plot or scatter-gram?Scatter-plot: A scatter-plot is a form of mathematical diagram or plot that employs Cartesian coordinates to illustrate distinct values associated to two variables for a specific set of data. It is also known as a scatter-gram, scatter-graph, scatter-chatter, or scatter-diagram.
It is being utilized to determine how one variable influences the other.
The supplied statement in the question above represents the scatter plot.
Here,
When you observe a graphed cluster of dots reflecting the values and relationship of two separate variables, you are looking at a scatter-plot or scatter-gram, which is a visual explanation of relatedness.
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Last Wednesday two friends met up after school to read a book they were both assigned in literature class. Julie can read 3 pages per minute and she has already resd 9 pages. Cassie who has a reading speed of 2 pages per minute, had read 35 pages. Eventually they had read the same number of pages. How many pages had each of them read? How long did it take?
Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Similar
Step-by-step explanation:
The triangles are similar. They just put it upside down.
Answer:
Similar
Step-by-step explanation:
Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices $Q\left(-1,\ 3\right),\ R\left(5,\ 2\right),\ S\left(1,-2\right),$ and $T\left(-5,-1\right)$
The coordinates of the intersection of the diagonals of the parallelogram QRST is (0, 1/2)
The coordinates of the parallelogram QRST are:
Q = (-1, 3)
R = (5, 2)
S = (1, -2)
T = (-5, -1)
The diagonals of parallelogram QRST are QS and RT.
Let M be the point of the intersection of the diagonals of the parallelogram QRST
The diagonals of a parallelogram bisect each other.
This means, M is midpoint of diagonals QS and RT.
Consider diagonal QS.
Let (x1, y1) = (-1, 3) and (x2, y2) = (1, -2)
Using midpoint formula the coordinates of M would be,
M = ((x1 + x2)/2, (y1 + y2)/2)
M = ((-1 + 1)/2, (3 - 2)/2)
M = (0/2 , 1/2)
M = (0, 1/2)
Therefore, the point of intersecton of QS and RT is (0, 1/2)
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help me plssssss it’s due tonight!!
Answer:
B. 3x+1
Step-by-step explanation:
(3x+3)+(2x+1)+(4x+2)=9x+6
(12x+7)-(9x+6)=3x+1
I need help with this please
Answer:
[tex]\dfrac{15}{6}[/tex]
Step-by-step explanation:
3 can be represented as [tex]\dfrac{3}{1}[/tex] because any number divided by 1 is itself.
Therefore,
[tex]\dfrac{5}{6} \times 3[/tex]
can be written as:
[tex]\dfrac{5}{6} \times \dfrac{3}{1}[/tex]
To multiply these fractions, simply multiply their numerators and their denominators.
[tex]\dfrac{5 \times 3}{6 \times 1}[/tex]
[tex]\dfrac{15}{6}[/tex]
PLEASE HELP ASAP!!! will mark
Answer:
axis of symmetry: x=1
vertex: (1, -1)
for the sketch, plot these points: (1, -1), (2, 0), (3, 3), (0, 0), (-1, 3)
Step-by-step explanation:
hope this helps :)
Answer:
axis of symmetry= (1,-1)
vertex = (2, -2)
and then I attached a picture of what it should look like on the graph
make N the subject of formulaP=N+2/d
Answer:
N = Pd - 2
Step-by-step explanation:
P = N + 2/d
Pd = N + 2
Pd - 2 = N
N = Pd - 2
ASAP HELP NOW If f(x) = 3x – 2 find the value for: f(4)
Answer:
10
Step-by-step explanation:
f(4)= 3(4)-2
f(4)=12-2
f(4)= 10
f(whatever) just means to replace x with whatever is in the parentheses.
i know its easy but a few points!! no links or reported.
Answer: Thank you for the points & B
Step-by-step explanation: Hope this help :D
Which of the following constructions can be accomplished with paper
folding?
Check all that apply.
A. Constructing a line segment of length 2 and then finding the
midpoint
B. Drawing a perpendicular line segment through a given point on a
given segment
C. Drawing a line through a given point parallel to a given line
D. Drawing a perpendicular line segment from a given point to a
given segment
Answer: Constructions A, B, and D can be accomplished with paper folding.
Construction A involves constructing a line segment of length 2 and then finding the midpoint, which can be done by folding the paper in half.
Construction B involves drawing a perpendicular line segment through a given point on a given segment, which can also be done by folding the paper.
Construction D involves drawing a perpendicular line segment from a given point to a given segment, which can also be done by folding the paper.
Construction C, drawing a line through a given point parallel to a given line, cannot be accomplished with paper folding. To do this construction, you would need a straightedge, such as a ruler.
Step-by-step explanation:
The following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment. What is construction in mathematics?Constructions are accurate drawings of shapes, angles and lines in geometry. Some basic constructions -
Constructing bisectors of lines and angles.Constructing regular polygons inscribed in circles.Constructing circumcircles and incircles.Constructing a line tangent to a circle.Given is to find which of the following constructions can be accomplished with paper folding.
The following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.Therefore, the following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.To solve more questions on constructions, visit the link-
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The box above has a length of 4 units, a width of 3 units, and a height of 5 units. What is the volume?
Answer:
60 cubic units
Step-by-step explanation:
Volume is simply multiplying the height, length and width together.
4 * 5 = 20
20 * 3 = 60
PLZZZ GIVE ME BRAINLIEST
Answer: Lo que haces es multiplicar los valores de altura x longitud x lo ancho. (Aquí no importa el orden.
Step-by-step explanation:
4x3 =12
12x5=20