All categories

3 years ago

Help please ASAP!!!! I NEED CORRECT ANSWERS ONLY FOR BRAINLIEST

Mathematics

1 answer:

MrRissso [65]3 years ago

5 0

Let us start subtracting 3 cos theta both sides so that we may get all theta terms on left side only

It is now : 4 cos theta - 3 cos theta = - (sqrt3)/ 2

1 cos theta = -( sqrt 3 ) /2

we know cos (pi-x)= - cos x And cos (pi+ x)= - cos (x)

********* let us first use :

- Cos ( pi - theta) = - ( sqrt 3 )/2

this implies cos (pi- theta )= (sqrt 3) /2

cos ( pi - theta )= cos (pi /6)

pi- theta = pi/6

pi- pi/6 = theta

5 pi/6 = theta

one of teh answer is 5 pi/6 . another value of theta would be :

(2pi - 5pi/6)= 7pi/6

Answer: 5 pi/6 and 7 pi/6

You might be interested in

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

Read more about surface areas t:

brainly.com/question/25131428

5 0

2 years ago

Simplify 3n+6(-8n+9)

Sedbober [7]

Step-by-step explanation:

3n + 6( -8n + 9)

= 3n - 48n + 54

= - 45n + 54

Hope it will help

4 0

3 years ago

Read 2 more answers

Simplify the following expression <br> (X9 Y5) -4

KATRIN_1 [288]

Answer:

Step-by-step explanation:

$( x^{9} y^{5} )^{-4} \\x^{(9)(-4)} y^{(5)(-4)} \\x^{-36}y^{-20} \\\frac{1}{x^{36}y^{20}}$

3 0

3 years ago

Read 2 more answers

A box is 8 feet wide and 12 feet long. Vince uses 720 cubic feet of packing material to fill the half. What is the height of the

pychu [463]

8 times 12 is 96 and 720 divided by 96 is 7.5. Your answer is 7.5

7 0

2 years ago

Read 2 more answers

Sam is opening a saving account with $1,500 she got for her birthday. It

Artist 52 [7]

Answer:

9 years

Step-by-step explanation:

Simple interest for any amount p is given by

SI = P*R*T/100

where R is the rate of interest

T is the time period in years

given

P =$1500

R = 4%

T we have to find

SI = $540

Thus, putting the given value in SI = P*R*T/100

540 = 1500*4*T/100

T = 540*100/1500*4 = 9 years

Thus, It will take 9 years for Sam to earn $540

4 0

3 years ago