Answers
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]5\sin(2x)=3\cos(x)[/tex]
To do so, we can rewrite the equation.
Recall the double-angle identity for sine:
[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]
By substitution:
[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]
Distribute:
[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]
We can subtract 3cos(x) from both sides:
[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]
And factor:
[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
A. cosx(10sinx-3)=0
Step-by-step explanation:
5(2sinxcosx)=3cosx
10sinxcosx-3cosx=0
cosx(10sinx-3)=0
Related Questions
Question:
Simplify. √(36)²
Answers
Answer:
36
Step-by-step explanation:
sqrt(36)^2
36
I hope this helps
During the Falcons game, Julio Jones ran a straight route 40 yards up the sideline before turning around and catching a pass from Matt Ryan. Defender, Malcolm Butler, who started 20 yards across the field from Jones, saw the play setup and ran horizontally toward the receiver. What was the distance the defender had to run to get to the spot where Jones caught the ball? (PLS DONT GIVE WEBSITE PLS JUST ANSWER)
Answers
Answer:
its 20 because he ran 20 from jones
You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the total prrcentage discounted?
Answers
hbngfthjhuiuttyui
Step-by-step explanation:
yiutujhyyiiyttthhuijc
Anya bought some cans of paint. She used 9 of them to
paint the house and had 23 left. Write an equation, that
when solved, will tell how many cans of paint, p, that Anya
bought?
Answers
The periscope of a submarine is at sea level. The boat captain spots an airplane with
an elevation angle of 30°. The airplane is flying at an altitude of 2000 feet.
The straight line distance between the submarine and the airplane is...
Answers
Answer:
The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...
7 pages·477 KB
The straight line distance between the submarine and the airplane is 4000 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the straight line distance between the submarine and the airplane. Hence:
sin(30) = 2000/d
d = 4000 feet
The straight line distance between the submarine and the airplane is 4000 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
what is the area of the composite figure
Answers
Answer:
D) 476 ft²
Step-by-step explanation:
12x14=168
(25+31)/2=28
28x11=308
308+168=476
Find the values of the variable In The figure
Answers
Answer:
A. 18
Step-by-step explanation:
Sum of the measures of all the angles of a quadrilateral is 360°
Therefore,
[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]
what is the range of the following data set?
Answers
Answer: The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109
Answers
Answer:
EF is 109
DAB is 54.5
Step-by-step explanation:
Applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°What is the Central Angle Theorems?The central angle theorem states that:
Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arcThus:
Measure of minor arc EF = m∠ECF = 109°
m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]
m∠DAB = 54.5°
Therefore, applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°Learn more about central angle theorem on:
https://brainly.com/question/5436956
Which graph represents this system? y=5x+3 3 y=zx-1
Answers
Answer:
where's the two graphs
Step-by-step explanation:
where are the two graphs that we need to choose from??
Answer:
[tex]y = 5x + 3[/tex]
[tex]3y = zx - 1[/tex]
Step-by-step explanation:
What’s the volume of 9 cm 6 cm 4 cm
Answers
Answer:
bro tell me the shape
Step-by-step explanation:
eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number
Answers
Answer:
The number is 4
Step-by-step explanation:
Let the number = 'x'
Reciprocal of 'x' = 1/x
Reciprocal of 2 = 1/2
8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]
[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]
Now multiply both sides by x
[tex]8*\frac{1}{x}*x = 2*x\\\\8 = 2x[/tex]
Now divide both sides by 2
[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]
x = 4
The least common multiple of 3, 4, 6, and 8 is
Answers
Answer:
24 is the least common multiple of 3, 4, 6, and 8 is
Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.
Answers
Answer:
a) There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
b) False
Step-by-step explanation:
Statement : ∀a ∈ Z, (a − 1) a is not an integer
A) The correct negation will be :
There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
B) The Given statement is FALSE because
when we assume the value of a = 1
( a - 1 ) / a = (1 - 1 ) / 1 = 0 ; which is an integer
Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)
Answers
Answer:
Step-by-step explanation:
Remark
This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.
Equation
(f - g)x = f(x) - g(x)
Solution
(f - g)x = 9 - x - (3 - x) remove the brackets
(f - g)x = 9 - x - 3 + x
(f - g)x = 6
Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1
Answers
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
The solution to the matrix equation ...
[tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]
is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.
[tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]
Volume by multiplying area of base times height
Answers
Answer:v= x a h add then multiply
Step-by-step explanation:
RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y
Answers
Answer:
y = 4
Step-by-step explanation:
Given that,
RS= 4y+2, ST = 3y+8, and RT = 38
We need to find the value of y.
As,
RT = RS+ST
Put all the values,
38 = 4y+2+3y+8
38-2-8 = 4y+3y
28 = 7y
y = 4
So, the value of y is equal to 4.
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir
Answers
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256
The probability of winning the jackpot is 1/32728332.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).
Total number of white balls = 43
Number of combinations of selecting 5 from 43 = 43C₅
= 43! / (5! × 38!)
= 962598
Total number of gold balls = 34
Number of combinations of selecting 1 from 34 = 34C₁
= 34
Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332
There is only 1 way for which the player wins the jackpot.
Probability of winning the jackpot = 1/32728332
Hence the required probability is 1/32728332.
Learn more about Combinations here :
https://brainly.com/question/13027684
#SPJ2
simplify 14x(7xy^14)(-9x^-7 y^-3)
Answers
Answer:
-882y^11/x^5
Step-by-step explanation:
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answers
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
please help i have been stuck on this for 3 hours
Answers
Answer:
The one you selected is the correct one
Answer:
(5/7) x 56 = 40 is correct
Step-by-step explanation:
How have you been stuck on this for 3 hours
I need this today plz help
Answers
Answer:
the answer is either A or C
Step-by-step explanation:
I'm not sure if it's going from Triangle O to Triangle N
Or if its going from Triangle N to O
C
answer explanation:;
is c
Can someone help me pls
Answers
Answer:
Oops, didn't mean to answer because I already answered this one.
Step-by-step explanation:
The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 1 for the first time they service your lawn, and the price will multiply by a factor of 0.90 every week thereafter. Green Thumbs charges 400 for the first time they service your lawn, and then charges an additional 45 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
Answers
(a) Points and are shown on the number line. Part A Find the distances between points and and between points and . Show your work or explain your answers. Refer to the number lint in your explanation. Enter your answers and your work or explanation in the box provided.
Answers
Step-by-step explanation:
Im donating points thank you
Answer:
do you have a graph? we can't do it unless you have one.
The figure below is a scale drawing of a
rectangular ball room. The scale is 2 cm:4
m.
6 cm.
12 cm.
What is the area of the actual room?
A. 72 m²
B. 144 m2
C. 288 m
D. 576 m
Answers
Answer:
Area of the actual room = 288 m²
Step-by-step explanation:
Given:
Scale factor = 2cm to 4 m
Dimension of rectangle ball room = 6 cm and 12 cm
Find:
Area of the actual room
Computation:
Actual dimension of rectangle ball room;
⇒ [6/2]4 = 12 m
⇒ [12/2]4 = 24 m
Area of rectangle = Length x Width
⇒ Area of the actual room = Actual length x Actual width
⇒ Area of the actual room = 12 x 24
Area of the actual room = 288 m²
Some one help please
Answers
Answer:
subtracting 14 from sides of the number sentence
Step-by-step explanation:
14 + n = 84
Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.
Answer: subtracting 14 from sides of the number sentence
PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
Answers
Answer: 13
Step-by-step explanation: Hope this help :D
How much soup, to the nearest tenth of a cubic unit, can fit in a cylindrical can that is 8 inches tall and has a diameter of 6 inches?
Answers
Answer:
Step-by-step explanation:
