The value of cosθ from the trigonometric identity is equal to -21/29
Data;
sin(0) = 20/29quadrant = 2nd quadrantPythagorean TheoremThis formula is used to find the missing side of a right angle triangle.
This is given as
[tex]hypothenuse^2 = adjacent^2 + opposite^2[/tex]
But in trigonometric ratio, the sine ratio is
[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]
This implies that
opposite = 20hypothenuse = 29adjacent = ?Let's find the adjacent using Pythagorean theorem
[tex]x^2 = y^2 + z^2\\29^2 = 20^2 + z^2 \\z^2 = 29^2 - 20^2\\z^2 = 441\\z = \sqrt{441} \\z= 21[/tex]
Now that we know the value of adjacent,
The value of cos(0) will be
[tex]cos \theta = \frac{adjacent}{hypothenuse} \\cos \theta =- \frac{21}{29}\\[/tex]
Note: The negative sign in front of the ratio indicates the fact that in the second quadrant, only sine theta is positive, the rest are negative.
The value of cosθ is equal to -21/29
Learn more on Pythagorean theorem here;
https://brainly.com/question/343682
There are 36 squares on each red and white checkered tablecloth. How many squares are there on 7,011 tablecloths
Answer:
36 squares per table cloth, so;
36 x 7,011 = 252,396, there are 252,396 squares.
Find the 60th term of the arithmetic sequence -10, 8, 26, ...
PLEASE HELP!!!
What is the formula of g in terms of f?
Choose 1 answer:
A. - 1/3 f(x)
B. f(-3x)
C. -3f(x)
D. f (- 1/3x)
Answer:
A
Step-by-step explanation:
y = a f(x)
If |a| > 1 then a f(x) is f(x) stretched vertically by scale factor of a
If 0 < |a| < 1 then f(x) is squashed vertically
If a < 0 then f(x) is also reflected in the x-axis
y = f(ax)
If |a| > 1 then f(ax) is f(x) squashed horizontally by a scale factor of a
If 0 < |a| < 1 then f(x) is stretched horizontally
If a < 0 then f(x) is also reflected in the y-axis
g(x) has been squashed vertically by a scale factor of 1/3 (green on the attached diagram) and then reflected in the x-axis (red on the attached diagram)
Therefore, the solution is [tex]g(x) = -\dfrac13f(x)[/tex]
Seven less than the product of a number n and 1/7 is no more than 98.
Answer:
1/7(n)-7 < 98
Step-by-step explanation:
Complete the equation:
Answer:
A
Step-by-step explanation:
x^2-14x+49 factors into (x-7)(x-7) or (x-7)^2
Please read directions do number 1
PLEASE HELP AS SOON AS POSSIBLE!
Step-by-step explanation:
(i) 240 ÷ 4000 = 0.06
(ii) 760 ÷ 4000 = 0.19
(iii) (20 + 10) ÷ 4000 = 0.0075
I guess this is the answer
i am not sure!!!!
Please help! I think I have the equation set up.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-Here, we have given one quadrilateral that is quadrilateral ABCD We also have given the angles of quadrilateral that is ( 6x + 5)° , ( 9x - 10)° , 80° and a right angleTo Find :-Here, we have to find the value of x
Let's Begin :-We have given quadrilateral ABCD here , whose angles are as follows
Angle A = ( 6x + 5)°Angle B = ( 9x - 10)°Angle C = 80°Angle D = A right angled triangle[ The measure of right angled triangle is 90° ]
We know that,
Sum of the angles of quadrilateral is equal to 360°That is
[tex]\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}[/tex]
Subsitute the required values
[tex]\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}[/tex]
[tex]\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}[/tex]
[tex]\sf{ 15x - 5 = 360{\degree} - 170{\degree}}[/tex]
[tex]\sf{ 15x - 5 = 190 {\degree}}[/tex]
[tex]\sf{ 15x = 190 {\degree} + 5 }[/tex]
[tex]\sf{ 15x = 195 {\degree}}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 195}{15}}}[/tex]
[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}[/tex]
[tex]\bold{ x = 13 }[/tex]
Hence, The value of x is 13 .
[tex]\bold{\huge{\underline{\red{ Verification }}}}[/tex]
Measure of Angle A
[tex]\sf{ = (6x + 5){\degree}}[/tex]
[tex]\sf{ = (6(13) + 5 ){\degree}}[/tex]
[tex]\sf{ = (78 + 5 ){\degree}}[/tex]
[tex]\sf{ = 83{\degree}}[/tex]
Measure of Angle D
[tex]\sf{ = (9x - 10){\degree}}[/tex]
[tex]\sf{ = (9(13) - 10){\degree}}[/tex]
[tex]\sf{ = (117 - 10 ){\degree}}[/tex]
[tex]\sf{ = 107{\degree}}[/tex]
Now, we know that,
Sum of angles of triangles is equal to 360°That is,
[tex]\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]
[tex]\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]
[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]
[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]
[tex]\bold{ 360{\degree} = 360{\degree}}[/tex]
[tex]\bold{ LHS = RHS }[/tex]
Hence, Proved.
Can someone help me solve this problem please
Answer:
=10cm
Step-by-step explanation:
=4times5 divided by 2
But that is only one triangle, the whole area is 40cm*2
HELP PLEASEEEE 24 points!! 7th grade math
Answer:
I think that A 60 and B is acute it must de a bigger 90.
Step-by-step explanation:
Please I need help. Use the diagram to find the measure of LM.
The arc angle LM of the circle is 60 degrees.
How to find the arc angle of a circle?The arc angle LM of the circle can be found as follows:
The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
Therefore, let's find the central angle that subtend LM in the circle as follows:
central angle = 180 - 120 = 60 degrees(angle on a straight line)
Hence, the central angle is equals to the arc angle.
Therefore,
arc LM = 60 degrees
learn more on angles here: https://brainly.com/question/28626462
#SPJ1
What is the surface area? 1 in 2 in 2 in square inches
Answer:
4 inches squared… but if this is wrong it’s probably because you didn’t specifically say what shape it is
what quadrilateral is this
" First of all, this is a hexagon which has 6 sides and 6 angles "
It is usually referred as regular Hexagon.Answer:
Step-by-step explanation:
This is NOT a quadrilateral as the shape has 6 sides with 2 pairs of them parallel to each other. All quadrilaterals have 4 sides instead.
What is the slope of a line perpendicular to the line whose equation is 15x+18y=270. Fully simplify your answer.
Answer:
6/5
Step by step explanation:
Here we are provided with a equation which is ,
[tex]\longrightarrow 15x + 18y = 270 [/tex]
And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,
[tex]\longrightarrow 18y = -15x +270\\ [/tex]
[tex]\longrightarrow y =\dfrac{-15x+270}{18}\\[/tex]
[tex]\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\ [/tex]
[tex]\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4} [/tex]
Recall the slope intercept form of the line which is y = mx + c .On comparing to which we get ,
[tex]\longrightarrow m =\dfrac{-5}{6} [/tex]
Again , recall that product of slopes of two perpendicular lines is -1. So that ,
[tex]\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)[/tex]
Hence ,
[tex]\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}[/tex]
And we are done !
The slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.
The equation of the given line is 15x + 18y = 270. To find the slope of this line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where 'm' represents the slope.
First, solve for 'y':
18y = -15x + 270
y = (-15/18)x + 270/18
y = (-5/6)x + 15
The slope of the given line is -5/6.
For a line perpendicular to this, the slope will be the negative reciprocal of -5/6. The negative reciprocal of a fraction 'a/b' is -b/a.
So, the slope of a line perpendicular to the given line is:
Slope = -(-6/5) = 6/5
Fully simplified, the slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.
To know more about slope:
https://brainly.com/question/3605446
#SPJ3
I need help!
I've been stuck on these for a couple days.
Each one is a different question.
Thanks
two segment drawn from one point outside the circle are equal
[tex]\\ \rm\hookrightarrow 6/x=5/x+3[/tex]
[tex]\\ \rm\hookrightarrow 6(x+3)=5x[/tex]
[tex]\\ \rm\hookrightarrow 6x+6=5x[/tex]
[tex]\\ \rm\hookrightarrow x=-6[/tex]
#2
[tex]\\ \rm\hookrightarrow \dfrac{4}{2x}=\dfrac{5}{x}[/tex]
[tex]\\ \rm\hookrightarrow 4x=10x[/tex]
No solution.
Find a . b if a = 3i + 8j and b= -0.5i - 4j.
Answer:
Step-by-step explanation:
a ramp 19 ft long rises to a platform that is 17 ft off the ground. Find x, the angle of elevation of the ramp
HELPP FOR BRUANLEST!!!
Answer:
17/18
Step-by-step explanation:
okay this one is a bit different
you have to take the total number that are batwing-shaped (12) and the total number that are made of cotton (12) and then subtract the ones that are both batwing-shaped and made of cotton.
so 12+12-7 which is 17
then you put that over the total (18)
17/18 doesn't simplify
Chloe has 12 commemorative plates and 18 commemorative spoons. She wants to display them in groups throughout her house, each with the same combination of plates and spoons, with none left over. What is the greatest number of groups Chloe can display?
6 plates with 3 spoons or 9 plates with 2 spoons
The point (7,0) is reflected over the x-axis. What do you notice about the coordinates of the reflected point? Why is this
Answer:
reflected point: (7, 0)any point on the line of reflection is invariantStep-by-step explanation:
The point (7, 0) becomes the point (7, 0) when reflected over the x-axis. That is, its coordinates do not change.
The point (7, 0) lies on the x-axis, so is on the line of reflection. Any point on the line of reflection is invariant--it doesn't move.
__
The transformation for reflection in the x-axis is ...
(x, y) ⇒ (x, -y)
(7, 0) ⇒ (7, 0) . . . . . . the opposite of 0 is 0
Teresa bought 4 gallons of juice for her family. How many ounces of juice did Teresa buy?
please please, please, please, please, please, please help me please
Answer:
The lines are parallel.
The lines are perpendicular.
The lines must have a slope value of m=1.
The lines intersect at the origin
Answer:
the lines are parallel because yes
HELP 100 POINTS The population of a city is modeled with the function P=250,000e^0.013t, where t is the number of years since 2000. In what year will the population reach 450,000?
I need advice on this answer not good at math
Answer:
A rational number is defined as a number that can be written as a fraction and a number that terminates.
An irrational number is defined as a number that can't be written as a fraction and a number that has no end.
Step-by-step explanation:
4/7 is irrational because, in decimal form, it is 0.57142857...
Square root of 30 is also irrational because the square root is 5.47722557...
21 divided by square root of 4 is rational because square root of 4 is 2 and 21 divided 2 is 10.5.
pi is irrational because, in decimal form, it is 3.14159265....
-27 is also rational because it terminates
Answer:
4/7 rational, Sq root 30 irrational, 21/Sq root 4 rational, pi irrational, -27 irrational
Step-by-step explanation:
3) Estimate the product by rounding each number to its highest place value. 3,812.99 x 62.7=
Answer:
The answer without rounding the numbers to the highest place value is 239074.473 if this was rounded to the nearest whole number it will be 239074
Step-by-step explanation:
3812.99 would be rounded to 3813
62.7 would be rounded to 63
3813*63=240219 <-----Correct answer
hope this helps mark brainliest please :)
How are the expressions 1/3Bh and 1/3 πr²h related?
Hey!!! Can anyone help me please!
Answer:
it will not change
Step-by-step explanation:
the outlier is 3
the mode is the most occuring value in the list which is 16 before and after the 3 is removed
Analyzing Tables for Exponential Relationships
Which table represents an exponential function?
1
2
3
?
Angle e and f are vertical angles if angle e has a measure of (4x +2) degrees and angle f has a measure of 70 degrees what is the value. Of x
Answer: 17
Step-by-step explanation:
Math problem of in to feet. The answer that I have is incorrect.
Answer: 15.75
Step-by-step explanation: 4.5 x 3.5