Step-by-step explanation:
In Quadrant II, cosine is negative.
We know that sin²x + cos²x = 1, so:
cosx = sqrt[1 - sin²x]
= sqrt[1 - (5/13)²]
= sqrt(144/169)
= -12/13 (since cosx is negative here)
The answer is -12/13. (B)
Option B is correct.
Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.
According to the given question
We have, sin ∅ = 5/13
From the trigonometric identities we know that
[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1
substitute the value of sin∅ in the above identity
[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅ =1
⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅ =1
⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]
⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]
⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]
⇒cos∅ = ±[tex]\frac{12}{13}[/tex]
Since, ∅ is in quadrant II, then cos<0
⇒ cos∅ = -[tex]\frac{12}{13}[/tex]
Hence, option B is correct.
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In a certain card game, for every 444 blue cards, there are 333 yellow cards. There are a total of 848484 blue and yellow cards in the game. How many blue cards are in the game?
Answer: There are 48 blue cards in the game.
Step-by-step explanation:
Given: In a certain card game, for every 4 blue cards, there are 3 yellow cards.
Total cards = 4+3 = 7
There are a total of 84 blue and yellow cards in the game.
Number of blue cards = [tex]\dfrac{4}{7}\times 84=4\times12 = 48[/tex]
Hence, there are 48 blue cards in the game.
Answer:
48
Step-by-step explanation:
BE YOU YOU IS THE BEAST YOU
Which expression is equivalent to the expression 22 – 10 – 7.5?
Answer:
24.5-9-6
Step-by-step explanation:
Answer:
Im not sure what u mean sry is there an = sign somewhere cuz that does not make sence
Step-by-step explanation:
Alexis bought 2 bags of apples for the fruit salad for her party. Each bag contained 13 apples. If she cuts each apple into 8 pieces, how many apple pieces would she have?
Answer:
2 times 13 is 26 and 26 times 8 is 206
Step-by-step explanation:
I NEED HELP WITH THIS MATH
Answer:
g(x) = - 3 ; x = 3
p(x) = - 5 ; x = -3, -9
f(x) = 5 ; x = 3, 5
Juan Carlos tiene 450 teléfonos móviles cada uno cuesta 30$y vienen 2 personas las 2 personas compran 3 teléfonos ¿cuantos dolares pagaron las 2personas?
Answer:
$90
Step-by-step explanation:
Given that:
Number of mobile phones = 450
Cost per mobile phone = $30
Number of mobile phones purchased = 3
The total cost of 3 mobile phones = amount paid remaining :
(Cost per mobile phone * number of mobile phones purchased)
= $30 * 3
= $90
ann invested 9000 in an account that
Hurryyyy I’m giving brainliest
Solve for y.
12 = 3y
Answer:
4
Step-by-step explanation:
3y=12 divide both sides by 3
y=4
Answer:
y = 4
Step-by-step explanation:
12 = 3(4)
12 = 12
the quotient of a number y and -3.6 is less than 6.5
(written as an inequality)
Answer:
[tex]\frac{y}{-3.6}[/tex] < 6.5
whats the equation ??
Answer:
the equation is 10 + -3x = y
7/12+1/3 show your work and how you got your answer
Answer:
11/12
Step-by-step explanation:
find the lcm of 12 and 3 which is 12.
find a common factor in 12 and 3 and use those factors to multiply with their numerators.
7 * 1 and 1*4 =11
while the denominator or the lcm is 12
thus 11/12
\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 67^\circ67
∘
67, degrees.
What is the measure of \angle b∠bangle, b?
Answer:
Assuming the question is asking for angle B, it measures 23°
Step-by-step explanation:
If angle A = 67°, and angle A and angle B are complementary, then you know they add up to 90°.
angle A + angle B = 90°
67° + Angle B = 90°
Angle B = 23°
Answer:
68
Step-by-step explanation:
right on khan
make 24 using 15,15,9,6
Answer:
24 = (9 * 6) - (15 + 15)
Step-by-step explanation:
Equation = (9 * 6) - (15 + 15)
Follow PEMDAS which in this case multiply 9 x 6
= 54 - (15+15)
Now you need to add the numbers that are in the parenthesis
= 54 - 30
= 24
Hope this helps!
What is the completely factored form of this polynomial? 4x4+12x2+9
Find the number of red marbles in a bag containing 54 total red and green marbles, if the ratio of green to red is 4 : 2.
Answer:
36 red marbles.
Step-by-step explanation:
all you need to do is multiply the ratio until you get the right number.
a satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 ½ days
Answer:
26.
Step-by-step explanation:
1 day/24 hours, makes 4 revolutions.
4 x 6 = 24,
1/2 of 4 = 2.
24+2 = 26.
26 revolutions, if my answer is wrong someone please correct me.
Bob and chris share some money in the ratio 2:3.
Bob receives £8
Work ouy how much Chris receives.
Answer:
Chris will receive 4 euros
Answer:
12
Step-by-step explanation:
what is the answer to this equation |x + 1| = 6
Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost? 3/4
Answer:
2.25 np
Step-by-step explanation:
Cost of one foot lace is $2.25
Given that;Cost of one foot lace = $3
Find:Cost of 3/4 foot lace
Computation:Cost of 3/4 foot lace = [3/4][Cost of one foot lace]
Cost of one foot lace = [3/4][3]
Cost of one foot lace = 9/4
Cost of one foot lace = $2.25
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please help asap will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
X = 1.6
Step-by-step explanation:
Hope this helps. Pls give brainliest.
SYSTEM:
log base root3 of (x-y) = 2
log base 4 of x - log base x of y = 7/6
Answer:
Step-by-step explanation:
SYSTEM:
log base root3 of (x-y) = 2 .... 1
log base 4 of x - log base x of y =7/6...2
From equation 1:
x-y = (√3)²
x - y = 3 ..... 3
From equation 2:
log base 4 of x - log base x of y =7/6
-log base x of 4 - log base x of y = 7/6
log base x of 4^-1 - log base x of y = 7/6
log base x of (1/4) - log base x of y = 7/6
According to law of logarithm
Log base x {1/4 ÷ y} = 7/6
x^7/6 = 1/4y .... 2
From 1, y = x-3
x^7/6 =1/4(x-3)
x^7/6 = 1/(4x-12)
x^7/6(4x-12) = 1
From
Find the value of c.
i need this pls
-15w(w+15)
Answer:
−15w2−225w hope this helped
Besed
2
Which point on the number line represents 4?
0
B
D
to
Ο Α
ОВ
с
OD
Sorry if you don’t understand the words I will put a picture
Answer:
I believe the answer is B
Step-by-step explanation:
good luck
Cuanto es 15 más 15 multiplicado por 2
Answer:
60
Step-by-step explanation:
Whats 22^4 - 2 2/4
Brainlest
Pls helppp
Answer: 234,253.50
Work: I did 22 to the power of 4 first and I got 234256. I subtracted 2 which is 234254, and than took 1/2. So, the answer is 234253.50.
Can y’all help me on this please
Answer:
588,499
Step-by-step explanation:
you just divide
PLEASE HELP! find (1,2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.
Answer:
Please check the explanation.
Step-by-step explanation:
Translating two units down means we need to subtract two units from the y-coordinate. i.e
(x, y) → (x, y-2)
We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.
FOR (1, 2)
Given
P(1, 2)First translation: Translating two units down
(x, y) → (x, y-2)
P(1, 2) → P'(1, 2-2) → P'(1, 0)
Second transformation: Rotation of 180 counterclockwise.
Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e
(x, y) → (-x, -y)
Thus, after second transformation
P'(1, 0) → (-1, 0)
Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)
FOR (2, 4)
Given
P(2, 4)First translation: Translating two units down
(x, y) → (x, y-2)
P(2, 4) → P'(2, 4-2) → P'(2, 2)
Second transformation: Rotation of 180 counterclockwise.
Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e
(x, y) → (-x, -y)
Thus, after the second transformation
P'(2, 2) → (-2, -2)
Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)
Find three consecutive integers such that 3 times the first added to the last is 22.
Answer:
5,6,7
Step-by-step explanation:
consetive integers are 1 apart
they are
x,x+1,x+2
3 times the first added to the last is 22
3x+x+2=22
combine like terms
4x+2=22
minus 2 both sides
4x=20
divide both sides by 4
x=5
x+1=6
x+2=7
the numbers are 5,6,7
Answer:
5,6,7
Step-by-step explanation:
hope this helps :)
Select the correct answer.
Select the function that defines the given sequence.
-11, -8, -5, -2, 1, . . .
Answer:
f(x) = 3x - 14Step-by-step explanation:
Given sequence:
-11, -8, -5, -2, 1, . . .This is an AP with first term of - 11 and common difference of 3
As an AP it is linear function with points
(1, -11), (2, -8), ...We can define slope as m = 3 and y-intercept as (0, -14) so the function is:
f(x) = 3x - 14(-4b3 + b – 1) + (6b – 6) =
Answer:
7 B - 50
Step-by-step explanation: