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The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = Ź, find sin 0.
sin 0 =
V 역
Simplify the fraction.
Enter
Answers
Answer:
√7 / 4
Step-by-step explanation:
Trigonometrical identity are used to show the relationship between the sides and angles of a right angled triangle. Some trigonometric identities are:
sinΘ = opposite / hypotenuse, cosΘ = adjacent / hypotenuse, tanΘ = opposite / adjacent.
Given that cosΘ = 3 / 4
Therefore, cosΘ = adjacent / hypotenuse = 3 / 4
adjacent = 3, hypotenuse = 4. Let x be the opposite side, to get the opposite side, we use Pythagoras theorem:
opposite² + adjacent² = hypotenuse²
x² + 3² = 4²
x² + 9 = 16
x² = 7
x = √7
sinΘ = opposite/hypotenuse = √7 / 4
Related Questions
2.
Which inequality statement best represents the graph?
A. f(x) ≥ 2x2 + 4x
B. f(x) ≤ –2x2 + 4x
C. f(x) ≤ 2x2 + 4x
D. f(x) ≥ –2x2 + 4x
Answers
Answer:
The answer is A. f(x) ≥ 2x2 + 4x or C. f(x) ≤ 2x2 + 4x
Step-by-step explanation:
Vertex:
( − 1 , − 2 )
Focus:
( − 1 , − 15 /8 )
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
−
17
8
x
y
−
3
6
−
2
0
−
1
−
2
0
0
1
6
Vertex:
( − 1 , − 2 )
Focus:
( − 1 , − 15 /8 )
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
−
17
8
x
y
−
3
6
−
2
0
−
1
−
2
0
0
1
6
Vertex:
( 1 , 2 )
Focus:
( 1 , 15 /8 )
Axis of Symmetry:
x
=
1
Directrix:
y
=
17
8
x
y
−
1
−
6
0
0
1
2
2
0
3
−
6
Vertex:
( − 1 , − 2 )
Focus:
( − 1 , − 15 /8 )
Axis of Symmetry:
x
=
−
1
Directrix:
y
=
−
17
8
x
y
−
3
6
−
2
0
−
1
−
2
0
0
1
6
Vertex:
( 1 , 2 )
Focus:
( 1 , 15 /8 )
Axis of Symmetry:
x
=
1
Directrix:
y
=
17
8
x
y
−
1
−
6
0
0
1
2
2
0
3
−
6
Your friend's house is 10.8 miles north and 14.4 miles east of the bank. How far is your friend's house from the bank?
Answers
Answer:
Its 25.2
Step-by-step explanation:
14.4 + 10.8
If friend house is 10.8 miles north and 14.4 miles east of the bank then distance of person's house from bank is 18 miles.
What is pythagoras theorem?Pythagoras theorem says that in a right angled triangle the square of hypotenuse is equal to the sum of squares of base and perpendicular of that triangle.
[tex]H^{2} =B^{2} +P^{2}[/tex] in which P is perpendicular, B is base, H is hypotenuse of triangle.
How to find hypotenuse?When we express person's house,his friend's house and bank on the surface then it will look like a right angled triangle.
H=[tex]\sqrt{B^{2} +P^{2}}[/tex]
=[tex]\sqrt{10.8^{2} +14.4^{2} }[/tex]
=[tex]\sqrt{324}[/tex]
=18 miles
Hence the distance of person's house from bank is 18 miles.
Learn more about pythagoras theorem at https://brainly.com/question/343682
#SPJ2
Question is wrong as the right question is that calculate the distance between person's house and bank.
Plot the points (2, 5), (2, -4), (10, 5), and (10, -4) on a coordinate plane. What is the perimeter of this polygon?
Answers
Answer:16
Step-by-step explanation:
i just need to the points sorry dude
Sarita deposits $1,00 in an account paying 3.4% annual interest compounded continuously. Use the formula to continuous compounded interest, A=Pe rt , where p is the principal, r is the annual interest rate, and t is the time in years.
A. What is the balance in Sarita's account after 5 years?
B.How long will it take the balance in Sarita's account to reach $2,000
Answers
Answer:
Step-by-step explanation:
a : 1,000
b : 350
PLSSS HELP!!! THIS IS MY LAST QUESTION!
Nicolette decided to see what the class could earn from each activity in the same number of weeks. she decided to see how much they could earn in weeks.
a. Why do you think Nicolette chose 12 weeks?
b. how much could they earn from each activity in 12 weeks
d. how can this help Nicolette decide which way will earn more money.
Answers
Answer:
D seems most credible .
Hopefully this helped
HELP I NEED TO GRADUATE
Answers
Answer:
Step-by-step explanation:
17/20 x 2/3
Then 17/10 x 1/3 = 17/30
After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the water. They start 2000 meters below the surface of the water and ascend at 55 meters per hour. A) Write an equation in slope-intercept form to model this situation where D is the distance under water and H is the time in hours. B) How many meters below the surface is the submarine after 6 hours?
Answers
Answer:
D(h) = 55h - 2000
1670 m
Step-by-step explanation:
Given :
Starting elevation, D = - 2000 m (2000 m below sea level)
Rate, h = 55 m per hour.
The slope - intercept relation :
y = mx + c
m = slope = rate of change
c = intercept
In the scenario given :
-2000 = intercept
55 = rate of change
D(h) = 55h - 2000
After 6 hours :
D(6) = 55(6) - 2000
D(6) = - 1670 m
Which is the answer no links please.
Answers
Answer:
c
Step-by-step explanation:
No links please! And I need this math answer quick
Answers
Answer:
2r-3(r+7)-8r=10(r-1)
2r-3r-21-8r=10r-10
-9r-10r=-10+21
-19r=11
-19/11=r
Step-by-step explanation:
How does the graph of g(x) = x+ 5 compare with the graph of the parent
function, f(x) = X?
A. The graph of g(x) is compressed vertically by a factor of 5.
B. The graph of g(x) is compressed horizontally by a factor of 5.
C. The graph of g(x) is shifted 5 units up.
D. The graph of g(x) is shifted 5 units to the right.
Answers
Answer:
C. The graph of g(x) is shifted 5 units up.
Step-by-step explanation:
The transformation shown shows a vertical translation.
[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]
The graph would move f(x) five units up.
Hope this helps.
I REALLY NEED HELP PLS
Answers
Answer:
Step-by-step explanation:
100+2x+40=180(sum of interior angle of a triangle)
140+2x=180
2x=180-140
2x=40
x=40/2
x=20
Answer:
x=20
Step-by-step explanation:
the sum of the angles of a triangle is 180
so it means,
100+40+(2×)=180
140+(2×)=180
2×=180-140
2×=40
divide both sides by 2
x=20
to prove this substitute 20 inside see if the result is 180
40+100+(2×)=180
×=20
40+100+(2 (20))=180
140+40=180
140+40=180
Good luck.
HELP AGAIN PLEASE THANK YOU
Answers
Answer:
A. 10/11
Step-by-step explanation:
[tex]A. \: 10 \sqrt{11} [/tex] ✅
Step-by-step explanation:
[tex]( \sqrt{22} )(5 \sqrt{2} ) \\ = 5 \sqrt{22 \times 2} \\ = 5 \sqrt{2 \times 2 \times 11} \\ = 5 \sqrt{ {2}^{2} \times 11 } \\ = 5 \times 2 \sqrt{11} \\ = 10 \sqrt{11} [/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Write the exponential function
Answers
Answer: f(x)=3(2)^x (The second option)
Step-by-step explanation:
By plugging in x values from the chart into this equation, we can see it matches. For example, lets use x=3. 3*(2)^3 = 3*2*2*2 = 3*8 = 24. And 24 lines up with 3 on the chart. Solved!
What is 1519 rounded to the first digit
Answers
Answer:
1520
Step-by-step explanation:
hope it is helpful
Plot these points in the graph:
f(x)=(x+1)(x-5)
Answers
Answer:
graph based on step by step
Step-by-step explanation:
Graph the x intercepts, when x=0 set x+1=0 and x-5=0 and you get x=5 and x=-1, these are the points when y=0. then you can foil them out and see the way the parabola is structured, then you see that the middle of the intercepts is x=2, plug that into the equation either in intercept form of standard (foiled) and find the maximum/minimum
What is m<1?
A. 21°
B. 23°
C. 24°
Answers
Hi there!
[tex]\large\boxed{\text{B. }23^o}[/tex]
According to a circle theorem:
m∠1 = 1/2(a - b) where a and b are angles.
Thus:
m∠1 = 1/2(94 - 48)
Simplify:
m∠1 = 1/2(46) = 23°. The answer is B.
Is it possible to boost your math average of 6-7 percent in a week of homework and participating.
Answers
yes just do everything and study and u'll do fine :)
What's the value of X for the figure below?
Answers
Answer:
75+30+x+30+x+75=360
210+2x=360
2x=360-210
2x=150
x=150/2
x=75
Step-by-step explanation:
therefore x=75 degree
28 - f =30.5 What is the value of f
Answers
Answer:
-2.5
Step-by-step explanation:
28 - f = 30.5
-f = 30.5-28
-f=2.5
f=-2.5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{28 - f =30.5}[/tex]
[tex]\large\textsf{Or you can say: \textsf{-f + 28 = 30.5}}[/tex]
[tex]\rm{SUBTRACT\ 28\ to\ BOTH\ SIDES}[/tex]
[tex]\mathsf{-f + 28 - 28 = 30.5 - 28}[/tex]
[tex]\rm{CANCEL\ out: 28 - 28\ because\ that\ gives\ you\ 0}[/tex]
[tex]\rm{KEEP: 30.5 - 28\ because\ that\ helps\ solve\ for\ your\ f-value}[/tex]
[tex]\mathsf{30.5-28=\bf 2.5}[/tex]
[tex]\rm{New\ EQUATION: -f = 2.5}[/tex]
[tex]\textsf{When we have a variable by itself, it is usually understood as an invisible 1 }[/tex]
[tex]\rm{DIVIDE\ -1\ to\ BOTH\ SIDES}[/tex]
[tex]\mathsf{\dfrac{-f}{-1}=\dfrac{2.5}{-1}}[/tex]
[tex]\rm{CANCEL\ out: \dfrac{-1}{-1}\ because\ that\ gives\ you\ 1}[/tex]
[tex]\rm{KEEP: \dfrac{2.5}{-1}\ because\ it\ gives\ you\ the\ f-value\ result}[/tex]
[tex]\mathsf{f =\dfrac{2.5}{-1}}\\\\\large\text{or you can say}\downarrow\\\\\mathsf{2.5\div -1=\bf f}[/tex]
[tex]\uparrow\textsf{SIMPLIFY ABOVE AND YOU WILL HAVE YOUR RESULT OF \bf F}\uparrow[/tex]
[tex]\boxed{\boxed{\large\text{Amswer: \huge \bf f = -2.5}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Three yams are chosen at random from 15 tubers of which 5 are spoilt Find the probability that, of the three chosen tubers (A) none is spoilt. (B) all are spoilt. (C) exactly one is spoilt. (D) at least one is spoilt
Answers
Step-by-step explanation:
.....................
The volume of a large aquarium is 210 ft3 . It is 5 ft wide and 6 ft high. What is the length of the aquarium?
Answers
Answer:
7 ft.
Step-by-step explanation:
210 / (5*6)
= 210/30
= 7 ft.
HELP
Find the slope between the two points (6,-3) (7,2)
Answers
Answer: The slope is 5
Step-by-step explanation:
Answer:
m=5
Step-by-step explanation:
hope this helps!
Dev has 9 shells. Zoe has 55 shells. Zoe gives some shells to Dev. Now Zoe has 3 times as many as Dev.
How many shells does Zoe give to Dev?
Answers
Answer:let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.
Step-by-step explanation:
PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE
Answers
Answer:
hiii
zom I'd 213 088 8336
p 0
come for s
Answer:
113 degree
Step-by-step explanation:
missing angle is 113 degree because the relation between 113 degree and missing angle is alternate interior angle and alternate interior angles are always equal.
Emmet has already baked 2 pies, and he can bake 2 pies with each additional cup of sugar he buys. How many additional cups of sugar does Emmet need in order to bake a total of 40 pies?
Answers
Answer:
19
Step-by-step explanation:
He can make 2 pies with one cup of sugar so he can make 40 pies with 20 cups of sugar. He already used a cup of sugar so the total is 19 (20-1)
Please give me answer please
Answers
Answer:
ESIUGSID
Step-by-step explanation:
ALIMONY
First and last letter swapped.
ALIMONY ==> Y_ _ _ _ _A
Then every two letters are reversed.
ALIMONY ==> Y I L _ _ _ A
ALIMONY ==> Y I L _ N O A
ALIMONY ==> Y I L M N O A
Same steps for DISGUISE
First and last letter swapped.
DISGUISE ==> E _ _ _ _ _ _ D
Then reverse every two letters.
DISGUISE ==> E S I U G S I D
William is planning a party. He spent $110.74 to buy 9.8 pounds of candy for favors. What was the cost per pound of the candy? (Do not include the $ sign in your answer.)
Answers
Answer: $11.30 per pound
Step-by-step explanation:
William spent $110.74 to buy 9.8 pounds of candy.
To find the cost per candy, divide the amount spent by the quantity of candy:
=Amount spent on candy / Quantity of candy
= 110.74 / 9.8
= $11.30 per pound
Find the missing side of the triangle.
Solve for X
Answers
Answer:
11.18 or 11 yards
Step-by-step explanation:
15² - 10² = x²
225 - 100 = x
225 - 100 = 125
√125 = 11.180339887498948482045868343656
11.180339887498948482045868343656 rounded to the nearest hundredth is 11.18; to the nearest tenth is 11.2; and to the nearest one is 11.
A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock
Answers
Answer:
9.2929
Step-by-step explanation:
La promoción de 5to grado de secundaria "Jóvenes caminando hacia el éxito" han estado realizando actividades
para su viaje y fiesta de promoción, logrando hasta la fecha juntar la suma de S/. 24 000. Por ello, el comité de
padres de familia convocó una reunión general para decidir dónde depositar el dinero, presentando dos opciones
de ahorro:
Opción 1: Depósito por 2 años que paga el 10% trimestral en interés simple.
Opción 2: Depósito por 2 años en una cuenta que paga el 18% de semestral compuesto anual.
Ayuda a los padres de familia de la promoción a elegir la mejor opción.
ACTIVIDAD 2:
Carolina y Carla son dos hermanas gemelas quienes ganaron S/.3450 en el Bingo organizado por su parroquia,
decidiendo gastar S/. 1450 en un viaje a Cuzco y repartirse el resto en partes iguales. Cada hermana decidió
ahorra en su Banco de confianza. ¿Cu
Answers
Answer:
Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.
Step-by-step explanation:
El monto recaudado por la escuela secundaria = S / 24,000
Las opciones que tienen los padres para depositar el dinero son;
Opción 1:
El interés simple del depósito = 10%
El número de veces que se aplica el interés anualmente = Trimestral
El número de años para el depósito = 2 años
opcion 2
La tasa de interés del depósito, r = 18% de interés simple.
El número de veces que se aplica el interés = Semestralmente
La cantidad de años que se ahorrará la cantidad = 2 años
Opción 1
Observamos que para el interés simple no hay interés ganado sobre el interés anterior.
Por lo tanto;
Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;
Yo = P × R × T / (100)
∴ I₁ = 24.000 × 40 × 2/100 = 19.200
El interés después de 2 años en la opción 1, I₁ = S /. 19.200
opcion 2
Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;
Yo = P × R × T / (100)
∴ I₂ = 24.000 × 36 × 2/100 = 17.280
El interés después de 2 años en la opción 2, I₂ = S /. 17.280
Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%