if sin150=1/2 then find sin75
Answer:
0.966
Step-by-step explanation:
When typed into a calculator, sin75 = -0.3877816354
Upon converting to degrees, the full answer is 0.96592582628
If 2 tacos and 5 drinks cost $20, And three tacos and five drinks cost $25 how much does a taco cost
The cost of each taco for the given problem is $5.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given that,
The cost of 2 tacos and 5 drinks cost is $20.
And, the cost of 3 tacos and 5 drinks cost is $25.
Suppose the cost of each taco and drink be x and y respectively.
Then the following equations can be written for the given case,
2x + 5y = 20 (1)
3x + 5y = 25 (2)
Subtract equation (1) from (2) to obtain,
3x + 5y - (2x + 5y) = 25 - 20
=> x = 5
Hence, the cost of a taco is $5.
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Solve for x.
3x/6 + 2 = 8
Answer:
x=12
Step-by-step explanation:
3x/6 + 2 = 8
Subtract 2 from each side
3x/6 + 2-2 = 8-2
3x/6 =6
Multiply each side by 6/3
6/3 * 3/6 x = 6 *6/3
x = 36/3
x = 12
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x}{6} \: + \: 2 \: = \: 8 }}} }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x}{6} \: = \: 8 \: - \: 2 }}} }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x}{6} \: = \: 6 }}} }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x}{6} \: + \: 6}}} }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x \: + \: 36}{6} \:}}} }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x \: + \: \cancel{36} \: \: ^{6} }{ \cancel6} \:}}} }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \: x \: = \: \frac{36}{6} }}} }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \: x \: = \: \cancel\frac{{36}{ \: ^{6} }} {6} }}} }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \: x \: = \: 6 }}} }}} \\ [/tex]
Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
2 sin2(θ) = 2 + cos(2θ)
θ=
Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
cos(2θ) + 7 cos(θ) = 8
θ=
For the first equation, recall that sin²(θ) = (1 - cos(2θ))/2. Then
2 sin²(θ) = 2 + cos(2θ)
1 - cos(2θ) = 2 + cos(2θ)
2 cos(2θ) = -1
cos(2θ) = -1/2
2θ = arccos(-1/2) + 2nπ or 2θ = 2π - arccos(-1/2) + 2nπ
(where n is any integer)
2θ = 2π/3 + 2nπ or 2θ = 4π/3 + 2nπ
θ = π/3 + nπ or θ = 2π/3 + nπ
In the interval [0, 2π), the solutions are θ = π/3, 2π/3, 4π/3, 5π/3.
For the second equation, rearrange the previous identity to arrive at
cos(2θ) = 1 - 2 sin²(θ) = 2 cos²(θ) - 1
Then
cos(2θ) + 7 cos(θ) = 8
2 cos²(θ) - 1 + 7 cos(θ) = 8
2 cos²(θ) + 7 cos(θ) - 9 = 0
(2 cos(θ) + 9) (cos(θ) - 1) = 0
2 cos(θ) + 9 = 0 or cos(θ) - 1 = 0
cos(θ) = -9/2 or cos(θ) = 1
Since |-9/2| > 1, and cos(θ) is bounded between -1 and 1, the first case offers no solutions. This leaves us with
cos(θ) = 1
θ = arccos(1) + 2nπ
θ = 2nπ
so that there is only one solution in [0, 2π), θ = 0.
Which symbol would best replace the question marks below?
98 ? 89 ? 58 ? 46 ? 36 ? 4
O A. >
B. <
C. =
Answer:
The symbol in option A will best replace the question marks below
Step-by-step explanation:
If you like my answer than please mark me brainliest
Use the tables to answer the question.
How can you determine which store offers a better price on guitar lessons?
A. You cannot determine this from the information given.
B. Compare the most expensive price from each store’s table.
C. Compare the least expensive price from each store’s table.
D. Find the cost of 1 week of guitar lessons for each store and compare.
Answer:
D. Find the cost of 1 week of guitar lessons for each store and compare.
Step-by-step explanation:
Find the cost for 1 week of guitar lessons by finding the slope of the data.
[tex]\frac{y_2-y_1}{x_2-x_1}\\\\ A.)\frac{132-66}{6-3}=\frac{66}{3}=22\\\\ B.)\frac{168-84}{8-4}=\frac{84}{4}=21[/tex]
Therefore, Store B would be the best choice.
a farmer needs 5 men to clear his farm in 10 days. How many men will he need if he must finish clearing the farm in two days if they work at the same rate?
Answer:
25 workers
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
,
Please helpppppp I need to pass
Answer:
x = -1.4 and x=2
Step-by-step explanation:
The solutions are where the graphs intersect
The graphs appear to intersect at x = -1.4 and x=2
Which equation has the graph shown below? (0, 3) (2,0)
Answer:
6x+4y=12
Step-by-step explanation:
when x-intercept is 0
6(0)+4y=12
0+4y=12
divide by 4 both side
y=3
when y-intercept is 0
6x+4(0)=12
6x+0=12
6x=12
divide by 6 both side
x=2
help
plz
help
plz
help
PLZ
HHHEEEELLLPPP
Answer:
[tex]f=-\frac{15}{4}[/tex]
Step-by-step explanation:
The first thing to do when solving any equation is to isolate the unknown variable. In this case we should start by trying to isolate f on the left side. We can do this by subtracting 1/4 from both sides, as this will move it to the other side while keeping the equation equal:
[tex]f+\frac{1}{4} =-\frac{7}{2} \\\\f+\frac{1}{4} -\frac{1}{4} =-\frac{7}{2} -\frac{1}{4} \\\\f=-\frac{7}{2} -\frac{1}{4}[/tex]
Now that we have isolated the f, we can simplify the other side. We can't subtract them right away as they have different denominators, but we can solve this by multiplying the 7/2 by 2 so that its denominator is 4, allowing us to subtract the numerators:
[tex]f=-\frac{7}{2} -\frac{1}{4} \\\\f=-\frac{7*2}{2*2} -\frac{1}{4} \\\\f=-\frac{14}{4}-\frac{1}{4} \\\\f=\frac{-14-1}{4} \\\\f=-\frac{15}{4}[/tex]
Hope this helped!
En la tira están escritos los números de 1 a 40. Corta la tira en pedazos, de tal forma gue en cada uno de ellos queden a lo más dos números primos , Icośntos contes hiciste
Se debe realizar 6 cortes sobre la tira.
Una Tira es una pieza de papel cuya longitud es mucho mayor que su anchura. Un Número Primo es un Número Natural que solo es divisible por 1 y por sí mismo, mientras que un Número Compuesto se compone de Números Primos y es divisible además por otros números, tanto Primos como Compuestos.
Realizamos el ejercicio siguiendo las siguientes consideraciones:
1) Escribimos los primeros 40 Números Naturales en orden ascendente.
2) El primer número del primer segmento de tira es el 1 y contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.
3) El resto de segmentos de tira comienza con un Número Primo, contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.
Los números primos entre 1 y 40 son 3, 5, 7, 11, 13, 17, 19, 21, 23, 29, 31, 33, 37.
Los segmentos de tira son los siguientes:
1) 1, 2, 3, 4 (1 número primo)
2) 5, 6, 7, 8, 9, 10 (2 números primos)
3) 11, 12, 13, 14, 15, 16 (2 números primos)
4) 17, 18, 19, 20 (2 números primos)
5) 21, 22, 23, 24, 25, 26, 27,28 (2 números primos)
6) 29, 30, 31, 32 (2 números primos)
7) 33, 34, 35, 36, 37, 38, 39, 40 (2 números primos)
El número de cortes ([tex]n[/tex]) se determina mediante la siguiente fórmula:
[tex]n = s - 1[/tex] (1)
Donde [tex]s[/tex] es el número de segmentos de tiras.
Si sabemos que hay 7 segmentos de tiras, entonces se debe realizar 6 cortes.
Preguntas relacionadas: https://brainly.com/question/1885560
Is Statistics mathematics or science? Defend your answer.
Statistics is related to maths because we study, use and even consider statistic problems with reference to mathematics.
• It is mostly used to find the census, which is maths.
• It is used to find interest rates and other banking terms using statistics, which is again related to math.
• It is also used to find the average people living in a village or panchayat, which is also math.
Therefore I strongly believe that Statistics is Maths.
Thank You!
Use the graph of the parabola to identify the domain and range of the function.
Answer:
C
Domain (-x,x): (-inf, inf)
Range (-y,y): [1, 0)
Step-by-step explanation:
Domain is -x to x which is the lowest x value marked to the parabola to the highest. Since their are arrows indicating that the parabola continues both ways, the domain is infinite both ways. The range has the endpoint of one and the continuation of 0 (you can tell by the brackets [], (), [), or (]; [ <- endpoint; ( or ) <- continuation), the range is [1, 0). :)
look at the image below
Answer:
288 cubic ft look at explanation, please give me a thanks if this answer helped!
Step-by-step explanation:
The volume of a pyramid is equal to to 1/3 bh
so first you would find the base which is the rectangle at the bottom
Base= 9 x 8= 72
height has already been given- 12
now your equation is 12 x 1/3 x 72
you can simplify 12 and 1/3 to 4
so now you would have 72 times 4
which is 288
A welding drawing shows that the weld-root reinforcement cannot exceed
" in thickness. Your weld measurement tools are metric, so this value needs to be converted to millimeters. You know that one inch equals 2.54 centimeters. What is the maximum weld-root reinforcement allowed in millimeters? Round your answer to the nearest tenth of a millimeter.
Answer:
3.2 millimeters
Step-by-step explanation:
1/8*2.54 *10 = 3.175
= 3.2 millimeter. (rounded to nearest tenth)
Can someone help me ASAP!!!?
Answer:
√x-x-2x³+√x+x
= 2√x-2x³
= -2x³+2√x
which is option A
even though the elimination method is easy I still have trouble with it
Answer:
(1,2)
Step-by-step explanation:
x+4y = 9
2x -4y= -6
Add the equations together
x+4y = 9
2x -4y= -6
-------------------
3x +0y = 3
3x=3
Divide by 3
3x/3 = 3/3
x=1
Now find y
x+4y = 9
1 +4y =9
Subtract 1 from each side
4y = 8
Divide by 4
4y/4 = 8/4
y =2
Suppose we flip two fair coins. Let X be the random variable that indicates the number of heads that come up. Let Y be the random variable that indicates the number of tails that come up. Show that X and Y are not independent.
Answer:
I doubt it is not going to be a great day of school
nine times a number
Answer:
if we do 9 times a number that will be
9x
Answer:
9x
Step-by-step explanation:
9 times a number (a variable) = 9x
Please help solve this question
95141 1404 393
Answer:
arc BC: 8.55 cmchord BC: 8.03 cmStep-by-step explanation:
The length of an arc that subtends central angle α will be ...
s = rα . . . . where α is in radians
The central angle BOC is twice the measure of angle QBC, so is 70°, or 7π/18 radians. So, the length of arc BC is ...
s = (7 cm)(7π/18) ≈ 8.55 cm . . . arc BC
__
For central angle α and radius r, the chord subtending the arc is ...
c = 2r·sin(α/2)
c = 2(7 cm)sin(35°) ≈ 8.03 cm . . . . chord AB
The bike you have been saving for is discounted 15%. You have $600 saved to purchase it. The original, non-discounted price of the bike is $650. There is a 5.58% sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar.
Answer:
16.67 or 17 when rounded to nearest dollar
Step-by-step explanation:
$650 x .85 (100%-15% discount) = 552.50 cost of bike on sale
552.50 x 1.0558 (100% + 5.58% tax) = 583.33 cost with tax added.
$600 - 583.33 = $16.67 money left over
help pls! I need the answer quickly and pls explain. thank you!
Answer:
h = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The given is the special right triangle with angle measures : 90-60-30
and the side lengths for the given angles are represented by :
2a-a[tex]\sqrt{3}[/tex]-a
the side length that sees 60 degrees is represented by a[tex]\sqrt{3}[/tex] (h in this case)
the area of a triangle is calculated by multiplying height and base and that is divided by 2
a[tex]\sqrt{3}[/tex]*a/2 = 18[tex]\sqrt{3}[/tex] multiply both sides by 2
a^2[tex]\sqrt{3}[/tex] = 36[tex]\sqrt{3}[/tex] divide both sides by [tex]\sqrt{3}[/tex]
a^2 = 36 find the roots for both sides
a = 6
since h sees angle measure 60 and is represented by a[tex]\sqrt{3}[/tex]
h = 6[tex]\sqrt{3}[/tex]
Create a linear function rule that has a slope of –2 and a solution at (–5, 16)
Answer:
2x+y-16=0
Step-by-step explanation:
using point slope form.
The linear function rule that has a slope of –2 and a solution at (–5, 16) will be y = –2x + 6.
What is the equation of line?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The slope of the line is negative 2. Then the equation of the line will be
y = –2x + c
And the solution of the line is (–5, 16).
Then this point will satisfy the equation of the line.
Then the value of c will be
16 = –2(–5) + c
16 = 10 + c
c = 16 – 10
c = 6
Substitute the value of c in the equation of line.
Then the equation of line will be
y = –2x + 6
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kaiden and her brother both open savings accounts. each begin with a balance of zero dollars. for every two dollars that kaiden saves in her account, her brother saves five dollars. if kaiden saves 300 dollars how much did her brother save
The ratio is 2:5
Kaiden saves=300$Let her brother saves xATQ
[tex]\\ \sf\longmapsto \dfrac{300}{x}=\dfrac{2}{5}[/tex]
[tex]\\ \sf\longmapsto 2x=300(5)[/tex]
[tex]\\ \sf\longmapsto 2x=1500[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{1500}{2}[/tex]
[tex]\\ \sf\longmapsto x=750\$[/tex]
The sentence "the length of a rectangle is 6 feet more than the width" can be translated as / = 6 + w.
O False
0 True
Answer:
true
Step-by-step explanation:
if the width is w and the length is l then 6 more than the width is w+6 and that is equal to the length so l = w+6
[10pts] make u the brainliest if u want (BUT only for correct answers
Answer:
[tex]i)36\\ii)7[/tex]
Step-by-step explanation:
[tex]i) As\ our\ first\ expression,\ we\ have:\\ab^2\\Substituting\ a=4, b=-3:\\ab^2=4*(-3)^2=4*-3*-3=4*9=36\\ii)Next,\ we\ have:\\(a-b)(a+b)\\Hence,\\Substituting\ a=4,\ b=-3:\\(a-b)(a+b)=(4-3)(4+3)=1*7=7\\Note:\\You\ can\ also\ use\ the\ algebraic\ identity: (a+b)(a-b)=a^2-b^2[/tex]
Answer:
Given that, a = 4 and b = -3
Now,
i) ab² = (4)(-3)² = (4)(9) = 36ii) (a-b)(a+b) = (a²-b²) = {(4)²-(-3)²} = (16-9) = 7a man spends RS 608 a month. If he earns Rs 640, what percentage of his invome does he save??.
Please explanation
Answer:
5%
Step-by-step explanation:
given,
Earns= Rs 640
spends= Rs 608
saves= (Rs 640 - Rs 608)
=Rs 32
therefore, 32/640x100
answer = 5%
Answer From Gauth Math
Answer:
5%
Step-by-step explanation:
save=640-608=32
(32/640)*100%
5%
Prove that: sec⁴B - sec²B = tan⁴B + tan²B.
Step-by-step explanation:
sec⁴B - sec²B = sec²B(sec²B - 1)
= (1 + tan²B)(tan²B)
= tan⁴B + tan²B
= Right-hand side (Proven)
41 is 163 added to y
(How can I write this as an equation)
I was thinking it’s
163 + y = 41
Answer:
y + 163 = 41
Step-by-step explanation:
I think you are correct. It should be y + 163 = 41
please explain it step by step
