Let StartFraction cosine (2 x) Over cosine (x) + sine (x) EndFraction = 0 where 0° ≤ x ≤ 180°. What are the possible values for x?
a- 45 only
b- 135 only
c- 45 or 225
d- 135 or 315
*NEED HELP ASAP
Answer:
The correct option is;
a- 45° only
Step-by-step explanation:
The given equation can be presented as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]
We have that cos(2·x) = cos²(x) - sin²(x)
Also, we have, by the difference of two squares, the following relation;
cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))
Therefore, the given equation can be written as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]
Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;
[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]
From cos(x) - sin(x) = 0, we have;
Adding sin(x) to both sides of the equation
cos(x) - sin(x) + sin(x) = 0 + sin(x)
cos(x) = sin(x)
Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal
∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°
Answer:
A. 45 only
Step-by-step explanation:
EDGE 2020
Describe a strategy for finding the difference of two temperatures/Answer in complete sentences.
Hello this is my question if you answer correctly you will receive 30 points plus branliest please be mindful and help me solve this question ASP
Answer:
Use google scooby it's easier than this way.
Step-by-step explanation:
Cynthia’s mom gave her $20.00 to spend at her friend’s birthday party on Friday night. Write an inequality that represents the number of games, g, Cynthia can bowl to remain within her budget.
Answer:
will or will not
Step-by-step explanation:
The inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -
gx ≤ 20
What is the general equation of a Straight line inequality? What is inequality? What are strict and slack inequalities.The general equation of a straight line is -
[y] > [m]x + [c]
[y] < [m]x + [c]
[y] ≥ [m]x + [c]
[y] ≤ [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Strict inequalities are those inequalities which use either > or < to compare expressions. Example : 2x + 4 > 5
Slack inequalities are those inequalities which use either ≤ or ≥ to compare expressions. Example : 2x + 4 ≥ 5
We have Cynthia’s mom who gave her $20.00 to spend at her friend’s birthday party on Friday night.
Assume that a single game costs $x. Then, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is-
gx ≤ 20
Therefore, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -
gx ≤ 20
To solve more questions on inequalities, visit the link below-
https://brainly.com/question/14875221
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Combine like terms
7a^2+ 10a - За - 2а2^2
Answer:
5a^2+7a
Step-by-step explanation:
You combine things based off the variable and exponent. So if they have the same variable and exponent, you put them together. 7-2=5 and 10-3=7 so your answer is 5a^2+7a
Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?
Answer:
he payed 34$ for the jacket
Step-by-step explanation:
Which statements are true about the enlargement of triangle ABC to triangle A’B’C’? Check all that apply.
BC < B’C’
A’B’ < AB
B < B’
=
The scale factor for this dilation is less than 1.
C ≅ C’
Answer:
A, D, F
Step-by-step explanation:
Answer:
A
D
F
Step-by-step explanation:
I got it right on my assignment
Given f(c)=6(1-x)what is the value of f(-8)
Answer:
54
Step-by-step explanation:
Given f(c)=6(1-x)what is the value of f(-8)
You plug the value in. f(-8)=6(1--8)
f(-8)=6(9)
=54
Please mark Brainliest!
What is the value of the fallowing when x = 0
A. y = -5
B. y = -2
C. y = -1
D. y = 0
Answer:
B
Step-by-step explanation:
When x = 0 we are looking at the y- axis
The graph crosses the y- axis at y = - 2
Thus when x = 0 then y = - 2 → B
Two forces of 19.8 pounds and 36.5 pounds act on a body with an angle of 61.4 degrees between them.
Choose the correct approximation for the magnitude of the resultant vector.
Based on your question Two forces of 19.8 pounds and 36.5 pounds act on a body with an angle of 61.4 degrees between them.
After setting up the vectors on the plane and doing the required math
The answer is 49.2 pounds
C. 49.2
correct on edge assignment
WILL MARK BRAINLIEST PLEASE HELP
It also detects if you are right or wrong
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According to the table ;
[tex]f(0) = 6[/tex]
Let's check that in which of the equations it happens.
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A )
[tex]y = f(x) = 6x + 4[/tex]
[tex]f(0) = 6(0) + 4[/tex]
[tex]f(0) = 0 + 4[/tex]
[tex]f(0) = 4[/tex]
Wrong
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B )
[tex]y = f(x) = 4x + 6[/tex]
[tex]f(0) = 4(0) + 6[/tex]
[tex]f(0) = 0 + 6[/tex]
[tex]f(0) = 6[/tex]
Correct.
Thus this option is the correct answer.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
C )
[tex]y = f(x) = 2x + 4[/tex]
[tex]f(0) = 2(0) + 4[/tex]
[tex]f(0) = 0 + 4[/tex]
[tex]f(0) = 4[/tex]
Wrong
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Which is the sum of -4 and its additive inverse?
Answer:
-4 +4 =0
Step-by-step explanation:
The sum of a number and its' additive inverse is 0
The additive inverse of -4 is 4
-4 +4 =0
im really confused
Answer:
C. 10.5
Step-by-step explanation:
2=3
3=4.5
4=6.0
5=7.5
6=9
7=10.5
Answer:
the answer is 10.5
Step-by-step explanation:
if you keep going with the relationship every 1 place value up is another 1.5 added so if you go to 7 you get 10.5
How do I find the missing sides in this triangle?
What is the sum of -1.4-(-0.5)=-1.4+0.5
Help me Please!!!!!!!!!!!!
Answer:
literally 0
Step-by-step explanation:
What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56 Need answer ASAP!!!! Being Timed
Answer:
Step-by-step explanation:
fhv
kay is making a drink that needs 3 gallons of of juice , how many cups can she make of juice?
is -|42| positive bc like all absolute value is positive or like negative bc like the negative sign is outside of the absolute value bars
Answer:
everything inside is potssiise but it doesn't affect the sorrouding ones
2x+7=3x+4
step by step
Answer:
3=x or x=3
Step-by-step explanation:
2x+7=3x+4
-2x+2x7=-2x+3x+4
7=x+4
7-4=x+4-4
3=x or x=3
HELP ME ASAP!!!!!!!!!!!!!
Answer:256
Step-by-step explanation:
do [tex]2^{^{4\cdot \:2}}[/tex]
which equals [tex]2^{8}[/tex]
so your answer would be 256
mark me as brainliest pls :)
Answer:
where is the picture
Step-by-step explanation:
Choose the correct Triangle Congruence Theorem
Answer:
ASA
Step-by-step explanation:
Answer:
AAS
Step-by-step explanation:
The triangles have two congruent angles and one congruent side. This means they are congruent through the AAS theorem. The reason it is not the ASA theorem is that the side is not included, which means it is not in-between the congruent angles.
what is the distance between the points with coordinates (-5,5) and (5,-5)? express your answer in simplest radical form
Answer:
10 spaces in each direction
Step-by-step explanation:
5
!
-5--------------------!-------------------5
!
!
5
HELP ME ANSWER IT PLZ ASAP
6(6x−1)=5(5x+4)−2x
Answer:
2
Step-by-step explanation:
4x+5+4x+5+4x+5+4x+5+4x+5 solve for x
Answer:
3
Step-by-step explanation:
Shelila had $4.75 to buy pencils for an art class and each pencil costs 89c. How much pencils will she have?
Answer:
5 pencils
Step-by-step explanation:
4.75 / 0.89 = 5.33
Since you can't buy 1/3 of a pencil, Shelila can only buy up to 5 pencils
Brennan studies the relationship shown in the table. Which expression describes a method Brennan could use to determine the y-value when x equals 7?
Answer:
What is the long Division rhyme to help you solve?
What is the long Division rhyme to help you solve?
Step-by-step explanation:
Find h(x) + h (x+2), giving-
your is single fraction
answer as fraction
Answer:
Step-by-step explanation:
hx(x+x+2)
h x (2x + 2)
H x 2 (x + 1)
2h x (x + 1) is the answer
guys if I don't finish this imma get beat please help
Answer:
The answer is b.) hope this helps!!
Step-by-step explanation:
if you only look at H and H', you can see H' is being translated(slid) down the Y axis and since it is sliding down, it is -4, giving you (x, y-4)
4. Ian and his friends are renting a cabin
charges an initial fee plus a rate per night. The
relationship between the cost and the number of
nights is shown in the graph.
what is 1395^2 plz help