pls solve the following math from trigonometry ​

Pls Solve The Following Math From Trigonometry

Answers

Answer 1

Step-by-step explanation:

[tex] \tan(2x) = 1.5[/tex]

Take the arc tangent,

[tex] \tan {}^{ - 1} ( \tan(2x) ) = \tan {}^{ - 1} (1.5) [/tex]

[tex]2x = 56.3[/tex]

[tex]x = 28.15[/tex]

b.

[tex](3 \cos(x) + 1)(2 \cos(x) + 3) = - 2[/tex]

[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 3 = - 2[/tex]

[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 5 = 0[/tex]

[tex]6 \cos {}^{2} (x) + 6 \cos(x) + 5 \cos(x) + 5 = 0[/tex]

[tex]6 \cos(x) ( \cos(x) + 1) + 5( \cos(x) + 1) = 0[/tex]

[tex](6 \cos(x) + 5)( \cos(x) + 1) = 0[/tex]

Set each factor equal to zero.

[tex]6 \cos(x) + 5 = 0[/tex]

[tex]6 \cos(x) = - 5[/tex]

[tex] \cos(x) = - \frac{5}{6} [/tex]

[tex]x = \cos {}^{ - 1} ( \frac{5}{6} ) [/tex]

[tex]x = 146.4[/tex]

For the second factor,

[tex] \cos(x) + 1 = 0[/tex]

[tex] \cos(x) = - 1[/tex]

[tex]x = 180[/tex]

So the answer for the second one is

146.4 and 180.


Related Questions

Choose the polynomial written in standard form. x2 4x4 10x6 x4 4x3 10x x7 4x3 10x4 x6 4x3 10x7

Answers

The polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

What is standard form of a polynomial?

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which the terms with higher exponents are written on left side to those which have lower exponents.

What are terms in polynomials?

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

[tex]x^3 + 3x +5[/tex]

is a polynomial consisting 3 terms as [tex]x^3, 3x \: \rm and \: 5[/tex]

Cheking all the options for them being in standard form or not:

Option 1: [tex]x^2 + 4x^4 + 10x^6[/tex]

Second term has 4 as exponent, but on its left, the first term has 2 as exponent. So higher expoent holding term is not on left. Thus, this polynomial is not in standard form.

Option 2: [tex]x^4 + 4x^3 + 10x[/tex]

4 > 3 > 1 (comparing the exponents), and the terms holding them are also in this order (left to right).

Thus, this polynomial is in standard form.

Option 3: [tex]x^7 + 4x^3 + 10x^4[/tex]

Not in standard form because the last term has bigger power then the term on its left.

Option 4: [tex]x^6 + 4x^3 + 10x^7[/tex]

Not in standard form because the last term has bigger power then the term on its left.

Thus, the polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

Learn more about standard form of a polynomial here:

https://brainly.com/question/15313798

helpp Its for calculus

Answers

Answer:

its 18

Step-by-step explanation:

Answer:

the answer is 18

Step-by-step explanation:

round to the nearest whole number

Answers

Answer:

SA = 527.52 cm²

Step-by-step explanation:

Cone SA = πr(r + √(h² + r²))

π = 3.14r = 7h = ?

Find h

Step 1. Create a right triangle with the radius (attached image)

Step 2. Pythagorean Theorem

a² + b² = c²

7² + b² = 17²

b² = 289 - 49

b = √240

b or h = 4√15

Solve for SA

SA = πr(r + √(h² + r²))

SA = 3.14 · 7 · (7 + √(4√15² + 7²))

SA = 21.98(7 + √(240 + 49))

SA = 21.98 (7 + 17)

SA = 527.52 cm²

Hope this helps!

can someone help me.​

Answers

Answer:

D. 75

Step-by-step explanation:

l = 15m

b = 5m

area of rectangle = l × b = 15 × 5 = 75 m²

Graph help fast!!!!!!!!!!1111

Answers

Answer:

(0,0)

(1,3)

(2,6)

(3,9)

(-1,-3)

(-2,-6)

(-3,-9)

Step-by-step explanation:

The equation of the graph is y=3x

Find the sum of the following series. Round to the nearest hundredth if
necessary
5 + 10 + 20 + ... + 163840
Sum of a finite geometric series:
ai
Sn
di — airon
1 - 1

Answers

Answer:

327675

Step-by-step explanation:

the formula of the series is:

16

∑5*2^(n-1)

n=1

the formula for the sum of a geometric series is:

Sn=a(1-r^n)/(1-r)

plug in the values from above

n=16 a=5 and r=2 (values from the geometric function) so

Sn=5(1-2^16)/(1-2)

Sn=327675

There was a blizzard. Snow was falling at a rate of 4 ½ inches per hour. If the snow kept accumulating at the same rate, how long would it take for 27 inches of snow to accumulate?

Answers

So just divide 27 by 4 1/2 or 4.5, you should get 6 so it would take 6 hours for the snow to get to 27 inches

Consider the equations y = 3x and y = -12- x.
Complete the table of values for the equation y = 3x.
Х
-7
-5
-3

Answers

Answer:

x | -7      -5     -3  

y | -21    -15    -9

Step-by-step explanation:

y = 3x

If x = -7  then y = 3 × (-7) = -21

  x = -5  then y = 3 × (-5) = -15

  x = -3  then y = 3 × (-3) = -9

Can someone help me? ill give brainlyest if u answer!!​

Answers

Answer:

Kiko was right.

Step-by-step explanation:

When a positive integer is multiplied by another positive integer, the product is positive. When a negative integer is multiplied by a positive integer, then the product is negative. The power should also be considered as well, since it can affect whether the integer is positive or negative depending on if it's even or odd.

Help, please! It's all in the screenshot

Answers

Answer:

cube root of 9. the third option

Step-by-step explanation:

x^3 = 9

we take the cube root of both sides.

so x = cube root of 9

Find the missing angle.

Answers

Step-by-step explanation:

Angles in a quadrilateral add to 360 degrees. So, x = 360-88-142-106=24 degrees

5 STARS ON YOUR ACCOUNT!!! AND COMMENTS AND A THANK YOU

Answers

Answer:

OPTION B

Step-by-step explanation:

1 cm=0.75 m

I hope it helped you

The polygons are similar. Find the value of x.
PLEASE HELP

Answers

Answer:

x = 30

Step-by-step explanation:

[tex]\frac{x}{21} =\frac{20}{14}[/tex]

[tex]x=\frac{(21)(20)}{14}=\frac{420}{14} =30[/tex]

Hope this helps

What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft

Answers

Answer:

48.5 ft

Step-by-step explanation:

 

What equation has the solution x=8?

Answers

Answer:

X/4 = 2


X=8

8 divided by 4 is 2 and 4x2 is 8


Evaluate the expression y-3+2 when x = 6 and y=8

Answers

Answer:

7

Step-by-step explanation:

Hey there!

In order to answer this question you need to substitute the "y-value"

As you can see, y=8 and we need to put 8 where there is y

8-3+2 is what the equation will look like

Now we can simplify

8-3 is 5 and 5+2 is 7

So your answer is 7

PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!

Answers

Answer:

b

Step-by-step explanation:

What is
8 divided by 4 (3-1)

Answers

Answer:

[tex]8 \div 4(3 - 1)[/tex]

let's follow BODMAS for solving this expression ~

the BODMAS rule states the order for solving a given question and the order lies in its full form which is as follows ~

B - brackets

O - of

D - division

M - multiplication

A - addition

S - subtraction

using the order , let's move to the expression given now ~

[tex]\dashrightarrow \: 8 \div 4(3 - 1) \\ \\ as \: the \: rule \: states \: , \: we \: will \: solve \: the \: brackets \: first \\ \\\dashrightarrow 8 \div 4(2) \\ \\ brackets \: again \\ \\ \dashrightarrow \: 8 \div 8 \\ \\ and \: finally \: divison \\ \\ \dashrightarrow \: 1[/tex]

hope helpful :D

The value of expression 8 divided by 4 (3-1) would be equal to 1

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 8 divided by 4 (3-1)

A negative divided by a negative is positive, therefore,

8 / 4 (3-1)

8 / 4(2)

8/8 = 1

Therefore, The value of 8 divided by 4 (3-1) is; 1

Learn more about division here:

brainly.com/question/26411682

#SPJ2

How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3? (4 points) None
One
Two
Infinitely many​​

Answers

Answer:

The answer is infinitely many.

Step-by-step explanation:

5x + 3(x − 1) = 10x − 2x − 3 is simplified to 0=0, which is infinitely many solutions.

-
4. Which shows the solution to the
inequality? 6(x-2) +21 <39

Answers


The answer is
The answer is x<5
6(x-2)<39-21
6x-12<18
6x<18+12
X<30/6
X<5

PLEASE HELP ANSWER
I will give 20 points

Answers

1) 9x^2 - 25
2) 36x^2 - 49
3) 16g^2 - 9
4) 81f^2 - 4

5) (10x - 1) (10x + 1)
6) (5k - 9) (5k + 9)
7) (8r - 7s) (8r + 7s)
8) (11 - 12x) (11 + 12x)

What is the measure of the given angle in radians​

Answers

Answer:

[tex]\frac{11\pi }{6}[/tex]

Step-by-step explanation:

To convert an angle from degrees to radians, you need to multiply the degrees by [tex]\frac{\pi }{180}[/tex].

[tex]\frac{330}{1}[/tex] × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{330\pi }{180}[/tex]

[tex]\frac{330\pi }{180}=\frac{11\pi }{6}[/tex]

6. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a height of 8 cm. The pyramid has a height of 14 cm. Find the volume of the composite space figure.

Answers

Answer:

V = 682.66667

Step-by-step explanation:

ANSWER ASAP PLS! WILL GIVE MAX PTS Three times x is 13 less than y. The sum of x and two times y is 12. Write two equations and graph to find the value of y.
Group of answer choices
y = -2
y = 2
y = 7
y = -7

Answers

Hello There!!

Solution For Given Question

Three times x is 13 less than y

[tex]3x = y - 13 \\ = > 3x + 13 = y[/tex]

The sum of x and two times y is 12.

[tex]x + 2y = 12[/tex]

Replacing Value of Y with 3x + 13

[tex]x + 2y = 12 \\ \\ \implies x + 2(3x + 13) = 12 \\ \\ \implies x + 6x + 26 = 12 \\ \\ \implies7x = 12 - 26 \\ \\ \implies 7x = - 14 \\ \\ \implies x = \cancel\frac{ - 14}{7} \\ \\ \implies x = - 2[/tex]

Now we need to fine Value of'y' i e.,

[tex]y = 3x + 13 \\ \\ \implies y = 3( - 2) + 13 \\ \\ \implies y = - 6 + 13 \\ \\ \implies y = 7[/tex]

[tex] \therefore \text{option c.(y = 7) is your answer}[/tex]

Hope this helps

Find the 7th term of the geometric sequence.
14, 28, 56, ...

Answers

Answer:

The 7th term is 896

Step-by-step explanation:

= ar^n-1

a = 14

r = 28/14

= 2

n = 7

= 14 X 2 ^ 7-1

= 14 X 2 ^ 6

= 14 X 64

= 896

Tommy ran 15.4 miles in 7 days. How many miles did Tommy run per day

Answers

Tommy ran 2.2 miles a day.

15.4/7 = 2.2

CAN SOMEONE HELP ME 50 POINTS

What are m∠1 and m∠2?


A. ∠1 = 30°, m∠2 = 35°
B. ∠1 = 35°, m∠2 = 30°
C. ∠1 = 65°, m∠2 = 60°
D. ∠1 = 85°, m∠2 = 80°

Answers

The correct answer for a question like this is B.

What is the length of the parks boundary to the nearest yard

Answers

hmmm taking a peek at the triangles inside the park, hmmm let's notice both triangles have all interior angles of 60°, meaning the triangles are equilateral both, so all sides are equal, since we know one side is 50 yards, well, all sides are 50 yards, so the top and bottom straight-lines are both 50 each.

looking at the left and right sides, hmmm those are just sectors of a circle, both have a radius of 50 yards and a central angle of 120°.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=50\\ \theta =120 \end{cases}\qquad \implies s=\cfrac{(120)\pi (50)}{180}\implies s=\cfrac{100\pi }{3} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{straight~lines}{2(50)}~~ + ~~\stackrel{circular~lines}{2\left( \cfrac{100\pi }{3} \right)}\implies 100+2\left( \cfrac{100(3.14) }{3} \right)~~\approx~~309~yards[/tex]

50 POINTS PLEASE ANSWER!

Answers

Solve it through arithmetic sequence

First term=a=17Common difference=d=-3

Rule is

a_n=a+(n-1)d=17-3(n-1)

So

a_2=17-3=14a_3=17-6=11a_4=17-9=8

Answer:

[tex]14 \\ 11 \\ 8[/tex]

ANSWER PLEASE LINKS , SPAM , OR WRONG ANSWER WILL BE REPORTED AND DELETED 100 POINTS TO ANSWER AND YOU WILL GET BRAINLIEST PLEASE DONT WASTE YOUR TIME AND SEND LINKS , SPAM. OR WRONG ANSWER !!!!! HAVE A BLESSED NIGHT/DAY

Answers

Answer:

Area of polygon = 42.63 mm²

Step-by-step explanation:

Given:

L = 8.7 mmW = 4.9 mm

To find the area of the polygon (rectangle), multiply the length with the width.

⇒ Area of polygon = LW

Substitute the values into the area:

⇒ Area of polygon = (8.7)(4.9)                                [L = 8.7 mm; W = 4.9 mm]

Area of polygon = 42.63 mm²

l=8.7mmw=4.9mm

As it's a rectangle

Area:-

Length×Breadthlw8.7(4.9)42.6mm^2
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