Answers
Answer:
b= sin(43°) * 8 / sin(55°) ≈ 6.7
Step-by-step explanation:
Regarding the law of sines, each angle corresponds to the side opposite of it. Here, that means that the 82 degree angle is opposite of side c (so they correspond) and that the 55 degree angle corresponds to the side with 8cm. However, we are trying to find the length of side b. Therefore, assuming that the side with 8cm is side A, if we know that
sin A / a = sinB/b = sin C / C
= sin(55°)/8 = sinB/b = sin(82°) / c, we can take c out of the equation to get
sin(55°)/8 = sinB/b
If we know sinB, we can multiply both sides by 8 to remove a denominator to get
sin(55°) * b / 8 = sinB
multiply both sides by 8 to remove the other denominator to get
sin(55°) * b = sinB * 8
divide both sides by sin(55°) to isolate the b
b = sinB * 8/sin(55°).
Therefore, if we know sinB, we can figure out the length of b.
Because the angles of a triangle add up to 180 degrees, we can say that
180 = 82 + 55 + angle B
180 = 137 + B
subtract both sides by 137 to isolate B
43 = B
b= sin(43°) * 8 / sin(55°) ≈ 6.7
Related Questions
If x > 0 and y > 0, where is the
point (x, y) located?
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section
PLEASE HELP!! name the property of equality that the statement illustrates:
if x = y , then -2x = -2y
Answers
The multiplication property of equality states that if [tex]x=y[/tex] is true, then [tex]xz=yz[/tex] must also be true.
The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the: Multiplication Property of Equality.
How to Identify the Property of Equality?The properties of equality describe the relation between the two sides of an equation and state that the two sides remain equal even after applying the same arithmetic operation on each side.
The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the Multiplication Property of Equality.
This property states that if you multiply both sides of an equation by the same nonzero number, the equality still holds true.
In this question, both sides of the equation are multiplied by -2, maintaining the equality between the expressions.
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i believe X=4, but i could be wrong with the whole thing
Answers
Answer:
A. x = 4
B. RQ = 6
C. 48 square units
Step-by-step explanation:
A. 3x - 2 = 10
3x = 12
x = 12/3
B. a^2 + b^2 = c^2
8^2 + b^2 = 10^2
64 + b^2 = 100
b = sqrt (100 - 64
b = 6
C. Area of a triangle = (b*h)/2
b = (2)(6) = 12
Area = (12 * 8)/2 = 48 square units
Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)
Answers
The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
From the graph, we have the following highlights
The graph crosses the x-axis at x = -1 and x = 3The graph touches the x-axis at x = -2The above highlights mean that:
The function has a multiplicity of 1 at x = -1 and x = 3The function has a multiplicity of 2 at x = -2So, the function of the polynomial is:
[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]
Assume a = 1.
So, we have:
[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]
Multiply
[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]
Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
Read more about polynomial graphs at:
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can someone please help me, i need the help?
Answers
Answer:
[tex]f(x)\div g(x)=x-10[/tex]
Step-by-step explanation:
[tex]\frac{x^2-19x+90}{x-9}[/tex]
[tex]\frac{(x-10)(x-9)}{x-9}[/tex]
[tex]x-10[/tex]
Answer:
[tex]f(x)\div g(x)=-10[/tex]
Step-by-step explanation:
Solve [tex]f(x)[/tex]
[tex]f(x)=x^2-19x+90[/tex]
[tex]x^2-19x+90[/tex]
[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]
[tex]\left(x^2-9x\right)+\left(-10x+90\right)[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-9x[/tex]
[tex]=x(x-9)[/tex]
[tex]\mathrm{Factor\:out\:-10\;from}\:\:-10x+90[/tex]
[tex]=-10(x-9)[/tex]
[tex]=x\left(x-9\right)-10\left(x-9\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x-9[/tex]
[tex]\bold{\left(x-9\right)\left(x-10\right)}[/tex]
Solve [tex]g(x)[/tex]
[tex]g(x)=x-9[/tex]
[tex]\bold{x-9}[/tex]
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
Now, solve:
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
[tex]=\frac{(x-9)\left(x-10)}{:x-9}[/tex]
[tex]= -10[/tex]
Therefore, [tex]f(x)\div g(x)=-10[/tex]
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = -2x + 30
B. y = 2x + 30
C. y = -2x - 30
D. y = 2x - 30
Answers
From the computation done, the linear equation that represents the information given will be A. y = -2x + 30.
From the information given, we're told that Yuson must complete 30 hours of community service and that she does 2 hours each day.
Therefore, the linear equation that represents the hours Yuson has left after x days will be represented thus:
y = 30 - (2 × x)
y = 30 - 2x
y = -2x + 30
Learn more about equations on:
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can someone answer this
Answers
Answer: The equation is not an identity
==========================================================
Explanation:
We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.
I'll use c = a+b as a way to help distribute.
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]
Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.
----------------
Here's another way you can see that we don't have an identity.
Let's say we fixed 'a' to be equal to 1.
That means the equation
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]
would turn into
[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]
and simplify to
[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]
Now replace b with x and you'll have the two equations to represent the left and right hand sides
[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]
which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.
Side note: you can pick other values for 'a' instead of just 1.
The number of blogs has grown rapidly. Assuming that two new blogs are created each second,
how many blogs will be set up in one month (30 days)?
O 5.27 x 105
O 6.17 x 105
O 5.27 x 106
O 6.17 x 106
Answers
Please mark it as brainlest answer:).
There are 135 people in a sport centre.
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 people use all three facilities.
Given that a randomly selected person uses at least two facilities, what is the probability they use all the facilities?
Answers
Of 103 people that are considered to use two facilities, only 14 use all three. In this case, we must make a percentage of this information.
This is roughly 14.5%, meaning there is only a 14.5% chance someone will use all three facilities if they are known to use two.
The probability that a randomly selected person uses at least two facilities is 103/135 and the probability that the selected people uses all the three facilities is 14/103.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
The number of people using the facilities are
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 people use all three facilities.
The total people using two facilities is = (36+32+35 ) = 103
Total number of people is 135
The probability that a randomly selected person uses at least two facilities is 103/135.
The probability that the selected people uses all the three facilities is 14/103.
To know more about Probability
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The sum of two integers is 2. Their difference is 10. What are the two integers?
Answers
Answer:
6 and -4
Step-by-step explanation:
a + b = 2
a - b = 10
Solve:
from the first eq.
a = 2 - b
replacing this value in the second eq.
(2-b) - b = 10
2 - 2b = 10
-2b = 10 - 2
-2b = 8
b = 8/-2
b = -4
from the second eq.
a - b = 10
a - (-4) = 10
a + 4 = 10
a = 10 - 4
a = 6
Check:
from the first eq.
6 + (-4) = 2
6 - 4 = 2
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
A.4/5
B.1/2
C.2/5
D.1/4
Answers
Answer:
A.) 4/5
Step-by-step explanation:
Another fraction that's not on there that is correct is 8/10
find the vertices of the image after the given transformation (x,y)—> (2x, 1/3y)
Answers
Answer:
Step-by-step explanation:
A( - 1 , - 3 ) ------> A' ( - 2 , - 1 )
B( 4 , - 3 ) ------> B' ( 8 , - 1 )
C( 4 , 3 ) ------> C' ( 8 , 1 )
D ( - 1 , 3 ) ------> D' ( - 2 , 1 )
Marvin sells prawns at $12 per kg. How much money will Marvin receive from selling 30 kg of prawns?
Answers
Answer: Start off and multiply 12x30=360
Step-by-step explanation: He will recieve 360$
A doughnut company finds that its sales are
boosted by advertising according to the
600d
relationship S(d) = where S and d
10+ 0
represent sales and advertising, respectively,
in thousands of dollars. Calculate another
expression for S(d) by performing the
division shown.
Answers
Answer:
Hey will you marry me? serious question
simple: get the Equation
Answers
Answer:
y=10x+10
Step-by-step explanation:
The price of a notebook in 2012 is $2000. In 2013, its value decreased by 30%. In 2014, its value decreased by 30% of its value in 2013. Find the value of the notebook at the end of 2013
Answers
Answer:
The value of the notebook at the end of 2013 is $980
Step-by-step explanation:
First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.
30% ⇒ 0.30
Now multiply 0.30 by 2,000 to find 30% of 2,000.
2,000 × 0.30 = 600
Subtract 600 from 2,000 to find the price of the notebook in 2013.
2,000 - 600 = 1,400
Now find 30% of 1,400 using the same process.
1,400 × 0.30 = 420
Subtract 420 from 1,400 to find the price of the notebook in 2014.
1,400 - 420 = 980
May I please receive help?
Answers
Answer:
um
Step-by-step explanation:
Determina el lado faltante de cada triángulo presentado emplea dos cifras decimales
Answers
Listamos los lados faltantes a continuación:
[tex]c \approx \sqrt{34}\,cm[/tex] [tex]z \approx 5.098\,cm[/tex] [tex]p = 5\,cm[/tex] [tex]l\approx 3.680\,cm[/tex]El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:
[tex]c^{2} = a^{2}+b^{2}[/tex] (1)
La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.
A continuación, procedemos a resolver cada caso:
1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]
[tex]c = \sqrt{a^{2}+b^{2}}[/tex]
[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]
[tex]c \approx \sqrt{34}\,cm[/tex]
2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]
[tex]z = \sqrt{x^{2}-y^{2}}[/tex]
[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]
[tex]z \approx 5.098\,cm[/tex]
3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]
[tex]p = \sqrt{n^{2}-m^{2}}[/tex]
[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]
[tex]p = 5\,cm[/tex]
4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]
[tex]l = \sqrt{m^{2}+s^{2}}[/tex]
[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]
[tex]l\approx 3.680\,cm[/tex]
Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 20 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
25:1
2:1
3:1
4:1
Answers
Answer:
4:1
Step-by-step explanation:
Answer:
edge of cube = 20 cm
volume of cube = 20x20x20
volume of each small cube = 5x5x5
number of cubes
= (20x20x20)/(5x5x5)
=64
Step-by-step explanation:
I believe that is the answer im sorry in advanced if its not.
(2x+1)(3x+1)=35 using quandratic equation solve
Answers
Answer:
x = {-2 5/6, +2}
Step-by-step explanation:
To use the quadratic formula, it is helpful to write the equation in standard form.
(2x +1)(3x +1) = 35
6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34
The quadratic formula tells you the values of x are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]
While driving to Aunt Pat’s house we filled up our tank of gas. We traveled 2/5 of the way. How much further do we have to travel?
Answers
Answer:
3/5
Step-by-step explanation:
(-4+2)•(-5+3)/-3 please help
Answers
Answer:
-4/3
Step-by-step explanation:
(-4 + 2) • (-5 + 3)/-3
=> -2 • (-2)/-3
=> -2 • 2/3
=> -4/3
Therefore, -4/3 is your answer.
Hoped this helped.
Answer:
The answer is -4/3.
Step-by-step explanation:
(-4+2) = -2
x (-5+3) = -2
-2 x -2 = 4.
=-4/3
24a - 12b HELP Me PLZ
Answers
Could someone please solve this compound inequality?
Answers
[tex]\large\mathcal\red{Answer✓}[/tex]
Ans :- E...
I'm gonna go with answer choice B
The range of this function
Answers
Answer: C
Step-by-step explanation: The range of a function is all the outputs, or in this case all the values on the right side of the function. Therefore, we just look at what numbers are there and we find the range
Josiah is buying a Christmas present for his mom. He has $24 in his saving account but needs $60 to buy the present he has in mind. Josiah works a job where he earns $9per hour. If h equals number of hours, write an equation that would help determine how many hours Josiah has to work in order to buy the present.
Answers
Answer:
Step-by-step explanation:
9h + 24 = 60
Rewrite using a single positive exponent..-
7^2
——
7^-4
Answers
Answer:
7 ^2 ⋅ 7 ^4 = 49^6
Step-by-step explanation:
7² / 7 ⁻⁴
= 7²⁻⁽⁻⁴⁾
= 7 ⁽²⁺⁴⁾
= 7⁶
= 117649
Remember :-
xᵃ / xᵇ = xᵃ⁻ᵇ
___
Hope it helps ⚜
⁽
If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was spent on television advertising in the previous year? Round your answer to one decimal.
Answers
Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.
$x, in billions, was spent on advertising expenditures on television last year.This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.This year spending's is of 141.7 billion, hence, the equation is:
[tex]0.959x = 141.7[/tex]
[tex]x = \frac{141.7}{0.959}[/tex]
[tex]x = 147.8[/tex]
$147.8 billion was spent on television advertising in the previous year.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Write in point-slope form an equation of the line that passes through the
point (5, 9) with slope 7.
Answers
Answer:
y = 7x -26
Step-by-step explanation:
[tex]y-9=7(x-5)[/tex]
[tex]y=7x-35+9[/tex]
[tex]y=7x-26[/tex]
Hope this helps
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?
(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)
Answers
384 +37289 x 638203
then you will get the calculation
Answer:
its option c i believe
