solve for 'x' given that;

3 sin( 3x-20°) = 2 for 0° ≤ x ≤ 180°​

Answers

Answer 1

Answer:

x ≈ 20.6°

Step-by-step explanation:

3 sin( 3x-20° ) = 2 → sin( 3x-20° ) = ⅔ → 3x - 20° = arcsin(⅔) → 3x = 20° + arcsin(⅔) →

x = ⅓(20° + arcsin(⅔)) , arcsin(⅔) = 41.81°

x = ⅓( 20° + 41.81° ) = ⅓(61.81°) ≈ 20.6°


Related Questions

Choose Yes or No to tell whether the pairs of angles are congruent.

1. Alternate interior angles (Yes or No)

2. Corresponding angles
(Yes or No)

3. Same-side interior angles
(Yes or no)

Answers

number 1 is a yes
number 2 is yes
number 3 is yes

7.
The width of a rectangle is 33 centimeters. The perimeter is at least 776 centimeters.
a. Write and solve an inequality to find the length of the rectangle.
b. Write an inequality to find the area of the rectangle in square centimeters.


A. 2(33) + 2ℓ ≤ 776; ℓ ≤ 355; A ≤ 33(355)


B. 2(33) + 2ℓ ≥ 776; ℓ ≥ 335; A ≥ 33 + 335


C. 33 + ℓ ≥ 776; ℓ ≥ 743; A ≥ 33(743)


D. 2(33) + 2ℓ ≥ 776; ℓ ≥ 355; A ≥ 33(355)

Answers

Answer:

D. 2(33) + 2ℓ ≥ 776; ℓ ≥ 355; A ≥ 33(355)

Step-by-step explanation:

Answer:

Width of the rectangle is given to be 33 centimeters

Let the Length of the rectangle be x centimeters

So, Perimeter of rectangle is given by formula : Perimeter = 2 × (Length + Width)

⇒ Perimeter = 2 × (x + 33)

⇒ Perimeter = 2x + 66

Now, The perimeter of the rectangle is at least 776 centimeters

⇒ Perimeter > 2x + 66

⇒ 776 > 2x + 66

⇒ 2x < 710

⇒ x < 355

So, The length of the rectangle must be less than 355 cm

⇒ Area of the rectangle < 355 × 33

⇒ Area of the rectangle < 11715 cm²

Let ​f(x)=x2+3x−10​. Enter the x-intercepts of the quadratic function in the boxes. x = and x =

Answers

Answer:

X= 2.

X= -5.

Step-by-step explanation:

Hope it was helpful ;)

about pythagorean theorem, really need help!

Answers

A: third one

B: second one

C: second one

D: second one

Liz earns a salary of $2,300 per month, plus a commission of 4% of her sales. She wants to earn at least $2,800 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal. The inequality that represents the situation is + s (select) . s = (select)

Answers

Answer:

2,300 + 0.04 ≥ 2,800

Step-by-step explanation:

A box containing oranges weighs 60kg. The empty box weighs 7.5kg. If the average weight of an
orange is 75g, how many oranges are there in the box?​

Answers

Answer: 700 oranges

Step-by-step explanation: mass of box is reduced first.

Mass of oranges is 60 kg -7.5 kg = 52.5 kg

Mass or oranges is divided by mass of one orange 75 g = 0.075 kg.

52.5 kg/0.075 kg= 700

Why can’t we just count the boxes to find the area of the circle?

Answers

The area of a circle is almost always a decimal - it's hard to fit squares inside a round shape! We can't count the squares to find the area of a circle, we need to use a formula instead.

Which is the answer. A B C D?

Answers

The answer should be A.

HELP ASAP DONT ANSWER IF YOU DONT KNOW

Answers

Answer:

The answer is D

Step-by-step explanation:

If you look at image you can see that is is on both lines but you always start on the origin (the middle) and go left or right to get your first number. which is 6 next you'll start at the origin and go up and down, once you stop at where you're positive the dot is place the two numbers together and you got your answer (6,-4)

The volume of a spherical balloon is 950 cm". Find the radius

of the balloon. (Volume of a sphere = -1R3).

Answers

Answer:

the radius of the balloon is 5 feet

PLZ HELP!!! QUESTION IS BELOW! EXPLAIN YOUR ANSWER :D

Answers

Answer:

172.12 in²

Step-by-step explanation:

Consider the figure as 3 parts: semicircle with radius of 4 in, rectangle with 7x9 in and rectangle 6x14 in.

Area of semicircle:

A = 1/2*πr² = 1/2*3..14*4² = 25.12 in²

Area of rectangles:

7*9 = 63 in²6*14 = 84 in²

Total area:

25.12 + 63 + 84 = 172.12 in²

A parabola has a vertex at (-6, 2) and opens down. Which of the following represents the
equation of the axis of symmetry for this parabola?

Answers

Answer:

I don't see any choices but I think the axis of symmetry is x=-6.

Step-by-step explanation:

will mark the brainliest

Answers

Answer:

about $66.68

Step-by-step explanation:

please give brainliest

Answer:

670.32

Step-by-step explanation:

14 x 12 x 8 = 752

752 - 90 = 84

84 x 7.98 = 670.32

Give me Brainllest

You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount (This is not multiple choice, you need to do a, b, and c)
a. $250
b. $300
c. $350
** Round to the NEAREST whole number**

Answers

B I really believe you just got to read it carefully
B your answer would be that you have 300 left

convert 0,6 to percentage​

Answers

Answer:

6/10 is the percentage form of 0.6

Answer:

0,6 to a percentage is 60%.

I hope this helps

In ΔKLM, l = 56 inches, k = 27 inches and ∠K=10°. Find all possible values of ∠L, to the nearest degree.

ANSWER
21

and 159

Answers

Answer:

21 or 159 degrees

Step-by-step explanation:

Answer:

21, 159

Step-by-step explanation:

see attatched image

what is the slope and y-intercept? write the equation. this is finally the last problem on my homework

Answers

(y2-y1)/(x2-x1)

3-2=1

4-2=2

slope: 1/2

y-int: 1

y=1/2x+1

Answer:

Slope=1/2, y-intercept=(0,1)

Step-by-step explanation:

Slope is written in the format of Y/X. If you look at the pattern, you'll notice that every time Y goes up 1, X goes up 2.

So, 1/2.

The y-intercept is where the line crosses the y-axis and is therefore when X is equal to 0. Following the pattern, this would be when Y is equal to 1.

(0,1)

Hi! Please explain how you got the answer, thanks! :))​

Answers

Answer:

2000

Step-by-step explanation:

1996: 30+5 5×6=30

2000: 60+10 10×6=60

plz help and pls dont give me no website pls

Answers

Answer:

x=7

Step-by-step explanation:

In a parallelogram, you know that parallel sides are equal in length, therefore, x+4 must equal 5x-24.  From there you solve for x.

x+4 = 5x-24

28 = 4x  (subtract x from both sides and add 24 to both sides)

7=x   (28 divided by 4 is 7).

Answer:

Here you go, please mark brainliest for my effort! Thanks!

Step-by-step explanation:

5x - 24 and x + 4 are equal in length, so set them equal to each other.

5x - 24 = x + 4

Subtract x on both sides.

4x - 24 = 4

Now, add 24 to both sides.

4x = 28

Finally, divide both sides by 4.

x = 7

So the answer is x = 7

Don't forget to mark brainliest!

Monica’s retirement party cost two dollars, plus an additional three dollars for every guess she invites. If there are 16 guests, how much will monica’s retirement party cost

Answers

Answer:

TWO BUCKS?? ballin on a budget

anyways, if there are 16 guests, the party would cost $50. sounds a lot more correct lol

Name this figure

A. Rhombus
B. Rectangle
C. Square
D. Parallelogram


HELP ME PLEASE NOW !!

Answers

Answer: D.  Parallelogram

Step-by-step explanation:

This would be a parallelogram.

what is the area of the white boarder? 2cm 8cm 9cm 15cm​

Answers

do you have a picture of the border?

Answer: ya do you have picture

Step-by-step explanation:

A plastic puzzle in the shape of a triangular prism has bases that are equilateral triangles with side
lengths of 4 inches and a height of 3.5 inches. The height of the prism is 6 inches. Find the volume of
the prism.

Answers

42 inches cubed i believe

Trinity and Peyton were collecting box tops for their class. Trinity collected 36 box tops. Peyton collected
1 ½ times as many. How many cans did they collect all together?

Answers

Note: We need to find the number of total box tops instated of total number of cans.

Given:

Trinity collected 36 box tops.

Peyton collected [tex]1\dfrac{1}{2}[/tex] times as many as Trinity.

To find:

The number of box tops they did collect all together.

Solution:

It is given that,

Number of box tops collected by Trinity = 36

Number of box tops collected by Peyton = [tex]1\dfrac{1}{2}\times 36[/tex]

                                                                    = [tex]\dfrac{3}{2}\times 36[/tex]

                                                                    = [tex]54[/tex]

Total = [tex]36+54[/tex]

        = [tex]90[/tex]

Therefore, the total number of box tops collect all together is 90.

PLz help me thx!!! jenny bought gas for her car gas costs $2.55 per gallon jenny bought 13.8 gallons. What was the total cost for her gas????

Answers

Answer:

35.19

Step-by-step explanation:

2.55=1 gallon

2.55*13.8=35.19

Answer:

35.19

Step-by-step explanation:

i hope it is going to help you.

HELP. No bots allowed.

Answers

Answer:

June, Mitchell and Nick are the ones who drew the line of symmetry correctly because if you were to cut that in half, both sides remain the same shape and size.  Stephanie, Liz, and Brandon are wrong because if you cut that you get different shapes and sizes, they will not be identical.

Answer:

June did

Step-by-step explanation:

Symmetry is when both side are the EXACT SAME!!! June is the only one who has done it correctly

What is an equation of the line that passes through the points (-1,3) and
(-1, 6)?

Answers

Answer:

x=-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(-1-(-1))

m=3/(-1+1)

m=3/0

slope is undefined.

x=-1

Put these numbers in order, from least to greatest. If you get stuck, consider using the number line. with a picture

Answers

Answer:

Step-by-step explanation:

When we proceed from left to right on a number line, numbers get bigger.

That means (-5) on the given number is the least and 5 is the greatest.

By this rule, order of the numbers will be,

-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8

Now we can place these numbers on the number line as shown.

You deposit $500 in an account that pays 4% interest compounded yearly. What is the balance after 5 years?

Simplify ALL of the way and round to the NEAREST whole number

Answers

Answer:

$562.43

Step-by-step explanation:

The table represents some points on the graph of a linear function.
Х
-1
5
7
11
у
6
3
2.
o
What is the rate of change of y with respect to x for this function?
2
O
2
-2

Answers

Answer:

should i provide formula

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