The tangent on the unit circle is y/x
How to determine the tangent value?The point on the unit circle is given as:
Point = (x,y)
By default
(cos(ø), sin(ø)) = (x,y)
This means that:
cos(ø) = x
sin(ø) = y
The tangent of an angle is:
tan(ø) = sin(ø)/cos(ø)
So, we have:
tan(ø) =y/x
Hence, the tangent on the unit circle is y/x
Read more about unit circle at:
https://brainly.com/question/16364735
#SPJ1
do these ratios form a proportion?
Answer:
No, because both of them will never be able to match; become equivalent. You would have to multiply 2 different numbers to make them match, meaning they would not be proportional. For a comparison to be proportional, the ratio you are trying to simplify to must be achieved by multiplying 2 numbers from the previous ratio by one LCD.
[tex]\frac{3\cdot 4}{7 \cdot 3} = \frac{12}{21}[/tex]
They are able to make 12/21, but that does not mean they are proportional.
PLEASE HELP ME!!!!!!!!!!!!!!!
Answer:
hypotenuse(h)^2 = 3^2 + 7^2
h^2 = 9 + 49
h = √58
h = 7.6
how to find the 3 sides
The angle of triangle are ∠A = 86, ∠B = 55, ∠C = 39. The side of the triangles are a = 0.99, b = 0.81, c = 0.62.
What is a law of sine?Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.
[tex]\dfrac{sin A}{a} = \dfrac{sin B}{b} = \dfrac{sin C}{c}[/tex]
We have given angles of the triangle as
∠A = 86
∠B = 55
∠C = 39
So,
[tex]\dfrac{sin 86}{a} = \dfrac{sin 55}{b} = \dfrac{sin 39}{c}[/tex]
Now,
a = 0.99
b = 0.81
c = 0.62
The side of the triangles are a = 0.99, b = 0.81, c = 0.62.
Learn more about law of sine;
https://brainly.com/question/13098194
#SPJ1
31 32 33 34
Which polynomial function could be represented by the graph below?
16
14
42
10
8-6
6 8 X
O f(x) = x³ + x² - 6x
O f(x)=x²-x² - 6x
4
1:00:00+
bocchette
ANLAT
K
C
The polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x
How to determine the polynomial?The attached graph represents the missing part of the question
From the attached graph, the x-intercepts of the graph are:
x1 = -3
x2 = 0
x3 = 2
The equation of the graph is then calculated as:
f(x) = (x - x1)(x - x2)(x - x3)
This gives
f(x) = (x + 3)(x - 0)(x - 2)
Expand
f(x) = x(x² + 3x - 2x - 6)
Evaluate
f(x) = x(x² + x - 6)
Expand
f(x) = x³ + x² - 6x
Hence, the polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x
Read more about polynomials at:
https://brainly.com/question/4142886
#SPJ1
Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?
A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.
The equation which represents the situation and how old is Tina is "The equation that represents this situation is t − 3 = 18. Tina is 21".
How to write and solve equation?Tina's age = tCole's age = t - 3Cole's age = 18Equate Cole's age
t - 3 = 18
add 3 to both sidest = 18 + 3
t = 21
Therefore, the equation which represents the situation and how old is Tina is "The equation that represents this situation is t − 3 = 18. Tina is 21".
Learn more about equation:
https://brainly.com/question/2972832
#SPJ1
A bicyclist pedals 40 miles in 3 hours. Write the bicyclist's speed as a rate (but not a unit rate yet). Then use the dropdown menus to report the bicyclist's rate. Numerator (top of the fraction): [ Select ] [ Select ] Denominator (bottom of the fraction): [ Select ] [ Select ]
The bicyclist's speed as a rate is 40/3 miles per hour
How to determine the bicyclist's speed as a rate?The given parameters are:
Distance = 40 milesTime = 3 hoursThe rate is calculated as:
Rate = Distance/Time
Substitute known values
Rate = 40 miles/3 hours
Rewrite as:
Rate = 40/3 miles per hour
Hence, the bicyclist's speed as a rate is 40/3 miles per hour
Read more about speed and rate at:
https://brainly.com/question/19493296
#SPJ1
What compass heading represents 20° north of west? PLS HELP
Answer:
West North West
Step-by-step explanation:
West North West would be the bottom half of North West after you split the compass heading into 2 again.
Answer:
north of west = 290 degrees
north of east = 70
Step-by-step explanation:
1. Which is NOT a benefit of direct deposit? (1 point)
The money is available as soon as your employer makes the transfer.
You do not need to drive to the bank to make a deposit.
You can plan when you are paying bills.
You can avoid having a hold placed on when funds are available.
Answer:
d
Step-by-step explanation:
the statement "you can avoid having a hold placed on when funds are available is noat a benefit of the direct deposit
please help with all of question 5
Volume of a right cone with base radius r cm and height h cm :
V = 1/3 π r² h cm³
Surface area :
A = (π r² + π r √(h² + r²)) cm²
Volume of a sphere with radius r cm :
V = 4/3 π r³ cm³
Surface area :
A = 4 π r² cm²
Volume of a cuboid with dimensions r cm × r cm × h cm :
V = r² h cm³
Surface area :
A = 2 r² + 4 r h
a. If the cone and sphere have the same volume, then
1/3 π r² h = 4/3 π r³ ⇒ h = 4r
b. If the area of the cuboid is 98 cm², then
2 r² + 4 r h = 98 ⇒ r (r + 2 h) = 49
c. Since h = 4r, substituting this into the equation from (b) gives
r (r + 8 r) = 9 r² = 49 ⇒ r² = 49/9 ⇒ r = 7/3
d. With r = 7/3, we have
h = 4 × 7/3 = 28/3
and so the volume of the cuboid is
V = (7/3 cm)² (28/3 cm) = 1372/27 cm³
-10 + 2t = -20 16t + 17t
t=2/61
1 Rearrange terms
2
Multiply the numbers
3
Combine like terms
4
Add
10
to both sides
5
Simplify
6
Add
303t
to both sides
7
Simplify
8
Divide both sides by the same factor
9
Simplify
En 2018 la empresa SAC-OLC fabrico 24000 ollas, si cada dia se fabricaron 80 ollas ¿cuantos dias no se trabajaron en la empresa?
Usando proporciones, hay que no se trabajaron en 65 dias durante el año de 2018 en la empresa SAC-OLC.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, e los problemas pueden ser resolvidos con una regla de três.
En este problema, hay que se fabricaran 24000 ollas en el año de 2018, con una taja de 80 ollas al dia. Así, el número de dias trabajados es dado por:
n = 24000/80 = 300.
El año de 2018 tuvo 365 dias, así, el número de dias no trajados fue de:
365 - 300 = 65.
Puede-se aprender mas a cerca de proporciones es brainly.com/question/26950887
what is 1/4×2/5÷1/3 as a fraction
please help
Answer:
3/10
Step-by-step explanation:
Please give brainliest!
hope this helps :)
the first step is to multiply 1/4 and 2/5
1/4 times 2/5 = 2/20
you figure this out by multiplying the numerators and denominators.
next, we solve 2/20 ÷ 1/3
we do this by taking the reciprocal of 1/3, which is 3/1, and then multiplying the fractions
2/20 times 3/1 = 6/20
6/20 = 3/10
Select the correct answer.
Which of the following represents a function?
A.
A value negative 7 in x corresponds to 45 in y. A value negative 4 in x corresponds to 52 in y. A value negative 1 corresponds to negative 2 in y. A value 2 in x corresponds to 45 in y.
B.
{(-7,-9), (-4,-9), (5,15), (7,19)}
C.
x 5 -5 10 5 -10
y 13 -7 23 17 -17
D.
A graph plots the points (negative 3, 1), (negative 3, negative 1), (negative 1, negative 3), (1, 5), (3, negative 3), and (4, negative 5) on the x y coordinate plane.
Answer:
A and B
Step-by-step explanation:
In both of these relations, each input corresponds to one and only output.
( 4 , 1 2/3 ) ( 2 , − 2/3 ) find the slop
Answer:
7/6
Step-by-step explanation:
To find the slope you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
so doing that i get 7/6
Hope This Helped
5/8 of a number is 200. What is 7/10 of the number ?
Answer:
224Step-by-step explanation:
Let x be the unknown number.
(5÷8)x = 200
Then
x = (8×200) ÷ 5
= 1600 ÷ 5
=320
……………………………
(7/10)x = (7/10)×320
= (7×320) ÷ 10
= 224
Answer:
= 224
Step-by-step explanation:
Hi there!, here is how we solve the problem;
To begin, the question wants us to determine
[tex] \frac{7}{10} [/tex]
of the number x (unknown).
[tex] \frac{5}{8} = 200 \\ \frac{8}{8} = x \\ ( \frac{ \frac{8}{8} \times 200 }{ \frac{5}{8} } ) \\ = \frac{8}{8} \times 200 \times \frac{8}{5} \\ = 320 \\ x = 320[/tex]
We have found our x = 320
Lets now determine
[tex] \frac{7}{10} [/tex]
Which is given by;
[tex]( \frac{7}{10} \times 320 \\ = 224[/tex]
[tex] \frac{7}{10} [/tex]
of the number is therefore 224.
= 224 <<<<<< Ans
I hope this helps.
Have a nice studies.
what is 29/5 is equal to
Answer:
5 4/5 or 5.8
Step-by-step explanation:
convert 29/5 to 5 4/5
or
divide 29/5 is 5.8
Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2?
StartFraction x Superscript one-half baseline Over y z squared EndFraction
StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction
StartFraction y Superscript one-half Baseline Over x z squared EndFraction
StartFraction x z squared Over y Superscript one-half EndFraction
Submitted
By using exponent properties, we will get the simplified expression:
[tex]x^{-1}*y^{1/2}*z^2[/tex]
How to simplify the given expression?
Here we have the expression:
[tex](x^{1/2}*y^{-1/4}*z)^{-2}[/tex]
Remember the exponent properties:
[tex](a^n)^m = a^{n*m}[/tex]
And:
[tex](a*b)^n = (a^n)*(b^n)[/tex]
So using these two properties, we can rewrite:
[tex](x^{1/2})^{-2}*(y^{-1/4})^{-2}*(z)^{-2}\\\\(x^{-2*1/2})*(y^{-2*-1/4})*(z^{-2}})\\\\x^{-1}*y^{1/2}*z^2[/tex]
So we conclude that the completely simplified expression is:
[tex]x^{-1}*y^{1/2}*z^2[/tex]
If you want to learn more about exponents:
https://brainly.com/question/8952483
#SPJ1
Answer:
C
Step-by-step explanation:
Distribute the -2 to the exponents of x, y, and z.
x: 1/2 * -2/1 = -2/2 = -1
y: -1/4 * -2/1 = 2/4 = 1/2
z: 1/1 * -2/1 = -2/1 = -2
Now to get a negative out of the exponents, you simply move them on the other side of the equation (If it is on top move, it to the bottom and vice versa.)
So, once you move all of the exponents you get C.
Express in simplest radical form.
5x√192x³+√3x5
please help!!
[tex]-5x\sqrt{192x^3} + \sqrt{3x^5}\\\\=-5x\left(192x^3 \right)^{\tfrac 12} + \left(3x^5 \right)^{\tfrac 12}\\\\=-5\cdot (192)^{\tfrac 12} \cdot x \cdot x^{\tfrac 32} + 3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\=-5\left( 64 \cdot 3 \right)^{\tfrac 12} \cdot x^{1+\tfrac 32} + 3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\=-5\cdot 8\cdot 3^{\tfrac 12} \cdot x^{\tfrac 15} + 3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\=-40\cdot 3^{\tfrac 12} \cdot x^{\tfrac 52}+3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\[/tex]
[tex]=-39\cdot 3^{\tfrac 12} \cdot x^{\tfrac 52}\\\\=-39\sqrt 3 \sqrt{x^5}[/tex]
9. A box contains 50 discs which are numbered 1 to 50. If one disc is drawn at random from the box. Find the probability that it bears: a 2 digit no. (ii) a perfect square no. (iii) a no. divisible by 5
The probability that it bears a 2 digit no. is 41/50; a perfect square no is; 3/25; a no. divisible by 5 is; 0.2
How to find the probability?
We are given;
Number of Discs in box = 50
Type of discs in box = Numbered 1 to 50
i) Number of 2 digit numbers = 41
Thus;
P(2 digit numbers) = 41/50
ii) Perfect square numbers are; 4, 9, 16, 25, 36 and 49. Thus;
P(perfect square number) = 6/50 = 3/25
iii) Numbers divisible by 5 are; 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.
Thus;
P(numbers divisible by 5) = 10/50 = 0.2
Read more about Probability at; https://brainly.com/question/24756209
#SPJ1
Which number is rational?
Ο Α. π
Ο Β. εξ
Ο c. 0.777...
Ο D. 0.36458121...
Step-by-step explanation:
0.777... is rational since it can be put in fraction form which is 7/9
note: if something can be put as an integer/integer its rational
5. x = 5,- ²/3, √2
help pls
Answer: 2. 5. f(x)=x²-5; vertically stretched by a factor of 4, followed by a translation 3 units to the right. 4(x²-5). 4((x-3)²-5) g(x)= 4(x-3)²-20.
Step-by-step explanation:
Which regular polygon has a rotation of 240 degree to carry the polygon onto itself?
The regular polygon that has a rotation of 240 degrees to carry the polygon onto itself is the equilateral triangle.
The missing part of the questionOptions
Equilateral triangle
Octagon
Rectangle
Pentagon
How to determine the polygon?A polygon that can carry itself onto itself after a rotation of 240 degrees must obey the following rule:
Angle of rotation = 360/Sides
Next, we test the options:
Option (a) equilateral triangle
Angle of rotation = 360/3
Evaluate
Angle of rotation = 120
Next, we list the multiples of 120
120, 240, 360.....
See that 120 is a factor of 240.
This means that the equilateral triangle would be rotated onto itself when rotated by 240 degrees.
Read more about polygons here:
https://brainly.com/question/1592456
#SPJ1
Help and please show work!
Factor sin^8Θ + 2sin^4Θcos^4Θ + cos^8Θ
hi
Step-by-step explanation:
I
don't
know
see you in next question
What number can be used to complete the volume statement for the cone?
a cone with height 4 meters and diameter 3 meters.
volume =
Answer: 9.42 cu. meters
Step-by-step explanation:
V= 1/3 x TT x r^2 x height
TT (pi) = 3.14
r^2 is 1/2 diameter = 1.5
height = 4
V = 1/3 x 3.14 x 1.5^2 x 4
V= 1/3 x 3.14 x 2.25 x 4
V = 9.42 cu. meters
What is the slope of the line that passes through the points (-6, 8) and (-9, 7)? Write your answer in simplest form.
Answer:
m=1/3
equation y=1/3x+10
Step-by-step explanation:
Find the rise and run.
1. -6--9=run=3
2. 8-7=rise=1
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of the line that passes through (-6, 8) and (-9, 7).
[tex]\triangle~\fbox{\bf{KEY:}}[/tex] (formula for Slope)
[tex]\longmapsto\bf{\cfrac{y2-y1}{x2-x1}}[/tex]
y2 & y1 = the y-coordinates of the two points
x2 & x1 = the x-coordinates of the two points
[tex]\ddot\bigstar[/tex] Remember this...
[tex]\fbox{y2\;and\;y1\;are\;y-coordinates\;of\;the\;two\;points,\;and\;x2\;and\;x1\;are\;x-coordinates}}[/tex]
So we substitute the values and obtain:
[tex]\bf{\cfrac{7-8}{-9-(-6)}[/tex]
Simplifying:
[tex]\bf{\cfrac{-1}{-9+6}}[/tex]
Simplifying more:
[tex]\bf{\cfrac{-1}{-3}}[/tex]
Divide the top and bottom by -1:
[tex]\bf{\cfrac{1}{3}}[/tex]
There's the slope.
Hope it helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students
please help me ASAP
Answer:
c; 6
Step-by-step explanation:
to find the rate of change from x = 2 to x = 4 you use the (y2 - y1) / (x2 - x1) formula
so
(21 - 9) / (4 - 2)
12 / 2
6
the average rate of change is 6
What is the slope of the line containing (-2,5) and (4, -4)?
O A. -2
O B.
3
2
O c. 2
O D.
3
2
Answer:
-3/2
Step-by-step explanation:
See attached image
Answer:
[tex]m=\frac{-3}{2}[/tex]
Step-by-step explanation:
m = slope
[tex]m=\frac{-4-5}{4--2}[/tex]
[tex]m=\frac{-9}{6}[/tex]
[tex]m=\frac{-3}{2}[/tex]
Can someone please help me with this?
Answer:
Answer Option C
Step-by-step explanation:
They make a big plus sign, PLUS=PERPENDICULAR
please help bro
i needa get my grade up and i don’t understand any of this … if you can explain how u got the answer that would be helpful but if not, then it’s fine i guess.
Answer:
7. 630
8. I'm not sure on this one-
9. 1331
Step-by-step explanation:
So for a rectangular prism the formula is l x w x h (length times width times height) Which would be 14 * 5 * 9 which equals 630
For the triangular prism, I forgot the formula
For the cube, you are given 1 number, 11, since it's a cube all lengths are the same so you do 11 to the power of 3 = 1331
H E L P M E P L I Z
In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution.
23z+19=3(5z-9)+8z+46
15y+32=2(10y-7)-5y+46
The 2 equations are classified as Identities because both sides remain the same for all values of z.
How to Classify Equations?1) We are given the equation;
23z + 19 = 3(5z - 9) + 8z + 46
Let us try z = 0
23(0) + 19 = 3(5(0) - 9) + 8(0) + 46
19 = -27 + 46
19 = 19
Let us try z = 5;
23(5) + 19 = 3(5(5) - 9) + 8(5) + 46
134 = 48 + 40 + 46
134 = 134
Thus, this is an identity as both sides remaining the same for all values of z.
2) We are given the equation;
15y + 32 = 2(10y - 7) - 5y + 46
At y = 0, we have;
15(0) + 32 = 2(10(0) - 7) - 5(0) + 46
32 = -14 + 46
32 = 32
Let us try y = 2;
15(2) + 32 = 2(10(2) - 7) - 5(2) + 46
62 = 26 - 10 + 46
62 = 62
This is an identity as both sides remaining the same for all values of z.
Read more about Equations at; https://brainly.com/question/1214333
#SPJ1