Answer:
Sine: 0.94
Cosine: -0.31
Cotangent: -0.3(infinite)
Cosecant: 1.05
Tangent: -3
Secant: -3.16
Formula for finding the 6 trigonometry functions
To find the sine, you must divide the opposite side by the hypotenuse, because the sine is the ratio or fraction whose angle is opposite to the adjacent angle.To find a cosine, you must divide the adjacent angle by the hypotenuse.When finding a cotangent, you must divide the adjacent angle by the opposite, since the cotangent is also a ratio, but not like a sine.When you are finding a cosecant, you divide the hypotenuse by the opposite angle.You find the tangent by diving the opposite angle by the adjacent angle. It is like finding the cotangent but backwards.Last but not least, the secant. You find the secant by dividing the hypotenuse by the adjacent angle.Finding opposite and adjacent angles
To find the opposite angle, one simple way to determine that is to find the opposite side to that angle you are trying to find. For instance, when finding an angle, one side is 200, the adjacent side is 500. We must divide the opposite angle by the adjacent angle to find the missing angle. 200/500 = 0.4, so the missing angle is 0.4.To find the adjacent angle, that is always the side right next to a given angle.Hope this helps!
Step-by-step explanation:
The six trig functions are
[tex] \sin( \alpha ) = \frac{y}{r} [/tex]
[tex] \cos( \alpha ) = \frac{x}{r} [/tex]
[tex] \tan( \alpha ) = \frac{y}{x} [/tex]
[tex] \csc( \alpha ) = \frac{r}{y} [/tex]
[tex] \sec( \alpha ) = \frac{r}{x} [/tex]
[tex] \cot( \alpha ) = \frac{x}{y} [/tex]
Where
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex]r = \sqrt{ - 2 {}^{2} + {6}^{2} } [/tex]
[tex]r = \sqrt{40} [/tex]
[tex]r = 2 \sqrt{10} [/tex]
So we just plug in -2 for x, 6 for y, and our r value into these functions.
[tex] \sin( \alpha ) = \frac{6}{2 \sqrt{10} } = \frac{3}{ \sqrt{10} } = \frac{3 \sqrt{10} }{10} [/tex]
[tex] \cos( \alpha ) = \frac{ - 2}{2 \sqrt{10} } = \frac{ - 1}{ \sqrt{10} } = \frac{ - \sqrt{10} }{10} [/tex]
[tex] \tan( \alpha ) = \frac{6}{ - 2} = - 3[/tex]
Csc is the reciprocal of sine.
[tex] \csc( \alpha ) = \frac{ \sqrt{10} }{3} [/tex]
Sec is the reciprocal of cosine
[tex] \sec( \alpha ) = - \sqrt{10} [/tex]
Cot is the reciprocal of tan
[tex] \cot( \alpha ) = - \frac{1}{3} [/tex]
What is
(j^-13)(j^4)(j^6)
simplified?
PLS HELP
HELP ME PLEASE TELL ME THE ANSWER YALL
Answer:
I might be wrong but i thik its 1...
If im wrong ill give u 100 points
Step-by-step explanation:
Jasper was testing H_0: \mu=36H
0
:μ=36H, start subscript, 0, end subscript, colon, mu, equals, 36 versus H_\text{a}: \mu\neq36H
a
:μ
=36H, start subscript, start text, a, end text, end subscript, colon, mu, does not equal, 36 with a sample of 161616 observations. His test statistic was t=2. 4t=2. 4t, equals, 2, point, 4. Assume that the conditions for inference were met. What is the approximate P-value for Jasper's test?
Answer:
0.02<P-value<0.04
Step-by-step explanation:
solved in Khan Academy
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining and the flight is delayed? Round your answer to the nearest thousandth.
Answer:
0.892
Step-by-step explanation:
The probability that it is raining and the flight is delayed is 0.008.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06.
Let P(A)=0.14 and P(B)=0.06
Here, P(A and B)=P(A)×P(B)
= 0.14 ×0.06
= 0.0084
= 0.008
Therefore, the probability that it is raining and the flight is delayed is 0.008.
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Please help me with my measurement 2 last questions.
Edit : please read 8 carefully.
The different units of measurement (millimeters, centimeters, meters and kilometers) are used to measure from very short distances such as the amount of a medicine in a syringe to long distances between cities.
What are units of measure?Measurement units are a series of references that are used to measure different elements and factors. Specifically, the units of measure for distance measure the distance between two points.
However, not all units of measure work for all situations, for example:
Millimeters are a unit of measurement for very short distances such as millimeters of medication in a syringe.Centimeters are a unit of measurement for average distances such as the height of a person or the size of some objects.Meters are a unit of measurement for large distances such as the dimensions of a house.Kilometers are a unit of measurement for very large distances such as the distance between two cities or countries.Learn more about distance in: https://brainly.com/question/15172156
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a basket contains red, green, yellow apples. An apple is selected at random if p(red) is 2/5 P(yellow) is 1/4 what is p(green)?
A. 3/20
B. 7/20
C. 1/10
D. 13/20
The probability of getting the green apple is 7/20 option (B) 7/20 is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
P(red) = 2/5
P(yellow) = 1/4
The sum of the probability of the event is 1.
P(red) + P(yellow) + P(green) = 1
2/5 + 1/4 + P(green) = 1
P(green) = 1 - (2/5 + 1/4)
P(green) = 7/20
Thus, the probability of getting the green apple is 7/20 option (B) 7/20 is correct.
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Marilyn has been notified that her health insurance premiums will increase by 18% next year. She currently pays $523.00/month for herself and her family. How much will her monthly payment be next year?__________________
Answer:
she will pay 614.14 because 523 + 18% = 6.14.14
Step-by-step explanation:
Hope this helps!!
y=3x^2+6x-9. Use the table function to see when the y value would be about 20.
Answer:
1311
Step-by-step explanation:
What is the radius of this circle if the circumference is 18 (pie) cm? c= 18 (pie) cm 3 cm 9 cm 18 cm 36 cm
Answer:
9, if you round to 2 Decimal Places.
(C = 18π = 18 × π = 56.54 (2 DP))
r = C ÷ 2π
= 56.54 ÷ 2 × π ≈ 9
find the best price portfolio
Does anyone loves math TvT
The solution to all parts are given below:
What is experiment?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
1. The experiment is to spin the wheel and get the number and related to that number reward will be there.
2. The outcomes will be,
{1, 2, 3, 4, 5, 6, 7, 8}
3. Sample space
{1, 2, 3, 4, 5, 6, 7, 8}
4. Event of red with even number
= 2 , 6
5. Event of red with odd number
= 3,7
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Find the length of x please
Answer:
42.29
Step-by-step explanation:
a^2+b^2=c^2
5^2+45^2=c^2
25+1764=c^2
1789 = c^2
sqrt 1789
= 42.29
Find the equation of an ellipse satisfying the given conditions
If the value of a and e is 5 and 4, then the value of b is 3. Then the equation of the ellipse will be given below.
[tex]\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]
What is an ellipse?Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.
The vertices (±5,0) and foci (±4,0) are given. Then the equation of the ellipse will be
We know that the general equation of the ellipse will be
[tex]\rm \dfrac{x^2 }{a^2} +\dfrac{y^2}{b^2} = 1[/tex]
Then the value of a will be
a = 5
And the value of the eccentricity will be
e = 4/5
Then the value of the b will be
[tex]\rm b^2 = a^2 - a^2e^2\\\\b^2 = 5^2 - 5^2 \times \dfrac{4^2}{5^2}\\\\b^2 = 25 - 16\\\\b \ = 3\\[/tex]
Then the equation will be
[tex]\rm \dfrac{x^2 }{5^2} +\dfrac{y^2}{3^2} = 1\\\\\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]
More about the ellipse link is given below.
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Given the bag of marbles below, determine the probability of drawing blue, then green, then blue, then blue with replacement
Answer:
bule is in the spot of green in the sixth place of box 5
Step-by-step explanation:
Question
The following sphere has a diameter of 18 cm.
Answer: A
Step-by-step explanation:
15 POINTS, please complete this problem and explain to me how you did it lol, there's so many of these in my homework and I'm in desperate need of help
Answer:
5
Step-by-step explanation:
you have to do a^2+b^2=c^2, so a you don't know so skip that then for the b u would put 12^2 wich is 144 then you know the c witch us 13^2 wich is 169. then solve the equation which would give you a answer of 5
what is the measure of x 100
Answer:
don't understand
what do u mean
Use a table to find (−3+2j)(4j−7).
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (−3+2j)(4j−7) is 8j²-26j+21.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression (−3+2j)(4j−7) can be expression is,
(−3+2j)(4j−7)
= -12j + 21 + 8j² -14j
= 8j² -26j +21
Hence, the value of the expression (−3+2j)(4j−7) is 8j²-26j+21.
Learn more about Expression:
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A cone with a volume of 1152 pi m^3 has a radius of 12 m. Which of these statements is correct?
Answer:
The answer is b (the second option)
Step-by-step explanation:
Subtract:
-6x-3 from 2x-5
Answer:
8x -2Step-by-step explanation:
Subtract:
-6x-3 from 2x-5
2x - 5 -(-6x - 3) =
2x - 5 + 6x + 3 =
8x -2
A biased coin is flipped twice.
The probability of the coin landing on tailsis 0.4. Find the probability the coin lands on tails exactly once.
Answer:
0.48.
Step-by-step explanation:
There are 2 ways that a tail lands once:-
Tail + head or
head + tail.
Prob(Tail on one throw) = 0.4
Prob(Head on one throw) = 1 - 0.4 = 0.6.
Prob(Tail first then head) = 0.4 * 0.6 = 0.24
Head then tail has the same probability (0.6*0.4).
So the requred probability = 0.24 + 0.24
= 0.48.
Mechanical energy is as much of potential and kinetic energy. Mechanical energy is never lost but only transformed from one form to another. As long as all the mechanical energy is as much as the potential energy then the kinetic energy is 0J. The mechanical energy of an object is found by summing its potential energy and kinetic energy.
Please help and explain will try to give the brainiest if two people answer. Really need your help
Solve for x,
x = 10
x = 15
x = 8
x = 12
[tex]~~~~~~(8x-17)+(3x+2)+63 = 180\\\\\implies 11x +48=180\\\\\implies 11x = 180-48\\\\\implies 11x = 132\\\\\implies x= \dfrac{132}{11}\\\\\implies x= 12[/tex]
Answer:
x = 12.
Step-by-step explanation:
The sum of the 3 angles is 180, so:
8x - 17 + 3x + 2 + 63 = 180
11x -15 + 63 = 180
11x = 180 + 15 - 63
11x = 132
x = 132/11 = 12
please help quick you need
Answer:
Box 2
Step-by-step explanation:
Box 1: 2x3x2=4x3=12
Box 2: 2x3x1=6x1=6
Box 3: 2x3x4=6x4=24
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
f(x)=(x-3)(x+8
a) x-intercepts are _________
b) midpoint of the x-intercepts is ___________
c) the extreme value is _______________
d) f(_) = ______________
Answer:
(a) (3, 0) and (-8, 0)
(b) (-2.5, 0)
(c) x = -2.5
(d) f(-2.5) = -30.25
Step-by-step explanation:
Given quadratic function:
[tex]f(x)=(x-3)(x+8)[/tex]
Part (a)The x-intercepts are when [tex]f(x)=0[/tex]
[tex]\implies f(x)=0[/tex]
[tex]\implies (x-3)(x+8)=0[/tex]
[tex]\implies (x-3)=0 \implies x=3[/tex]
[tex]\implies (x+8)=0 \implies x=-8[/tex]
Therefore, the x-intercepts are (3, 0) and (-8, 0)
Part (b)Midpoint between two points:
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad[/tex]
[tex]\textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
[tex]\implies \textsf{Midpoint of the x-intercepts}=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-2.5},0\right)[/tex]
Part (c)The extreme point of a quadratic function in the form [tex]f(x)=ax^2+bx+c[/tex] is:
[tex]x=-\dfrac{b}{2a}[/tex]
Therefore, expand the function so that it is in standard form:
[tex]\implies f(x)=x^2+5x-24[/tex]
[tex]\implies a=1, b=5[/tex]
Therefore, the extreme value is:
[tex]\implies x=-\dfrac{5}{2}=-2.5[/tex]
Alternative method
A quadratic function has an extreme value at its vertex.
The x-value of the vertex is the midpoint of the x-intercepts.
Therefore, the extreme value is x = -2.5
Part (d)[tex]\begin{aligned}\implies f(-2.5) & =(-2.5-3)(-2.5+8)\\& = (-5.5)(5.5)\\& = -30.25\end{aligned}[/tex]
work out 85cents as a percentage of $2.03
Answer:
85 as aparcentege
85/100
0.85%
Write the counts for the rhythms shown below:
Answer:
1, 2 +, 3 | 1, +, + | 1 +, 2 +, +
1, 2, 3, 4 | 2, 3, 5, 6 | 1, 3, 4, 5, 6
Step-by-step explanation:
Agroup of friends were working on a student film with a budget of $500, which they
spent on equipment and costumes, They spent $55 on costumes, What percent did
they spend on equipment?
Answer:
89%
Step-by-step explanation:
500-55=445
445/500=0.89
0.89x100=89
$500- $55= $445
445/500 = 89/100
89/100 × 100/1= 89%
Answer: 89%
Factor Completely x^4-2x^2y^2+y^4
100 Points pls help me and i will give the brainliest also pls if u can attach maybe some easier ways to solve problems like these...
[tex]\bf (x+y)^2(x-y)^2[/tex]
==============
Solving Steps:===============
[tex]\rightarrow \sf x^4-2x^2y^2+y^4[/tex]
breakdown
[tex]\rightarrow \sf x^4-x^2y^2-x^2y^2+y^4[/tex]
factor common term
[tex]\rightarrow \sf x^2(x^2-y^2)-y^2(x^2-y^2)[/tex]
collect in groups
[tex]\rightarrow \sf (x^2-y^2)(x^2-y^2)[/tex]
apply difference between two square method: x² - y² = (x+ y)(x-y)
[tex]\rightarrow \sf (x+y)(x-y) (x+y)(x-y)[/tex]
simplify
[tex]\rightarrow \sf (x+y)^2(x-y)^2[/tex]
