If the sinø=7/12, what is cosø?

Answers

Answer 1

Answer:

If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]

We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]

Inserting values and finding adjacent:

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]

So, value of Adjacent is [tex]\sqrt{95}[/tex]

Now finding cosФ

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12

[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]

So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]


Related Questions

Given f(x) = 9(2 - x), what is the value of f(-3)?

Answers

Answer:
f(-3)=45

Explanation:
To find f(-3), we plug in -3 as x.

f(x)=9(2-x)
f(-3)=9(2-(-3))
f(-3)=9(2+3)
f(-3)=9(5)
f(-3)=45

I hope this helps!

Answer:

Step-by-step explanation: find the exact value by using trigomectric identities

Examine the power 5^3

Answers

Answer:

5^3 is the same thing as 5 x 5 x 5. It equals 125

125 is the answer hope it helps!

HELP ME PLEASE, ASAP I JUST NEED X !!

Answers

Answer:

x = 6 deg

Step-by-step explanation:

14x + 11 = 16x - 1 (corresponding angles, // lines)

-2x = -12

x = 6

Answer:

C

Step-by-step explanation:

16x - 1 and 4x + 11 are corresponding angles and are congruent, thus

16x - 1 = 14x + 11 ( subtract 14x from both sides )

2x - 1 = 11 ( add 1 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Substitute x = 6 into either of the 2 equal angles

Substituting into 14x + 11 , then

14x + 11 = 14(6) + 11 = 84 + 11 = 95° → C

N-(-7)= 12 how do you rewrite

Answers

Answer:

N + 7 = 12

Step-by-step explanation:

When you have a number minus a negative number, it's the same as addition.

Answer:

N=4

Step-by-step explanation:

or N- x -7=12   because

( ) means multiplication

I need help with #18 & 20
Please explain so I understand

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Isjsndjxksmnsjzksksms oaksmskxi haha

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Infinite lines of symmetry because you can make any cut on the circle and it would en symmetric with the captain America shield

Please help me before I fail... I really need some help <3 please ;-;

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Answer:

sin( 61) = x/55

55(sin(61)) = x

48.1 = x

Hope this helps!

the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z’?

Answers

Answer: -3 , 3

Step-by-step explanation:

thank me later;)

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?
2y = x – 4.5
y = x – 3
6y = 6x – 27
y = x – 4.5

Answers

Answer: B

Step-by-step explanation: If you divide the 3 Y to get Y by itself, you will divide 3 on both sides. So 2X/3=2X/3 and -9/3=-3

So it will be Y=2X/3-3

*I'll mark your answer BRAINLY*

solve the system of equations 10x+12y=380
6x+8y=244​

Answers

x=14 and y=20

(10x14)+(12x20)=380
140+240=380
(6x14)+(8x20)=244
84+160=244

Jack has $65 to spend on art supplies. He needs to buy an easel that costs $18. He also wants to buy some canvases that cost $11 each
Which of the following inequalities represents the amount of money Jack can spend if he buys n canvases?
A:65 >(line underneath sign)18 + 11n
B:65 > 18 + 11n
С:65 < (line underneath sign) 18 + 11n
D:65 < 18 + 11n

Answers

Answer:

C

Step-by-step explanation:

Jack can spend less than or equal to. So C is correct.

The inequality represents the given situation is 65 ≥ 18 + 11n will be correct thus, option (A) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given,

Total budget = 65

Total spent = 18 + 11n  where n is the number of canvases.

Total spent ≤ total budget

18 + 11n ≤ 65

Hence "The inequality represents the given situation is 65 ≥ 18 + 11n will be correct".

For more about inequality,

brainly.com/question/20383699

#SPJ5

Could an angle be complementary to itself? If so, what would its measure be

Answers

Answer:

I think it would be 45 degrees

Answer:

A complementary angle would be two different angles that add up to 90 degrees. If you have an angle of 60 degrees, the other side would have to be 30 to be complementary.

CAN YOU PLEASE HELP ME CORRECT ANSWER GETS BRAINLIST !

Answers

Answer:

25

Step-by-step explanation:

7^2+24^2=625 the sqr root of 625 is 25

Answer:

Answer is 25

Step-by-step explanation:

[tex]24x^{2} +7x^{2} =25x^{2}[/tex]

HELP ILL GIVE BRAINLIEST

Answers

Answer:

i think its is 1.x 2.x4 3.x9 4.1x-2

Step-by-step explanation:

i tride but it will be helpful if you give me brainlits

Please help!!!
3(x + 8) − 1 = 3x + 4

Answers

Answer:No value

Step-by-step explanation:there are no value solutions that make x a solution

Answer:

19

Step-by-step explanation:

3(x+8)-1=3x+3   3x+24-1=3x+4     3x+23=3x+4       3x+19=3x       -3x+3x=19

x=19

He Martins have a solar energy system. The system produces 9.1 Kilowatts of energy each hour. The system produces electricity for 5 hours each day. How much energey, in KWh, will the system produce in 100 day?

Answers

Answer:

4550 kilowatt

Step-by-step explanation:

Given that :

Amount of energy produced per hour by solar energy system = 9.1 kw per hour

Number of hours for which electricity is produced per day = 5 hours

How much energy will be produced in 100 days

Number of kilowatt of energy produced per day:

Energy produced per hour * number of hours

9.1 kw per hour * 5 hours = 45.5 Kilowatt per day

In 100 days :

Daily energy produced * number of days

45.5 kilowatt * 100 days

4550 kilowatt

Mrs. Bell can grade 12 papers in 20 minutes. At this
rate, how many papers can she grade in one hour?

Answers

Answer:

36

Step-by-step explanation:

.Rachel goes shopping at HEB. She buys 1.4 pounds of ground beef. The cost per pound for ground beef is $2.50 per pound. She also buys a can of tomato sauce for $1.99 and a package of spaghetti for $1.75. What was the total amount that she paid for these items?

Answers

$2.50*1.4= $3.50
+$1.99+$1.75= $7.24

$7.24 is your answer


total: 7.24

adding all these up, we get $7.24

she pays:
$3.50 for 1.4lbs of ground beef (1.4 x 2.50)
$1.99 for sauce
$1.75 for spaghetti

Vicky records the low temperature for three consecutive days. Between the first and second days the temperature increased 6 degrees. Between the second and third days the temperature decreased 3 degrees. On the third day the low temperature was –6º. What was the low temperature on the first day?

Answers

Answer:

3

Step-by-step explanation:

-6+6=0

Plus the 3

Your answer is 3

Answer:

-3 or 3

Step-by-step explanation:

HELP THIS IS DUE IN 15 MINUTE AND I DONT KNOW HOW TO SOLVW IT

Answers

Answer:

infinity

Step-by-step explanation:

they are the same line on a graph so they have infinty solutions

solve the equation
1.2²(4a-8)=16

Answers

Answer:

I would love to help you because you are my favorite follower. But I do not know the answer. Sorry I feel very guilty

Answer:

Step-by-step explanation:

PLSSSSS HELP (brainliest)
What is the slope of the line that contains these points? x 5 6 7 8 y -5 -6 -7 -8

Answers

Answer:

-6/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]. Use two of the given points to solve.

-6-6/-5-5

-12/-10

-6/5

Best of Luck!

Answer:

-1

Step-by-step explanation:

You have to divide with y being on top and x being on the bottom you then get -1

Find the zero of the function f(x) = 5x-3

Answers

The answer is x= 3/5

Find the side indicated by the variable. Round to the nearest tenth.
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Answers

your anser would be 19

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and Thanks :)

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What is the missing side, x?

Answers

Answer:

76

Step-by-step explanation:

Anna made a scale drawing, in inches, of a building using a scale of 1:600. Her scale drawing was 6 inches long. Greg made a scale drawing of the same building using a scale of 1:300. How long, in inches, was Greg's scale drawing? A 2 B 3 C 12 D 50

you'll get 30 points.​

Answers

Answer:

C.12

Step-by-step explanation:

Answer:

i dont exactly know but the answer is C ?

Step-by-step explanation:

Use intercepts to graph the line described by the equation 2x − 2y = 8.

Answers

So what you wanna do is graph a point at (0, -4) because the y intercept is -5 after you turn this into y intercept form.

Then what you have to do is graph the slope -1 so from the pint you just graph go down one and left one and keep on doing that until you reach the x axis.

The point which is on the x axis is the x intercept


Pls mark brainleist

Answer:

y = x + 4  

Step-by-step explanation:

Slope intercept :  2x - 2y = 8  =  2x     2x  = 8 + 2y   =  2x = 8 +2y   = 2x-8 =2y is the sae as 2y = 2x -8 divide everything by 2  = 2x / 2 - 8/2  = 2y/2 = y = x-4    

Please answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

106°

Step-by-step explanation:

they are parallel to each other

Answer: 106

Step-by-step explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at 3:00 pm and time will it be when despacito at the same time

Answers

Answer:

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Step-by-step explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at start 3:00 pm and what time will it be when despacito at the same time ?

Find and list multiples of time that despacito plays Radio hot 97 and Station Z 100.

Hence, we find the Multiples of 5 minutes and 7 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45

Multiples of 7:

7, 14, 21, 28, 35, 42, 49

Therefore, the first common multiple is found which is the lowest common multiple is 35

LCM(5, 7) = 35

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Answer:

of course they play despacito that much lol

Step-by-step explanation:

Which expression is equivalent to (5x - 4)2?

Answers

Answer:

Step-by-step explanation:

the answer is 25x^2-40x+16

25x^2-40x+16 is equivalent to (5x - 4)^2.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

(5x - 4)^2

we know,

(a-b)^2= a^2-2ab+b^2

by using this, we get,

(5x - 4)^2

=5x*5x-2*5x*4+4*4

=25x^2-40x+16.

Hence, 25x^2-40x+16 is equivalent to (5x - 4)^2.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

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