BRAINLIEST!!!
19. Solve

BRAINLIEST!!!19. Solve

Answers

Answer 1

Answer:

Θ = 0, π, [tex]\frac{7\pi }{6}[/tex], [tex]\frac{11\pi }{6}[/tex]

Step-by-step explanation:

Using the identity

cos2Θ = 1 - 2sin²Θ, then

sinΘ + 1 = 1 - 2sin²Θ ( subtract 1 - 2sin²Θ from both sides )

2sin²Θ + sinΘ = 0 ← factor out sinΘ from each term

sinΘ(2sinΘ + 1) = 0

Equate each factor to zero and solve for Θ

sinΘ = 0, hence

Θ = [tex]sin^{-1}[/tex] (0) = 0, π, 2π

2sinΘ + 1 = 0 → sinΘ = - [tex]\frac{1}{2}[/tex] , thus

Θ = [tex]sin^{-1}[/tex] ( - [tex]\frac{1}{2}[/tex] ) = - [tex]\frac{\pi }{6}[/tex]

Since sinΘ < 0 then Θ is in third/ fourth quadrants, thus

Θ = π + [tex]\frac{\pi }{6}[/tex] = [tex]\frac{7\pi }{6}[/tex] or Θ = 2π - [tex]\frac{\pi }{6}[/tex] = [tex]\frac{11\pi }{6}[/tex]

Solution is

Θ = 0, π, [tex]\frac{7\pi }{6}[/tex], [tex]\frac{11\pi }{6}[/tex] for 0 ≤ Θ < 2π


Related Questions

What is the area of the parallelogram shown below

Answers

Answer:

16

Step-by-step explanation:

The area of a parallelogram is b * h, where b and h are the base and height respectively. We know the base but not the height. However, we see a right triangle that has the height and 3 as legs and 5 as the hypotenuse. Pythagorean Triples tell us that the height is 4 and the area will be 4 * 4 = 16 sq. units. Hope this helps!

Answer: 16

How you answered that: I just heard people don't know this answer. So, i hope this helps!

Walter has 1/4 of a yard of string. He used 3/5 of it on a school project. How much string did he use?

Answers

Answer:

3/20 or .15

Step-by-step explanation:

You need to find 3/5 of 1/4, so you need to multiply

3/5*1/4= 3/20

3/20 or .15

Explain, with a test, why the two triangles in each figure are similar. Find the
unknown lengths.

Answers

Answer:

x = 3, y = 6

Step-by-step explanation:

In the figure attached,

If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.

By this property,

[tex]\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}[/tex]

[tex]\frac{AB}{AD}=\frac{AC}{AE}[/tex]

[tex]\frac{AD+BD}{AD}=\frac{AE+EC}{AE}[/tex]

[tex]\frac{3}{2}=\frac{x+1.5}{x}[/tex]

3x = 2x + 3

3x - 2x = 3

x = 3

Similarly, [tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]

[tex]\frac{3}{2}=\frac{y}{4}[/tex]

y = [tex]\frac{3\times 4}{2}[/tex]

y = 6


Question:
If each girl used one marshmallow per smore how many marshmallows were used in all? Show your work.

Answers

Answer:

x= number of girls

y= total

Step-by-step explanation:

y= 1x

y= 1(5)

y= 5 marshmallows

Supplementery Angle (2x+30)+(2x-10)=180

Answers

Answer:

x=50

Step-by-step explanation:

Simplifying

x = 50

2. The lengths of two insects are given below.
Ladybug: 10 millimeters
Walking stick: 30 centimeters
What is the difference in length of these two insects in millimeters
A 70 mm
B 20 mm
C 290 mm
D 2,990 mm

Answers

The conversion rate of millimetres to centimetres is 10 = 1 (Meaning 10 millimetres will equal one centimetre).

Knowing this, we can convert the centimetres to millimetres by multiplying by 10.

30 x 10 = 300

So a walking stick is 300 millimetres long.

To find the difference, we need to subtract the larger number from the smaller one.

300 - 10 = 290

Therefore the answer is 290mm.

Hope this helps! :)

help help help help plz

Answers

Answer: (5, 12, 13).

Step-by-step explanation:

Pythagorean triples are any three side lengths of a right triangle that are all whole numbers.

The most common triples are (3, 4, 5), (5, 12, 13), and (9, 40, 41).

You can test the options given in the Pythagorean theorem to see if they make the theorem correct.

25 + 64 = 100 is not correct.

9 + 16 = 36 is not correct.

25 + 144 = 169 is correct.

1 + 1 = 4 is not correct.

The correct choice is (5, 12, 13).

Answer:

[tex](5 \:, \: \: 12 \: , \: \: \: 13)[/tex]

Third answer is correct

Step-by-step explanation:

PYTHAGORAS theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Let's take one by one.

1)(5,8,10)

[tex] {5}^{2} + {8}^{2} = {10}^{2} \\ 25 + 64 = 100 \\ 89 = 100[/tex]

No,it's not correct.

2)(3,4,6)

[tex] {3}^{2} + {4}^{2} = {6}^{2} \\ 9 + 16 = 36 \\ 25 = 36 [/tex]

No, it's not correct.

3)(5,12,13)

[tex] {5}^{2} + {12}^{2} = {13}^{2} \\ 25 + 144 = 169 \\ 169 = 169[/tex]

Yes,it's correct

4)(1,1,2)

[tex] {1}^{2} + {1}^{2} = {2}^{2} \\ 1 + 1 = 4 \\ 2 = 4 [/tex]

No, it's not correct

SO, IT'S CLEAR THAT THE CORRECT ANSWER IS THE THIRD ANSWER

hope this helps

brainliest appreciated

good luck! have a nice day!

is this right
the task: Set up and solve an equation to find the value of .
my answer :X = 360 -( 123 + 90)
X = 147

Answers

Answer:

360 = x+123+ 90

x = 147

Step-by-step explanation:

The three angles form a circle which is 360 degrees

360 = x+123+ 90

Subtract 123 and 90 from each side

360 -123 - 90 = x

147 = x

X = 360 - ( 123 + 90 )
X = 360 - 213
X = 147

what is the missing constant term in the perfect sqaure that starts with x^2 - 4x

Answers

Answer:

The expression is; x^2 – 4c + 4

Step-by-step explanation:

For the expression to be a perfect square, let us say the constant term should be assigned as ⇒ c;

This creates of following expression;

x^2 - 4x + c

In order to be a perfect square, the discriminant needs to be zero ;

( - 4 )^2 - 4 * ( 1 )c = 0 ,

16 – 4c = 0 ,

4c = 16 ,

c = 4 ,

Solution; The expression is, therefore; x^2 – 4c + 4

a line with a slope of 1/2 passes through the point (2, -1) what is the Equation of the line​

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

Hope this helps!

Round 4.778 to the nearest hundredth

Answers

Answer:

4.778 to the nearest hundredth is 4.78

Step-by-step explanation:

Answer: 4.78

Step-by-step explanation: Find the number in the hundredth place, 7 and look one place to the right for the rounding digit 8. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Please mark me brainliest :)

Find the volume of the figure.
10 cm
8 cm
10 cm
14 cm
10 cm
8 cm
n. cubic centimeters​

Answers

Answer:

42^2 is your answer.

Step by step:

add the numbers together and cube it= that will equal your answer

Which expressions have the same solution as –4(6)? Check all that apply.
A.–4(– 6) B.4(– 6) C.6(– 4) D.–8(2) E.12(– 2)

Answers

Answer:

B, C and E

Step-by-step explanation:

To get the expressions that have the same solution as the given expression;

first, we need to get the result of the given expression.

-4(6) = -4 * 6

-4(6) = -24

the next step is to test each of the given options.

A.

-4(-6) = -4 * -6

-4(-6) = 24

B.

4(-6) = 4 * -6

4(-6) = -24

C.

6(-4) = 6 * -4

6(-4) = -24

D.

-8(2) = -8 * 2

-8(2) = -16

E.

12(-2) = 12 * -2

12(-2) = -24

From options A through E,

option B,C and E have the same result as the expression in the question

Answer: B C E

Step-by-step explanation:

ANSWER ASAP! EASY! I GIVE BRAINLIEST!​

Answers

Answer:

B

Step-by-step explanation:

One intersection

Answer:

C

Step-by-step explanation:


A store sells a 1 1/4 pound package of turkey for $9.

​What is the unit price of the turkey in the package?

Answers

Answer:

$7.20

Step-by-step explanation:

The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!

Unit price is the price when something is $1, so what you need to do is 9/1.25. The answer is $7.20, so that is the unit rate. I hope this helps.

What type of triangle, if any, can be formed with angle measures of 32, 126, and 32


-only an acute isosceles triangle

-either an acute isosceles triangle or an obtuse isosceles triangle

-no triangle

-only an obtuse isosceles triangle

Answers

Answer:

No triangle

Step-by-step explanation:

All triangles must have angles that measure up to 180 degrees. When you add 32, 32, and 126 you get 190. That means that no triangle can be formed.

I hope this helps!

What is the measure of an interior
angle of a regular 16-gon?

Answers

Answer:

Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘ ???

Step-by-step explanation:

Answer:

It’s 157.5

Step-by-step explanation:

Please explain your work!

Answers

Answer:

4.5

Step-by-step explanation:

you do PEMDAS

you divide 1 by 4

then multiply it by 6

then 6 minus 1.5 is 4.5

i may be wrong

select a setting so that each point will lie within the viewing window, (-11,5),(0,-4),(0,-7)

Answers

Answer:

Each given point will lie within the viewing window, [tex]Xmin=-12[/tex], [tex]Xmax=1[/tex], [tex]Xscl=1[/tex], [tex]Ymin=-8[/tex], [tex]Ymax=6[/tex], [tex]Yscl=1[/tex].

Step-by-step explanation:

The given points are (-11,5),(0,-4),(0,-7).

Here, the minimum values of x is -11 and maximum value of x is 0.

It means [tex]Xmin[/tex] must be less than -11 and [tex]Xmax[/tex] must be greater than 0.  

The minimum values of y is -7 and maximum value of y is 5.

It means [tex]Ymin[/tex] must be less than -7 and [tex]Ymax[/tex] must be greater than 5.  

Therefore, each given point will lie within the viewing window

[tex]Xmin=-12[/tex]

[tex]Xmax=1[/tex]

[tex]Xscl=1[/tex]

[tex]Ymin=-8[/tex]

[tex]Ymax=6[/tex]

[tex]Yscl=1[/tex]

Note: For this question many answers are possible.

Factor this polynomial completely.
x2 + 3x - 18

Answers

Answer:

[tex] \boxed{(x + 6)(x - 3)} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} + 3x - 18 \\ \\ = > {x }^{2} + (6 - 3)x - 18 \\ \\ = > {x }^{2} + 6 x - 3x - 18 \\ \\ = > x(x + 6) - 3(x + 6) \\ \\ = > (x + 6)(x - 3)[/tex]

Answer:

(X-3)(x+6)

Step-by-step explanation:

THE PERSON WHO PAID $7.99 WAS EITHER THE PERSON WHO HAD THE ICED TEA OR THE PERSON WHO HAD THE WATER

Answers

Answer:

Iced Tea

Step-by-step explanation:

water is not normally 7.99$ so i'm guessing Iced tea depending on the fact that it could be a large or extra large which could get to the total of 7.99$

Ms.Nichols math group earned the following grades in math for geometry: 88, 65, 60, 42 , 55, 58, 88, 90 and 85
SHOW YOUR WORK .

Answers

Answer:

What kind of answer are you looking for? The Median, the average?

Step-by-step explanation:

Answer:

70.11111111

Step-by-step explanation:

88+65+60+42+55+58+88+90+95=631

631/9=70.11111111

4×[tex]10^{3}[/tex] times what number is equal 16×[tex]10^{5}[/tex]?

Answers

4000 (4x10^3) times 400 (4x10^2) is equal to 16x10^5 ( 1,600,000)

What are the zeros of the polynomial function F(x) = x3 - 5x2 - 6x?

Answers

Answer:

The zeros are {2, 3}

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:  

F(x) = x^3 - 5x^2 - 6x

Factoring out x, we get:

F(x) = x(x^2 - 5x - 6)

Factoing the quadratic, we get:

F(x) = x(x - 3)(x - 2) = 0

The zeros are {2, 3}

a student rents an apartment for the acdemic year(two semester) with three friends. The rent for the entire academic year is 10,080. Each semester, the student receives a bill for his share of the rent. if he and his friends divide the rent equally, how much must he pay each semester?​

Answers

$1260

10,080/2= 5040
5040/4= 1260

first right answer gets 10 points

Answers

Answer:

Base: 16 cm

Height: 48 cm

Step-by-step explanation:

Let's call the length of the base b, and the length of the height h. Since the formula for the area of a triangle is bh/2, you can set up the following equations:

[tex]h=3b\\\dfrac{bh}{2}=384\\ \dfrac{b(3b)}{2}=384\\\dfrac{3b^2}{2}=384\\3b^2=768\\b^2=256\\b=16\\h=16\cdot 3=48[/tex]

Hope this helps!

What is the decimal expansion of the following fraction?
1/16
___
A. 0.0625


B.1.16


C. 0.0625


D.0.16

Answers

Answer:

C

Step-by-step explanation:

just divide 1 by 16

When working in trigonometry, you typically measure angles in

Revolutions
Radians
Degrees
Arc Length

(100 points)

Answers

Answer:

When working in trigonometry, you typically measure angles in.....

RADIANS

Answer:

RADIANS!!!

Step-by-step explanation:

Given the following Venn diagram, choose the correct set for .



{2, 3, 5, 6, 8, 9}
{2, 5, 6, 8}
{2, 5, 8}

Answers

Answer:

{2, 3, 5, 6, 8, 9

Step-by-step explanation:

What is the volume in cubic inches of the right rectangular prism with a length of 5 inches a width of 8 inches, and a height of
20 inches?

Answers

Answer:

800 [tex]in^{2}[/tex]

Step-by-step explanation:

Volume = lwh

Answer:

800 in^{2}

Step-by-step explanation:

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