Answers
Answer:
Step-by-step explanation:
The trigonometric function gives the ratio of different sides of a right-angle triangle.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
Given for ∠X, the base side is 7, the perpendicular side is 4√2, while the hypotenuse side is 9. Therefore, the value of the trigonometric ratios are:
[tex]\rm Sin X=\dfrac{4\sqrt2}{9}\\\\\\Cos X=\dfrac{7}{9}\\\\\\tan X=\dfrac{4\sqrt2}{7}[/tex]
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Related Questions
What is XY? Please help ♡
Answers
Answer:
c
Step-by-step explanation:
hope this helps :)
Answer:
I think its C Aka: 5√2
Step-by-step explanation:
Solve for the variable x.
Answers
Answer:
x = 84/5 = 16.8
Step-by-step explanation:
The angle bisector theorem said that
21/15 = x/12
==> 7/5 = x/12
==> x = 84/5
x-y=12 solve each system
Answers
Answer:
x-y-12=0
Step-by-step explanation:
x-y-12=12-12
x-y-12=0
please help (the question is in the attached image)
Answers
Answer:
a.the length of midsegment of an equilateral triangle with side lengths of 12.5 cm.=12.5/2=6.25cm
b.
sinceUT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.
than AT=BT
3x+6=42-x
3x+x=42-6
x=36/4=9
AT=3×9+6=27+6=33
c.
since angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
EH=GH
5y+10=28-y
6y=28-10
y=18/6=3
Find such a coefficient for a for the linear equation ax-y=4, so that the graph of the equation would pass through the point M(3,5). Build the graph of this equation
PLSSS I REALLY NEED HELP!!!
Answers
Answer:
Can you send me a picture I am confused
Step-by-step explanation:
What is the slope of the line graphed below?
Answers
Party that math class up
Jenna used 3¼ cups of butter for her secret sugar cookie recipe. Her recipe bakes 18 cookies. If she needs to bake 45 cookies for her school’s bake sale, how many cups of butter should she use?
Answers
Answer:
well, 45/18 = 2.5
So she will need 2.5 as much of everything in her recipe
what is 2.5*(3 1/4) ?
do it as 2.5*3.25 or (5/2)(13/4)
Step-by-step explanation:
Evaluate the function if f(x)=x²-2x+1. Find f(-1+√2)
Can someone help me please?
Answers
Answer:
6 - 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
To evaluate, substitute x = - 1 + [tex]\sqrt{2}[/tex] into f(x)
f(- 1 + [tex]\sqrt{2}[/tex] )
= (- 1 + [tex]\sqrt{2}[/tex] )² - 2(- 1 + [tex]\sqrt{2}[/tex] ) + 1 ← expand squared factor using FOIL
= 1 - 2[tex]\sqrt{2}[/tex] + 2 + 2 - 2[tex]\sqrt{2}[/tex] + 1 ← collect like terms
= 6 - 4[tex]\sqrt{2}[/tex]
why is -25 divided by -5 five
Answers
Answer:
-25/-5
subtraction sign will eliminate each other
and 5 divided by 25 is 5
therefore -25/-5=5
Calculate the diameter or a circle with a radius of 12cm. show all your work.
PLZ HELPP
Answers
Answer:
24cm
Step-by-step explanation:
a radius is half the diameter
12x2=24
Answer:
Step-by-step explanation:
Diameter of a circle = 2 x radius
= 2 x 12 = 24cm
I WILL BRAINLIST YOU
Answers
Answer:
[tex]h = \frac{16\sqrt{3} }{3} , f = \frac{8\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Use proportions for 30-60-90 triangle.
Simplify:
49 - 4 x 49 ÷ 7
21
34
36
Answers
Answer:
21
Step-by-step explanation:
49 - 4 x 49 / 7 =
49 - 196 / 7 =
49 - 28 =
21
Hope that helps!
Answer:
pemdas
Step-by-step explanation:
4 times 49 =196
196 divided by 7= 28
49 minus 28=21
THE ANSWER IS 21
Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishaan was 3 times as old as Christopher.
How old is Christopher now?
Answers
Answer: Yw :^
Step-by-step explanation: Present: Ishaan = Christopher + 20 - Equation 1
1 years back: Ishaan-14 = 3(Christopher-14) - Equation 2
Solve above equations:
I = 3c-42+14
I = 3c-24
I = c+20
2c-44 = 0
Christopher = 22 then from Equation 1
Ishaan = 22 + 20 = 42
A game of "Doubles-Doubles" is played with two dice. Whenever a player rolls two dice and both die show the same number, the roll counts as a double. If a player rolls doubles, the player earns 3 points and gets another roll. If the player rolls doubles again, the player earns 9 more points. Whenever the player rolls the dice and does not roll a double, they lose points. How many points should the player lose for not rolling doubles in order to make this a fair game? Now O 1 Mark this and return Save and Exit Next
Answers
Answer:
27/35
Step-by-step explanation:
just did it on edg
The number of points that should the player lose for not rolling doubles in order to make this a fair game is [tex]27\div 35[/tex]
Calculation of the number of points:Since If a player rolls doubles, the player earns 3 points and gets another roll. If the player rolls doubles again, the player earns 9 more points.
So here the probabilities could be
one double= [tex]5\div 36[/tex]
two doubles [tex]=1\div 36[/tex]
no doubles =[tex]1\div6[/tex]
Now
here we assume the number of points be x
So,
[tex]12\div 36 + 5[(3-x)\div 36] - (5)(x\div 6) = 0\\\\x=27\div 35[/tex]
Therefore, The number of points that should the player lose for not rolling doubles in order to make this a fair game is [tex]27\div 35[/tex]
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Janet is designing a garden in the shape of a trapezoid which is split into three parts: two triangular
flower beds and a rectangular section of grass. Setting up the flower beds costs $3.50 per square
foot. How much will Janet have to spend to set up the flower beds?
PLS HELP
Answers
Ans) 70
Tell me if you need steps
(Am 100% sure with this answer)
6 m
5 m
3 m
Find the area of this figure. Round your
answer to the nearest hundredth.
Use 3.14 to approximate a.
A = [?] m2
Notice that only half of the circle is included in the figure!
Answers
Answer:
51.63m^3
Step-by-step explanation:
The figure is made up of a rectangle, triangle and a semi circle
Area of the figure = Area of triangle + rectangle + semicircle
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * 3 * 5
Area of the triangle = 15/2
Area of the triangle = 7.5m^3
Area of the rectangle = Length * Width
Area of the rectangle = 6 * 5
Area of the rectangle = 30m^2
Area of the semicircle = πr²/2
Area of the semicircle = π(3)²/2
Area of the semicircle = 3.14(9)/2
Area of the semicircle = 3.14 * 4.5
Area of the semicircle = 14.13m^2
The area = 30 + 14.13+7.5
Area of the figure = 51.63m^3
Answer:
51.63m²
Step-by-step explanation:
Please help me.................
Answers
Jackson is making lemonade for a class party tablespoons of lemonade mix for 6 oz of water he wants to make four quarters of lemonade how much lemonade makes does Jackson need
Answers
Answer:
can u ask him to make some for me too? thx!
Step-by-step explanation:
If Carlos can read 100 words per minute
Answers
Answer:
the answer would be 6,000 words.
Step-by-step explanation:
if there are 60 minutes in an hour and Carlos can read 100 words per minute, all you have to do is multiply 100 by 60 to get 6,000.
Jamal has some counters in a bag.
36% of the counters are red
the rest of the counters are yellow
Jamal puts 50 blue counters into the bag.
Now 25% of the counters in the bag are blue.
Work out the number of yellow counters in the bag.
(3 marks)
Answers
The number of yellow counters in the bag Jamal has got for this case is obtained being 96
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Given that:
The bag initially had 36% of red counters and rest of the counters being yellow in color.Later was added 50 blue counters.The number of blue counter in the bag is 25% of all the counters in the bag.Let the initial number of counters in the bag be 'x'
Then, 36% of x is:
[tex]\text{Number of red counters} = \dfrac{x}{100} \times 36 = 0.36 \times x[/tex]
Rest of them are yellow, so we get:
[tex]\text{Number of yellow counters} = x - \dfrac{x}{100} \times 36 = x(1-0.36) = 0.64 \times x[/tex]
Now, adding 50 blue counters make:
Total count of counters in bag = [tex]x + 50[/tex]
25% of this count is blue, and we know its 50. Thus, we get:
25% of (x+50) = 50
or
[tex]\dfrac{x+50}{100} \times 25 =50\\\\x+50 = 4 \times 50\\\\x = 200-50 = 150[/tex]
Thus, there were 150 coutners in the bag, initially.
The number of yellow counters is:
[tex]\text{Number of yellow counters} = 0.64 \times x = 0.64 \times 150 = 96[/tex]
Thus, the number of yellow counters in the bag Jamal has got for this case is obtained being 96
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solve.
6x + 9x – 18y
Answers
Answer:
15x - 18y
Step-by-step explanation:
Combine like terms:
6x+9x= 15x
-18y
FA: 15x - 18y
Transformations that would map figure w onto figure x.
Is my answer right?
Answers
Answer:
Wrong
Step-by-step explanation:
I think its 180° clockwise and 5 units down
But im not so sure check it first
Mike bought a bottle of gatorade for $1
and some granola bars for $2.50
each. How many granola bars did he
buy if he spent $11 total?
Answers
Answer:
4 granola bars
Step-by-step explanation:
x is the number of granola bars
1 + 2.5x = 11
2.5x = 10
x = 4
Can anyone help me with this question ?
Answers
Answer:
pa answer Lang ako KC nag bibigay ako NG points
Find the distance between the two points in simplest radical form.
(6,2) and (4, -2)
Answers
Amy bought a diamond ring for $6,000. If the value
of the ring increases at a constant rate of 5.8% per
year, how long will it take for the ring to be worth
$19,000?
Show work
Answers
Answer: $13,308
5.8% of 6000 is 348. 348 times 21 is $7,308. add 6,000 to 7,308 and you get $13,308
Step-by-step explanation: amy likes cheap rings LOL
Answer:
54 3/4 years
Step-by-step explanation:
5.8% of 6,000= 348
348x54 3/4=19,053
hope it helps!
I need help on this fast!
Answers
Answer:
9100x < 28000
Step-by-step explanation:
Hope this helps! :D
Find the value of the marked angles in each of the following ( see image ).
Please show workings.
The only given angle is 40°
The angle to look for is marked by “))”
Answers
Answer:
50°Step-by-step explanation:
Assumed that 40° is the angle of the smaller triangle.
The missing angle is complementary with 40° as part of similar triangles and intercepted arcs.
Its measure:
90° - 40° = 50°A data scientist tracked how many cups of coffee she drank every day at work over the course of a year. She used the data to build a probability distribution where the random variable CCC represents the number of cups of coffee she drank on a given day. Here is the partially completed distribution
Answers
The ommitted distribution :
C : ___ 0 ____ 1 ____ 2 ____ 3
P(C) :_0.05 _ 0.10 _ 0.75 _ 0.10
Answer:
0.19
Step-by-step explanation:
Given the table :
C : ___ 0 ____ 1 ____ 2 ____ 3
P(C) :_0.05 _ 0.10 _ 0.75 _ 0.10
The mean of the distribution is defined as :
ΣX * p(X)
Therefore ;
Σ(C * P(C))
= (0*0.05) + (1*0.10) + (2*0.75) + (3*0.10)
= 0 + 0.10 + 1.50 + 0.30
= 1.90
The mean, also the expected value gives the average number of coffee sold.
find the value (-8)+(+14)