If the terminal side of θ is in quadrant || and sin θ = 5/13, then the value of cos θ = -12/13.
Given that,
Terminal side of θ is in quadrant ||.
Sin θ = 5/13
We have the trigonometric identity,
sin² θ + cos² θ = 1
Substituting the value of Sin θ = 5/13, we get,
(5/13)² + cos² θ = 1
cos² θ = 1 - (5/13)²
= 1 - 25/169
= 144/169
cos θ = √ (144/169)
= ± 12/13
We have the terminal side of θ is in second quadrant. In the second quadrant, all the trigonometric values except sin are negative.
So, cos θ = -12/13
Learn more about Cosine Value here :
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Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?
y = –x + 4
Given:
The equation is:
[tex]y=-x+4[/tex]
To find:
The graph of the line that contains ordered pairs that are solutions of the given equation.
Solution:
We need to find the graph of the given equation.
We have,
[tex]y=-x+4[/tex]
At [tex]x=0[/tex], we get
[tex]y=-0+4[/tex]
[tex]y=4[/tex]
So, the x-intercept of the given equation is at point (0,4).
At [tex]y=0[/tex], we get
[tex]0=-x+4[/tex]
[tex]x=4[/tex]
So, the y-intercept of the given equation is at point (4,0).
From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).
Therefore, the correct option is C.
How to factorise this question
Answer:
Step-by-step explanation:
90-2(a-3)^2
=88{(a)^2-2*a*3+(3)^2]
=88[a^2-6a+9}
=88a^2-528a+792
help me with this quick pleaseeeee
Answer:
D' = ( 1 , -1 )
Step-by-step explanation:
2 times 1/2 = 1
-2 times 1/2 = -1
hope this helps ^^
i need help pls its a review form few years ago i cant rember the greeen and gray box pls help me
Answer:
The answer is 21 remainder 6
Step-by-step explanation:
heeelpppppppppppppppppppppp plz
Answer:
150°
Step-by-step explanation:
What is the perimeter?
Is this a Pythagorean triplet ?
12,5,13
on a piece of paper mark a point h for home and s for school. describe how to find the set points of equidistant from h and s
Answer:
e?..............................
What is the measure of ZYOZ, given that WXYZ?
W
X
105°
A. 75°
B. 255°
C. 95°
D. 105°
plss helpp
Answer:
same 105° option D is correct
A camera shop purchases a camera for $56.98 and sells it for $102.56. What is the percent of markup?
180%
120%
80%
20%
Answer:
180%
Step-by-step explanation:
Set up an equation:
Variable x = percent of markup
102.56/56.98 = x/100
Cross multiply
102.56 × 100 = 56.98 × x
10,256 = 56.98x
Divide both sides by 56.98:
179.99297.... = x
Round to nearest whole number:
180 = x
Check your work:
56.98 × 180%
Convert the percentage into a decimal:
56.98 × 1.80
102.564
Round to nearest cent:
102.56
Correct!
I need a answer for this
Answer:
6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10^2
a^2 +64=100
a^2 = 100-64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
can someone pls pls help me ?
This is due at midnight need help ASAP
Answer:
hiiii i would love to answer yoyr question all you have to do is the bottom line which is x from the 1 count all the way until 5 and that is your answer for the first one and then for the y from the 4 count all the way until the 13 and that will give you your answer so ( , )
quentin is going to buy a pair of pants that cost $32.50. he has a coupon for 20% off the price of one item and another coupon for $5.00 off the price of one item. he can only use one coupon. which coupon should quentin use to save the most money
Answer:
20% coupon
Step-by-step explanation:
20% of 32.50 = 6.5
32.50 - 6.50 = 26
32.50 - 5 = 27.50
26 is less than 27.50, therefore, the 20% off coupon should be used to save him $1.50.
9.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–2, 1); minimum
B. (–2, 1); maximum
C. (1, –2); minimum
D. (1, –2); maximum
Answer:
C. (1, –2); minimum
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The vertex is the turning point of the graph.
This is at (- 1, - 2)
The graph changes from decreasing to increasing at (- 1, - 2)
Hence is a minimum at (- 1, - 2)
Quinlan pays $178 every 4 months for his guitar lessons. At this rate, how much will Quinlan pay for 3 years of guitar lessons? A $534 B $2,136 C $1,602 D $712. Can you explain how I show my work for it because it's %50 or my grade
Answer:
c 1602
Step-by-step explanation:
there are 36 months in 3 years but he pays every 4 months so now we do 36/4 to get 9 after we do 178x9 to get 1602
(5. solve for x )
2/5 + x = 1
C =tid circumference = 3.14 x diameter
If a circle has the diameter of 24 ft, what is the circumference?
ft.
Answer:
75.36.
Step-by-step explanation:
C= Pi D (Pi times diameter) so you do 3.14x 24 which then you get your answer of 75.36.
Octavia is wrapping a cube-shaped gift box with wrapping paper. If the cube's edge has a length of 27.8 in., what is the amount of wrapping paper Octavia needs to wrap the gift?
Answer:
21484.952 ft^3
Step-by-step explanation:
a cube has the same edges so its basically
27.8^3
Akhil and Sonu are friends who study in the same school who attended their Assessment test, after they get their results, Akhil and
Sonu compared their scores. His friend Sonu claims that his score is a two-digit number, the sum of the digits of which is 14. The
number formed on reversing the digits of this number is 36 less than the number.
Read the paragraph carefully and answer the below question:
11.
1) What is the digit in the unit's place originally? help plsss
Answer:
digit in the unit's place originally = 5
Step-by-step explanation:
x + y = 14
xy - yx = 36
Now, the only single digits that sum up to 14 are;
9 + 5 = 14
8 + 6 = 14
We can't use 7 + 7 because they said there is a difference when the numbers are reversed.
Now, let's assume 95 is the original number since we are told when it is reversed it is lesser.
Thus, when reversed we have 59.
Difference = 95 - 59 = 36
Thus,unit number of original number = 5
Alan’s gift basket contains three oranges for every five apples. If the basket has nine oranges, how many apples does it have?
Answer:
15 apples
Step-by-step explanation:
If x varies directly as y and x = 74 when y = 10, find x when y = 4.
Answer:
The value of x is 21 .
Step-by-step explanation:
We are given that x varies directly as y
--- A
We are given that x = 7 and y = 28
Substitute the values in A
7 = 28k
Now equations becomes :
y = 84
Hence The value of x is 21 .
#Learn more:
Find the value of y for a given value of x, if y varies directly with x.
If y = −252 when x = 84, what is y when x = 74
Step-by-step explanation:
Hudson is having his car repaired. The mechanic said it would cost at least $425 for parts
and labor. The cost of the parts was $200 and the mechanic charges $75 per hour for
labor. Write and solve an inequality to find how many hours the mechanic plans to work on
the car. Interpret the solution.
Answer:
The correct answer is - 3 hours.
Step-by-step explanation:
Given:
Price of parts: $200
Price of labor: $75/hour
Total cost: $425
Solution:
Let x = x of hours work done on the car
The inequality can be represented as:
425 = 75x + 200
Solving this inequality, we find that
225 =75x
or
x = 3
Thus, It means that the mechanic will take at least 3 hrs to work on his car.
Find the volume of this sphere.
Use 3 for 7T
V [?]ft3
V = Tr3
1
3ft
PLEASE HELP
Answer:
eyjssghafhfa
th
at
hatt
hatthwwtu
twh
wth
tw
h
wth
th
wy
wty
wth
wth
wy
had to be 20 characters long...
A N S W E R
Q U I C K L Y
P L E A S E
Answer: D!!
Step-by-step explanation:
You need a common denominator (bottom number) to subtract!
Answer:
d
Step-by-step explanation:
I think it is D. Hopfully.
Solve this problem and I will give you a brainliest (up)
Answer:
x < 1
x > -1
Step-by-step explanation:
288 chocolates are put into three boxes The chocolate are put into a small box a medium box and a large box on the ratio 1:3:8
HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST
GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT
What are the zeroes of f(x) = x2 − 2x − 3?
x = −3, 1
x = −3, −1
x = 3, 1
x = 3, −1
Answer:
x=3 x = -1
Step-by-step explanation:
f(x) = x^2 − 2x − 3
Set the function equal to zero
0 = x^2 − 2x − 3
Factor
What two numbers multiply to -3 and add to -2
-3 *1 = -3
-3+1 = -2
0 = (x-3)(x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x = -1
5f - 2g + 3f - 4 - g
Answer:
8f-3g-4
Step-by-step explanation:
hope this helps U0U