Mathematics College

Find the value of θ from the following equation.(θ≤90°)​

Find The Value Of From The Following Equation.(90)

Answers

Answer 1

Answer:   10°

__________________________________________________________

We are given:

Sin(6θ)  = Cos(3θ)

Solving for θ:

Simplifying Cos(3θ):

We know that:  

Cos(θ) = Sin(90-θ)

So, we can say that:

Cos(3θ) = Sin(90 - 3θ)

Finding the value of θ:

Sin(6θ) = Cos(3θ)

Sin(6θ) = Sin(90 - 3θ)                             [Since Cos(3θ) = Sin(90 - 3θ)]

6θ = 90 - 3θ                                            [If Sin(θ) = Sin(A) ; θ = A]

9θ = 90                                                   [adding 3θ on both sides]

θ = 10°                                                     [dividing both sides by 9]

Related Questions

y=_x+_ what would be the answer​

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

A university​ president's salary for the​ 2012-2013 academic year was ​$490,000. Calculate his​ 2013-2014 salary if he received a 2.7% raise

Answers

Answer:

His 2013-2014 salary will be $503,230

Step-by-step explanation:

His new salary will be

490,000 + 2.7% of 490,000

= 490,000 + (2.7/100 * 490,000)

= 490,000 + 13,230

= $503,230

HELP PLSSSSSSSSSSSS!!!!!!!!!!!!!!


Several pennies are placed along a meter stick and the position in centimeters of each penny is recorded. The mean position is the 50-centimeter mark and the MAD is 10 centimeters. What information does this tell you about the position of the pennies along the meter stick?


I NEED ANSWER FAST!!!!!!!!!!!!!!!!!!! DONT WASTE TIME IF YOU DONT KNOW WHAT IT IS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

60

Step-by-step explanation:

Given thesinθ = 8/17 the ratio for cosine of θ is
. Enter your answer as a fraction.

Answers

Cos^2=1-sin^2
=1-64/289
225/289

Step-by-step explanation:

using Pythagoras theorem adjacent will be 15

so cos will be adjacent/hypotenuse

which is 15/17=0.882

What is the x-intercept and the y-intercept of the following equation? -12 + 18y = 108

Answers

Answer:

Slope=− 1.083/1.083 =−0.542

x−intercept= 144/13 =11.07692

y−intercept= 144/24 =6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Intercepts of a Line

The x-intercept of a given line is the point where the line crosses the x-axis and the y-intercept of a given line is the point where the line crosses the y-axis.

We are given the following line:

-12x + 18y = 108

To find the x-intercept, we set y=0 and solve for x:

-12x + 18*0 = 108

-12x = 108

x = 108 / (-12) = -9

The x-intercept is the point (-9,0)

To find the y-intercept, we set x=0 and solve for y:

-12*0 + 18y = 108

18y = 108

y = 108 / 18 = 6

The y-intercept is the point (0,6)

The slope of the line through -9,6 and -6,-9
​

Answers

Answer:

-5

Step-by-step explanation:

plz mark brainliest :)

Jquan rides his bike at the rate of 16 m in eight minutes how long does it take him to travel per meter

Answers

Answer:

.5 of a minute

Step-by-step explanation:

On a piece of paper graph f(x) =6 • (0.4)^x. Then determine which answer choice matches the graph you drew

Answers

Answer:

The general form of an exponential function is

             .... (1)

Where, a is initial value and b is growth or decay factor.

If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.

The given function is

          .... (2)

From (1) and (2) it is clear that

The value of a is 6. It means the initial value or y-intercept of the function is 6.

The value of b is 0.4, which is less than 1. It means the function is a decreasing function.

Let x be the following values: 1, 2, 3, 4 , 5.

Let f(x) = y.

I will do one only.

Let x = 1

y = 6•(0.4)^(1)

y = 6•(0.4)

y = 2.4

Your first point is (1, 2.4).

Do the rest in like manner. Then graph each point on the xy-plane and lastly connect each point with a smooth curve.

Got it?

Five mice were placed in a science-testing cage. The population doubled every three weeks. Now many mice were there after 12 weeks?

Answers

Answer:

25

Step-by-step explanation:

at 3 weeks there would be 10,6 weeks would be 15,9 weeks 20, 12 weeks is 25

Cassie drives 270 miles in 4.5 hours. If she drives At a constant rate how far will she drive in 8 hours

Answers

Answer:

480

Step-by-step explanation:

270/4.5=60

60 x 8 = 480

Answer:

480 miles

Step-by-step explanation: First Divide 270 by 4.5 to get 60 mph then multiply 60 time 8 then you will get 480

2
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 142,990 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.

Answers

Answer:

1115322

Step-by-step explanation:

In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.

Claimed statement is he worst is yet to come, with an earthquake 142,990 times  as intense as the 1906 earthquake ready to hit San Francisco.

We need to find the magnitude of their  claimed earthquake.

It can be calculated by simply multiplying 142,990 by 7.8 as follows :

[tex]E=142990 \times 7.8\\\\=1115322[/tex]

The magnitude of claimed earthquake is 1115322 .

Using the earthquake intensity relation on the Ritcher scale, the magnitude of the claimed earthquake would be 13.0

Uisng the relation :

[tex] M_{a} - M_{b} = log(\frac{I_{a}}{I_{b}}) [/tex]

Mb = 7.8Intensity = 142990

Substituting the values into the equation :

[tex] M_{a} - 7.8 = log(142990) [/tex]

[tex] M_{a} - 7.8 = 5.1553056 [/tex]

[tex] M_{a}= 5.1553056 + 7.8 [/tex]

[tex] M_{a} = 12.955 [/tex]

Therefore, the magnitude of the claimed earthquake would be 13.0

Learn more : https://brainly.com/question/15948176

the sale of sneakers increased 150% from last year last year the company sold 1,250 sneakers how many sneakers were sold this year?

A) 625
B) 1,312
C) 1,875

​

Answers

Answer:

Step-by-step explanation:

150% is equivalent to 1.5 so the answer is:

1250 * 1.5

= 1875.

Answer:

1875

Step-by-step explanation:

Help me please I will mark as brainliest!!

Answers

Answer:

A is answer

Step-by-step explanation:

Cuz once you solve it isn't a fraction any more

I think

Juan always saves the same amount from his weekly allowance. This table shows how much he has saved in dollars at different times.

Answers

Answer:

y−28=3(x−6)

I took the test. I hope this helps

In the figure below, m 1 = 3x° and m2 = (x+36).
Find the angle measures

Answers

Answer:

Step-by-step explanation:

∠1+∠2=180°

3x+x+36=180

4x=180-36=144

x=144/4=36°

∠1=3x=3×36=108°

∠2=x+36=36+36=72°

The measures of the angles are m∠1 = 108° and m∠2 = 72°.

Given,

m∠1 = 3x°

m∠2 = (x + 36)°

We need to find the measure of these angles.

What is a straight line angle?

The straight line angle is 180 degrees.

If the angle is split the sum must be equal to 180 degrees.

We have,

m∠1 = 3x°

m∠2 = (x + 36)°

The figure is at a straight-line angle.

So we have,

m∠1  + m∠2 = 180°

3x° +  (x + 36)° = 180

3x + x + 36 = 180

4x + 36 = 180

4x = 180 - 36

4x = 144

x = 144/4
x = 36

Now,

- m∠1

= 3x

= 3 x 36

= 108

- m∠2

= x + 36

= 36 + 36

= 72

Thus the measures of the angles are m∠1 = 108° and m∠2 = 72°.

Learn more about straight line angles here:

https://brainly.com/question/13037238

#SPJ2

PLS HELP ME WITH THIS WHOEVER ANSWERS FIRST AND/OR THE BEST I WILL GIVE YOU BRAINLIEST WORTH 40 POINTS!!!!!!!!

Answers

Answer:

Sorry Its too small

Step-by-step explanation:

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?

Answers

Answer:

3 zeros

Step-by-step explanation:

The fundamental theorem of algebra states that any polynomial with degree m>0  and complex coefficients has at least one complex root. Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.

The given function is   4x^3-x^2-2x+1

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.

Answer:

Step-by-step explanation:

4x3 − x2 − 2x + 1

I show one zero. X= - 0.78769256

Directions. Answer the question about rate, ratios, and proportions.
What value will make this an esu valent ratio?
37 and
21

Answers

Answer:

37

Step-by-step explanation:

37

Two pounds of grapes costs $6 as shown in the table. At this rate, how much does 1 pound of grapes cost?

Answers

Answer:

1 pound of grapes cost 3$

Step-by-step explanation:

If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6

Find the simplified product 5/n+1 x n+1/n+3

Answers

5(n+1)/(n+1)(n+3)
Cancel out common factor
Final answer: 5/n+3

Answer: C) 5/n+3

Step-by-step explanation:

What is 2 divided by 1/6?
1/12
2
6
12
ASAP pls

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{12}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 \div \frac{1}{6}} [/tex]

We know that division by fraction is the inverse of multiplication. If any number or fraction is divided by a fraction , we multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator.

[tex] : \longrightarrow{ \: 2 \times \frac{6}{1} }[/tex]

Multiply

[tex] : \longrightarrow{ \boxed{ \bold{ \text{12}}}}[/tex]

And we're done!

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

D. 12

Step-by-step explanation:

2 = 2/1

2/1 ÷ 1/6 =

2/1 × 6/1 =

12/1 = 12

Use the formula m= y2-y1/x2-x1 to calculate the slope of the line.

Answers

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 8)

Point (-6, -8)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-8-8}{-6-2}[/tex]Subtract:                       [tex]m=\frac{-16}{-8}[/tex]Divide:                           [tex]m=2[/tex]

Which of the following best defines an input​

Answers

Answer:

Step-by-step explanation:

A number that goies in and later comes out as an 'output' the output is the result

What is the x-intercept of the line 6x−3y=24 ?

Answers

Answer:

what line are you talking about

In the diagram below what is the approximate length of the minor arc XY

Answers

Diagram....bruh....

Can someone help me with this?

Answers

Answer: 121

Step-by-step explanation:

11 x 11 is 121 so same number of rows and columns

Answer:

1260=(2-n)180

1260=360-180n

1260_360=-180n

900= -180n

n=900/-180

n= -5

n=

900/-180

Johnny took a math test with 25 questions He answered 22 questions correctly in order to get an a he had to get 90% of them right. Did Johnny get an a on his math test?

Answers

Answer:

88%

Step-by-step explanation:

No Johnny boy did not

88% ...........................

7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks

PLEASE HELP
3. The function E(v)= 15v^2 / 2 models the
kinetic energy E in joules of an object
with a mass of 15 kilograms, where v is
the velocity of the object in meters per
second. Write the inverse function v(E) to
find the velocity of a 15-kilogram object
with kinetic energy E.

Answers

Answer:

i think it is 15v (E) = √(2E/m)

Step-by-step explanation:

From the question given:

E = ½mv²

E is the kinetic energy

m is the mass of object

v is the velocity.

To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.

This can be obtained as follow:

E = ½mv²

Cross multiply

mv² = 2E

Divide both side by m

v² = 2E/m

Take the square root of both side

v = √(2E/m)

Therefore, the model v(E) for the velocity of the object is given by:

v (E) = √(2E/m)

The inverse function v(E) to find the velocity of a 15-kilogram object

with kinetic energy E should be [tex]15v (E) = \sqrt (2E/m)[/tex]

Calculation of the inverse relation:

Since we know that

[tex]E = 1\div 2mv^2[/tex]

Here,

E is the kinetic energy

m is the mass of object

v is the velocity.

Now we can write like

[tex]mv^2 = 2E[/tex]

So,

[tex]v^2 = 2E/m[/tex]

Now Take the square root of both side

So,

[tex]v = \sqrt (2E/m)\\\\v (E) = \sqrt (2E/m)[/tex]

Learn more about function here: https://brainly.com/question/24580305

5( y + 2) -4 ( y - 1) = 6

Answers

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