IF 0 ≤theta°≤360°

find cos(2theta-10°)=-1/2

Answers

Answer 1

Answer:

θ

can be in the first quadrant

0

θ

90

or the fourth quadrant

270

θ

360

If

θ

is in the first quadrant,

then

sin

θ

=

5

13

cos

θ

=

12

13

tan

θ

=

5

12

Therefore,

sin

2

θ

=

2

sin

θ

cos

θ

=

2

×

5

13

×

12

13

=

120

169

cos

2

θ

=

cos

2

θ

sin

2

θ

=

(

12

13

)

2

(

5

13

)

2

=

144

169

25

169

=

119

169

If

θ

is in the fourth quadrant,

then

sin

θ

=

5

13

cos

θ

=

12

13

tan

θ

=

5

12

Therefore,

sin

2

θ

=

2

sin

θ

cos

θ

=

2

×

5

13

×

12

13

=

120

169

cos

2

θ

=

cos

2

θ

sin

2

θ

=

(

12

13

)

2

(

5

13

)

2

=

144

169

25

169

=

119

169


Related Questions

Eduardo bought two heads of cabbage for$1.80. How many heads can Maria buy ifshe has $25.20?

Answers

Answer:

28 cabbages

Step-by-step explanation:

25.20/1.80=14

14*2=28

(7x+3)+(-x-5)=-16 solve for x

Answers

Answer:

(7x+3)+(-x-5)=-16

or,7x+3-x-5=-16

or,6x-2=-16

or,6x=-16+2

or,6x=-14

or,x=-14/6

hence x=-14/6

do you need to regroup to subtract 881 from 4,986 how do u know?

Answers

no because

4986

881

4 1 0 5

there is no regrouping because every top number is equal to or larger than the bottom number

There is no need to regroup to subtract 881 from 4,986, the answer would be 4105.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The two numbers are:

881 and 4986

As we know,

The term PEDMAS describes the sequence in which arithmetic operations must be carried out in an equation.

According to this rule, operations should be carried out in the following order: parentheses, exponents, multiplication or division, then addition or subtraction.

After applying the concept of arithmetic operation:

= 4986 - 881

= 4105

Thus, there is no need to regroup to subtract 881 from 4,986, the answer would be 4105.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

can someone help me please

Answers

The answer should be 55
The aswner should be 55

Find the angle of rotation that maps A onto A''.

Answers

Answer:

The answer to this question is 45 degrees.

Answer:

the answer is 150

Step-by-step explanation:

find the sum of the first 10 term of geometric sequence 1,4,16,64...
with solutions ​

Answers

Answer:

Step-by-step explanation:

1 × 4 = 4

4 × 4 = 16

16 × 4 = 64

64 × 4 = 256

256 × 4 = 1024

1024 × 4 = 4096

4096 × 4 = 16384

16384 × 4 = 65536

65536 × 4 = 262144

so the sum of the first 10 term = 1 + 4 + 16 + 64 + 256 + 1024 + 4096 + 16384 + 65536 + 2622144 = 349525

please give me a brainliest answer

Need help ASAP 80 points ?!!!

Answers

Answer:

f(6)=5+2(x)

f(6)=5+2(6)

f(6)=5+12

f(6)=17

Step-by-step explanation:

What number must be subtracted from both the numerator and the denominator of 5/3 to obtain a Fraction equal to 1/4?

Answers

Answer:

17/3 should be subtracted from both the numerator and denominator to obtain a fraction equal to 1/4.

Step-by-step explanation:

Let the number be x

5-x /3-x= 1/4

20-4x= 3-x

20-3= 4x-x

X= 17/3

Hope it helps!:)

Define brittleness and strength​

Answers

Answer:

brittleness is weak and breaks easily and is little to no strength, strength means strong and mighty and is tough, very durable

Step-by-step explanation:

I know the definitions

Which type of soil holds the most water?
silt
sand
loem
clay​

Answers

Answer:

Clay

Step-by-step explanation:

Clay soil has small, fine particles, which is why it retains the most amount of water. Sand, with its larger particles and low nutritional content, retains the least amount of water, although it is easily replenished with water. Silt and loam, with medium-size particles, retain a moderate amount of water.

Clay most prob

Mark me the brainliest

what is 4/5 of 10/3 ???????????

Answers

Answer:

Your answer is 8/3 or 2 2/3.

Step-by-step explanation:

4/5 * 10/3

Hope this helps!

5x-2/4=7 solve the equation​

Answers

Answer:

[tex] \frac{3}{2} [/tex]

Step-by-step explanation:

For explanation, please refer the attachment

I hope you are doing well in maths

Good luck

Answer:   3/2  or 1.5

Step-by-step explanation:

5x-2/4=7

5•x-2/4=7

20x = 30

x = 3/ 2

= 1.5

1) <1 and <2 are supplementary angles. If m<1 = (4x)º and m<2 = (8x), then
find the measures of these angles.

Answers

Answer:

i think the answer =x€R\(0)

4x + 8x = 180
12x = 180
x=15
So angle 1 = 4(15) which is 60 degrees
Angle 2 = 8(15) which is 120 degrees

What is the area of a circle if the circumference is 16

Answers

The area of the circle would be 20.31.

Can someone help me please :)?

Answers

Option 1 does not represent a function.

A function is a relation in which no two ordered pairs have the same input (x-values) and different outputs (y-values).

In option 1, x = 1 has two corresponding y-values: -6 and 9. Therefore, the given relation in Option 1 does not represent a function.

Please mark my answers as the Brainliest, if you find this helpful :)

Suppose that this is not a complete graph of a particular function. Instead, the function has a local minimum at x=-4. What might be true about the function?
A. It could be 6th degree polynomial with a positive leading coefficient.

B. It could be 6th degree polynomial with a Negative leading coefficient.

C. It could be 7th degree polynomial with a positive leading coefficient.

D. It could be 7th degree polynomial with a Negative leading coefficient.

Answers

Answer:

B. It could be 6th degree polynomial with a Negative leading coefficient.

Step-by-step explanation:

if r=3 cm,s=4cm find the area of the shaded area?​

Answers

Answer:

hope it helps.............

Answer:

Step-by-step explanation:

π[tex]S^{2}[/tex]-π[tex]r^{2}[/tex] is equal to the area of the shaded area

π[tex]4^{2}[/tex]-π[tex]3^{2}[/tex]

(put this into your calculator)

this equals to 7π

which approximates to 21.99 [tex]cm^{2}[/tex]

and it rounds to 22 [tex]cm^{2}[/tex]

PLEASE HELP!!! asappp i dont understand

Answers

That is something like I can do with you and good luck to your module hehehhe

Answer:

x = 80°

Step-by-step explanation:

100° and x° are adjacent angles on a straight line and sum to 180° , that is

100° + x = 180° ( subtract 100° from both sides )

x = 80°

(1) Simplify √108 - 12/√3 giving your answer in the form k√3, where k is an integer.​

Answers

1) Simplify √108 to 6√3

6√3 - 12/√3

2) Rationalize the denominator: 12/√3 · √3/√3 =12√3/3

6√3-12√3/3

3) Simplify

6√3/3

Find the missing number so that the equation has no solutions.
2x + 9 = = x-1
Submit

Answers

Answer:

x=-10

Step-by-step explanation:

2x +9= x-1

2x-x=-9-1

x=-10

Annie ran a total of 55.3 miles of 7.75 days about how much did she run each day

Answers

Answer:

7.1

Step-by-step explanation:

All you have to do is divide.

Annie ran about 7.13 miles per day!
55.3 divided by 7.75 = 7.13 :))))

[tex]\frac{7}{\sqrt{3}}[/tex]

Answers

It is 7 radical 3 on the top and radical 3 on the bottom.

is "-6" a rational number, irrational number, an integer, a whole number, a natural number, or some combination?

Answers

Answer:

-6 is a rational number and an integer

Step-by-step explanation:

solve the inequalities: x(x+2)(x-7)≤0

Answers

Answer:

x[tex]\leq[/tex]-2 or 0≤x≤7

Step-by-step explanation:

I need help on the second part where you identify if the examples are equal​

Answers

Answer:

No equal

Step-by-step explanation:

Let's make it simpler:

a/b = x, c/d = y, e/f = z

We have:

(x/y)/z = x/y*1/z = x / (yz) x/(y/z) = x*z/y = xz/y

Further steps

(a/b) / (ce/df) = (ace) / (bdf)(ae/bf)/(c/d) = (ae/bf)*(d/c) = (ade)/(bcf)

As you see the end results are different

ANswer this question
1+1=3

Answers

Answer:

parallel

Step-by-step explanation:

as you can see in the image, the lines are parallel. Since both lines have the same slope, just a different y-intercept, they're parallel.

Please help i don’t understand this

Answers

Put the equation in ax2 + bx + c form

Hi,

The answer is 2, 5.

The equation is in the vertex form of a quadratic. Which is “y = a ( x − h )^2 + k” and (h, k) is the vertex.

Will give brainliest please help

Answers

Answer:

Slope of AB= undefined(it is a vertical line, x=-5)

Slope of CD=0(it is a horizontal line, y= 9)

They are perpendicular to each other

Step-by-step explanation:

I hope you mark this brainliest

What is the rate of change of the function y=-x+1

Answers

Answer:  -1

Step-by-step explanation:

The rate of change = slope = -1

This is because the rate of change of a linear function is the slope.

Solve the following equation:
3x+1/x-2 = -6/11​

Answers

Answer:

Hence, the value of x is 1/39.

Step-by-step explanation:

[tex]\sf \leadsto \dfrac{3x + 1}{x - 2} = \dfrac{-6}{11}[/tex]

[tex]\sf \leadsto 11(3x + 1) = -6(x - 2)[/tex]

[tex]\sf \leadsto 33x + 11 = -6x + 12[/tex]

[tex]\sf \leadsto 33x + 6x = 12 - 11[/tex]

[tex]\sf \leadsto 39x = 1[/tex]

[tex]\sf \leadsto x = \dfrac{1}{39}[/tex]

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