trigonometric equations
2sin(theta) + 3 = 4
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) + 3 = 4[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = 4 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = 1[/tex]
[tex]\qquad \sf \dashrightarrow \:\sin(x) = \frac{1}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 30 \degree \: \: or \: \: \frac{\pi}{6} \: rad[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
3w-v4w3 I just need the answer please
Answer:
7(3/bc)c
Step-by-step explanation:
3/bc+c+7
(3/bc)c+7
7(3/bc)c
Unit 10: Circles Homework 4: Inscribed Angles
Find each angle measure
Answer:
6. ∠GHJ ≅ ∠GIJ = 73°
10. ∠Q = 89°, ∠R = 123°, ∠S = 91°
Step-by-step explanation:
The relations applicable to these problems are ...
the measure of an inscribed angle is half the measure of the intercepted arcthe sum of the arc measures in a circle is 360°Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.
__
6.The missing arc measure GJ is ...
68° +31° +115° +GJ = 360°
GJ = 360° -214° = 146°
Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...
∠GHJ ≅ ∠GIJ = 146°/2 = 73°
__
8.∠Q intercepts arc PSR, which is shown as ...
arc PSR = arc PS +arc SR
arc PSR = 137° +41° = 178°
The measure of angle Q is half this:
∠Q = (1/2)×arc PSR = 178°/2 = 89°
__
∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:
∠R = 180° -57° = 123°
__
∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:
∠S = 180° -89° = 91°
Could anyone help me on this?
Answer:
117
Step-by-step explanation:
we should subtract 63 from 180
so 180 - 63 = 117°
Write this ratio as a fraction in simplest form without any units six weeks to 18 days
Answer:
7/3
Step-by-step explanation:
To write the ratio with no units. we need to have both parts of the ratio in the same units. That way the units cancel.
__
6 weeks : 18 days = (6×7) days : (6×3) days = 7 : 3
The ratio as a fraction is ...
(6 weeks)/(18 days) = 7/3
SECTION (A) (Answer ALL questions) a) Iff:R → R is defined by f(x) = x2 +3, find the function g such that (fog)(x) =9x2 – 12x+7.
Answer:
g(x)=3x--2
Step-by-step explanation:
please mark me as brainlest
help pls i really need help
Answer:
See belowStep-by-step explanation:
We see the segment of length of 3 is divided by 3 and each of units divided by 4.
The number of purple rectangles is 12.
This can be expressed as:
Number of fourths in 3, this is same as 123 ÷ 1/4 = 12, same as aboveThe other options are not matching this model. They all end up with part of the line segment.
Three of them result in 3/4 and one results in 4.
The volume of a sphere whose diameter is 18 centimeters is _ cubic centimeters. If it’s diameter we’re reduced by half, it’s volume would be _ of its original volume
First Part
Given that
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
We have that
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{Diameter}{2})^{3} = \frac{4}{3} \pi 9^{3} = 972\pi cm^{3} \approx 3053.63 cm^{3}[/tex]
Second Part
Given that
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
If the Diameter were reduced by half we have that
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{r}{2}) ^{3} = \frac{\frac{4}{3} \pi r^{3}}{8}[/tex]
This shows that the volume would be [tex]\frac{1}{8}[/tex] of its original volume
Step-by-step explanation:First Part
Gather Information
[tex]Diameter = 18cm[/tex]
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
Calculate Radius from Diameter
[tex]Radius = \frac{Diameter}{2} = \frac{18}{2} = 9[/tex]
Use the Radius on the Volume formula
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 9^{3}[/tex]
Before starting any calculation, we try to simplify everything we can by expanding the exponent and then factoring one of the 9s
[tex]Volume = \frac{4}{3} \pi 9^{3} = \frac{4}{3} \pi 9 * 9 * 9 = \frac{4}{3} \pi 9 * 9 * 3 * 3[/tex]
We can see now that one of the 3s can be already divided by the 3 in the denominator
[tex]Volume = \frac{4}{3} \pi 9 * 9 * 3 * 3 = 4 \pi 9 * 9 * 3[/tex]
Finally, since we can't simplify anymore we just calculate it's volume
[tex]Volume = 4 \pi 9 * 9 * 3 = 12 \pi * 9 * 9 = 12 * 81 \pi = 972 \pi cm^{3}[/tex]
[tex]Volume \approx 3053.63 cm^{3}[/tex]
Second Part
Understanding how the Diameter reduced by half would change the Radius
[tex]Radius =\frac{Diameter}{2}\\\\If \\\\Diameter = \frac{Diameter}{2}\\\\Then\\\\Radius = \frac{\frac{Diameter}{2} }{2} = \frac{\frac{Diameter}{2}}{\frac{2}{1}} = \frac{Diameter}{2} * \frac{1}{2} = \frac{Diameter}{4}[/tex]
Understanding how the Radius now changes the Volume
[tex]Volume = \frac{4}{3}\pi r^{3}[/tex]
With the original Diameter, we have that
[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{2}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{2^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{2 * 2 * 2} = \frac{4}{3}\pi \frac{Diameter^{3}}{8}\\\\[/tex]
If the Diameter were reduced by half, we have that
[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{4}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{4^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 4 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 2 * 2 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{8 * 8} = \frac{\frac{4}{3}\pi\frac{Diameter^{3}}{8}}{8}[/tex]
But we can see that the numerator is exactly the original Volume!
This shows us that the Volume would be [tex]\frac{1}{8}[/tex] of the original Volume if the Diameter were reduced by half.
f(1)=15
f(n)=f(n-1)·n
f(2)=?
Answer:
is f(2)=13 this is the answer because You have to división ir multiplicar ir
Answer:
f(2)=30
Step-by-step explanation:
Khan <3
If the whale drawing is 5 cm long, find the scale for the drawing.
Answer:
Scale (and/or) Scale Factor = 91.44
Step-by-step explanation:
First convert 15ft to cm
15ft = 457.2cm
Now divide the real whale size by the drawing
457.2 / 5 = 91.44
So the scale is 91.44
The whale is 91.44 times bigger than the drawing
If the circle has a diameter of 6 feet about how long is the chalk outline
Answer:
Find the circumference,
C = 2πr
Where 'π' is pi (3.14 or 22/70, and 'r' is the radius.
To find the radius of a diameter, you must the half of the diameter:
Diameter/2 = radius
6/2 = 3 is the radius.
Plug this into our formula;
C = 2πr
C = 2 x 3.14 x 3
C = 6.28 x 3
C = 18.84 feet.
A car is on a Ferris wheel with a radius of 20 ft. To the nearest foot, how far does the car travel over an angle of
π
3
radians?
The car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet.
In order to determine the distance that the car has travelled, we will use the formula for calculating the circumference of a circle.
How to calculate Circumference of a circleC = 2πr
where
r = radius
Therefore,
r is the radius of the fairy wheel
r = 20 ft
C = 2 × 3.14 × 20
C = 40 × 3.14
C = 125.6 ft
This shows that the car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet
learn more on circumference here: https://brainly.com/question/23385261
En un estadio 6/8 de los asistentes son mayores edad y de estos 2/4 son mujeres ¿que fraccion de los asistentes mayores de edad son mujeres?
Answer: 3/8
Step-by-step explanation: 6/8 x 2/4 = 3/8
The fraction of attendees of legal age who are women are 3/8
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have in a stadium, 6/8 of the attendees are older and of these 2/4 are women.
The fraction of attendees of legal age who are women are -
2/4 of 6/8
2/4 x 6/8
12/32
3/8
Therefore, the fraction of attendees of legal age who are women are 3/8
To solve more questions on equation modelling, visit the link below-
brainly.com/question/9144182
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[English translation of question -
In a stadium, 6/8 of the attendees are older and of these 2/4 are women, what fraction of the attendees of legal age are women?
Spanish translation of answer -
Tenemos en un estadio, 6/8 de los asistentes son mayores y de estos 2/4 son mujeres.
La fracción de asistentes mayores de edad que son mujeres son:
2/4 de 6/8
2/4 x 6/8
32/12
3/8
Por tanto, la fracción de asistentes mayores de edad que son mujeres son 3/8
]Determine f”(1) for the function f(x)=(3x^2-5x^2)^2.
Answer: 48
Step-by-step explanation:
Is the table linear or exponential?
Answer:
this table is linear
Step-by-step explanation:
there is a difference of 4 each time
Answer:
linear
Step-by-step explanation:
the difference in x and y values is constant
529 as a desmil number
Answer:
529.000
Step-by-step explanation:
A decimal number is a number whose whole number and fraction part are separated by a decimal point.
529 represented as a decimal is 529.000
Also, you can add as many zeros as you want behind the decimal point.
Please pick as brainliest!
F(x)=4x^2 and g(x)=x+1, find (f x g)(x)
Answer:
option b
Step-by-step explanation:
It is option b
Your answer is 4(x+1)²
Answer:
B
Step-by-step explanation:
Given functions:
[tex]f(x)=4x^2[/tex][tex]g(x)=x+1[/tex][tex](f \circ g)(x) & =f[g(x)][/tex]
This means substitute the x of f(x) with the function g(x).
[tex]\implies f[g(x)]=4(x+1)^2[/tex]
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3/4x+1/3=1/2x+5
2
3
6
12
Answer:
12 because it is a common factor of the denominators
Answer:
178
Step-by-step explanation:
Each 14 inch on a map represents an actual length of 18 of a mile.
What length on the map represents 1 mile?
132 inch
38 inches
2 inches
4 inches
Answer:
38 inch
Step-by-step explanation:
Suppose a = 16 and b = 20. what is c
An artist has a block of wood that weighs 62.7 ounces. She wants to carve it into a wooden bear to enter in a contest. The rules allow sculptures that weigh up to 45 ounces. Complete and solve an equation to find out how much wood she needs to remove from the block to reach the weight limit.
Answer:
17.7
Step-by-step explanation:
62.7-45=
17.7
yeah sculpting bears are hard
What are the x-intercepts of this conic section?
no x-intercepts
(0, −3) and (0, 3)
(−5, 0) and (5, 0)
(−3, 0) and (3, 0)
Answer:
D. (-3, 0) (3, 0)
Step-by-step explanation:
An x-intercept is means when the line/shape crosses the x axis, or when y=0
So in this case, we can see that the shape crosses the x axis when
x = -3 and 3
So to put it in coordinate form (x, y)
It is: (-3, 0) and (3, 0)
(Whenever it crosses the x-axis, the y coordinate will always be 0)
Find the area of the triangle.
Answer:
14 m²
Step-by-step explanation:
14m² is ur answer
If u need solution do let me know in the comments
Tomas used 3 and one-third cups of flour and now has 1 and two-thirds cups left. Which equation can he use to find f, the number of cups of flour he had to begin with?
f + 3 and one-third = 1 and two-thirds
f minus 3 and one-third = 1 and two-thirds
3 and one-third f = 1 and two-thirds
f divided by 3 and one-third = 1 and two-thirds
Answer : B
Explanation :
f - 3 and one third = 1 and two thirds goes with the word problem.
Answer: B
f - 3 and one third = 1 and two thirds
Question 2 of 10
Classify the following triangle. Check all that apply.
9
11.4
I A. Right
B. Obtuse
C. Isosceles
DD. Acute
O E. Scalene
OF Equilateral
SUBMIT
Hello, it seems your questions didn't upload correctly. Are you able to resend it?
The aspect ratio of the television screen is 16:9 and it is 63cm High. What is its width?
Adult tickets for an art exhibit cost $15. Tickets for students cost $8.
Martin has $180 to buy 2 adult tickets and 20 student tickets.
Martin says he has enough money to buy all of the tickets because $8 × 20 = $160 and $160 is less than $180.
Critique Martin's reasoning. Which statements are correct? Choose all that apply.
A.
Martin correctly found the total cost of the tickets.
B.
Martin did not include the cost of the adult tickets.
C.
The cost of the two adult tickets is $15.
D.
Martin correctly concludes that he has enough money to buy all of the tickets.
E.
The total cost is $190, so Martin does not have enough money.
Answer:
The correct answers are B & E
Step-by-step explanation:
The cost of adult tickets: 15$ * 2= 30$
The cost of student tickets: 8$ * 20= 160$
=> All the tickets cost 30$ + 160$= 190$
=> Martin still needs 10$ more to buy all of the tickets
A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price,p, it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $11, while 2000 shirts can be sold at a price of $2. Give a linear equation in the form p mn + b that gives the price p they can charge for n shirts. Answer: p = Round the value of your slope to three decimal places. Be careful to use the proper variable and use the Preview button to check your syntax before you submit your answer.
The required linear equation in the form p = mn + b is y = -0.009n + 20
Linear form of a functionThe formula for calculating the linear form of a function is expressed as:
y = mx + b
From the given question
n is the number of shirts p is the priceThe price and number of shirts can be written in the form (n, p)
The two coordinates required are (1000, 11) and (2000, 2)
Slope = 2-11/2000-1000
Slope = -9/1000
Slope = -0.009
For the intercept "b"
2 = -0.009(2000) + b
b = 20
The required linear equation in the form p = mn + b is y = -0.009n + 20
Learn more on linear function here: https://brainly.com/question/15602982
Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0, 0).
Answer:
[tex]\frac{x^2}{25} + \frac{y^2}{16} = 1[/tex]
Step-by-step explanation:
Great, so the question already tells you that you're using the standard form of an ellipse. All you gotta do is apply your knowledge of the characteristics of an ellipse graph.
The standard form of an ellipse is:
[tex]1 = \frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}[/tex]
[tex]h[/tex] and [tex]k[/tex] are the offset, or the coordinates of the center of the ellipse. The center of the ellipse will always be on (h,k). Now because the question says the center is (0,0), we can make h and k equal to 0 in the equation giving:
[tex]1 = \frac{x^2}{a^2} + \frac{y^2}{b^2}[/tex].
Now, the height of the ellipse will always be equal to 2a. The width will be equal to 2b.
Since we are told what the height and width should be, we can find the a and b values quite easily using algebra.
So first, height:
[tex]10 = 2a\\5 = a[/tex]
Now width:
[tex]8 = 2b\\4 = b[/tex]
Subbing for a and b in the equation give you:
[tex]1 = \frac{x^2}{5^2} + \frac{y^2}{4^2}\\=\\1 = \frac{x^2}{25} + \frac{y^2}{16}[/tex]
The measure of an angle is 74.4°. What is the measure of its complementary angle?
Answer:
15.6
Step-by-step explanation:
complementary angles sum up to 90
90-74.4=15.6
therefore the measure of it's complementary angle is 15.6