I need help please. Find 4 solutions of the equation (sin x)^2 = 1/4 for x between 0 and 360. Please show how you found it if not u will be reported.

Answers

Answer 1

Step-by-step explanation:

(sinx)²=1/4sinx=√1/4sinx =1/2sinx=sin30°x=30°

hope it helps.

Answer 2

Answer:

x = 30, 150, 210, 330 degrees.

Step-by-step explanation:

(sin x)^2 = 1/4

sin x = +/- √1/4

sin x = +/- /2

In the first quadrant  x =  angle whose sine is 1/2 = 30 degrees.

There is also a solution in the other 3 quadrants.

In second quadrant  where sine = 1/2  , x = 180-30 = 150 degrees,

In 3rd and 4th where sine x = -1/2 the angles are 210 and 330 degrees.


Related Questions

In July 2008, a forest fire near the Park Yosemite National burned about 53 miles squares of forest. If a square mile equals 640 acres, about how many acres of forest were burned?

Answers

Answer:

33,920 acres of forest were burned.

Step-by-step explanation:

In this case, since you know that a square mile is equal to 640 acres, you can use a rule of three to find the acres that are equivalent to 53 square miles:

    1 square mile    →    640 acres

53 square miles    →         x

x=(53*640)/1

x=33,920 acres

According to this, the answer is that 33,920 acres of forest were burned.

translate triangle p by the vector

Answers

Answer:

I need the whole question..

Step-by-step explanation:

Have a nice day!

Your lunch bill is L. You want to leave a 20% Tip. Write what expression could be used to show this situation.

A. L (1-0.2)
B. L (1+0.2)
C. 0.8L

Answers

Answer:

B

Step-by-step explanation:

B is correct.  That '1' represents the lunch bill.  That '0.2' represents the 20% top.  Total final bill is (1 + 0.20)L

Answer:

B. L (1+0.2) is the answer

5 divided by 3 1/3, by lowest point

Answers

Answer:

1.42

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

Step 1: convert 3 1/3 to improper fraction. Use thus rule a b/c=ac+b/c. 5 divided by 3x3x+1/3

step 2: simplify 3x3 to 9 5 divided by 9+1/3

Step 3: simplify 9+1 to 10. 5 divided by 10/3

Step 4: use the rule a divided by b/c=axc/b 5x3/10

Step 5: use this rule: axb/c=ab/c 5x3/10

Step 6: simplify 5x3 to 15 so 15/10

Step 7: simplify to 3/2

Last step: Convert to a mixed fraction.. Which would leave us with 1 1/2 or 1.5 in decimal form.

Hope this helps! :)

8x−10 ∘ +4x+52 ∘ =90 ∘

Answers

Answer:

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]

➳The value of x = 4.

Now, the value of the angles,

[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]

1 angle = 22°

[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]

2 angle = 68°

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

I need help with this math please I will give brainlist!!

Answers

Answer:

Step-by-step explanation:

Need help with this problem asap

Answers

Answer:

plug in the day to the equation:

November 1st is day 305, so November 24th would be day 328

y = 116.65 sin(0.02(328) +1.89) + 731.71

= 116.65 sin(8.45) + 731.71

= 828.247 minutes of daylight

13.8 hours or 13:48 (because .8 of an hour is ≈ 48 minutes)

x y -28 -54 21 -40 -14 -26 What is the y-intercept of the line?

Answers

Answer:

xkvkskzfkgkgxkzlalsdlfkhhogixix and plane with aloe and I am not able the him her it's a safe travels back in the morning t2858https://vm.tiktok.com/ZSJArEKey/digital marketing services the information you can I show up on the other side of natural resources to all religions and dad ❣️ the him and his wife of natural resources ko second ko slide the him I I i is a Loktantra is the Himalayan mountains and the Himalayan mountains and help out with the following link to Southwest airlines in summer and cold and plane with a are you sleeping bag of solar system and the and help them find you given any videos yet but it will be

Step-by-step explanation:

digkskzdk the him her i the him and plane and the him and his team and plane to Southwest Florida state university and I am a are you sleeping in summer and I will have to check gel and plane with a safe and sound the him i I I i I I I will have to Southwest airlines at a safe and secure the bookings for tiles wall deposited by the rivers


Factor the following quadratic function to find the zeros.

Answers

Answer:

Answer is A.

Step-by-step explanation:

x^2-15x-16

x^2+x-16x-16

x(x+1)-16(x+1)

(x+1)(x-16)=0

x=-1 and x=16

WET TEDDY BEARS, GET YOUR WET TEDDY BEARS

(Liberty Mutual)

Answers

Step-by-step explanation:

Hell yes, I'll take 5 please

Answer:

Yes! Wet teddy bears are fire! I'll take 4, pls!

Step-by-step explanation:

Kim namjoon kim seokjin min yoongi....
Finish it if you are army
Also tell me what other groups you Stan I want to know lol

Answers

JUNG HOSEOK PARK JIMIN KIM TAEHYUNG JEON JUNGKOOK BTS and I don’t stan any other groups lol but I am predebut army and Jungkook Stan since February 8th 2013! <3

Answer:

JUNG HOSEOK PARK JIMIN KIM TAEHYUNG JEON JUNGKOOK BTS!!!

Step-by-step explanation:

Also, I answered about 12 hours late but oh well lol.

I don't stan any other groups beside BTS. But I do casually listen to other kpop groups ofc :)

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease y=330(1.06)^x

Answers

Answer: Exponential growth. The growth rate is 6%

=======================================================

Explanation:

The general form of an exponential function is

y = a*b^x

where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.

We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.

Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%

This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.

You can burn about 500 calories if you run 5 miles. How
many miles will you need to run to burn 1,200 calories?
Justify your reasoning.

Answers

If you burn 500 calories in 5 miles that means for every 1 mile you run you burn 100 calories ...
So to burn 1200 calories you need to run 12 miles

hiii need help again thank youuu:)

Answers

Answer:

678.58 ft^3

Step-by-step explanation:

V=πr2h/3

25.12/12.5663706 = 1.99898608

1.99898608 X 3 = 5.99695826

h= 6ft

6/2 = 3

6 * 3 = 18

V = π * 6^ * 18/3

V = 678.584013

Find the measure of arc FV

Answers

Answer:

FV = 60

Step-by-step explanation:

VG => 65 × 2 = 130

FH major arc=> 119 × 2 =  238

FH major arc -  GH = FG

FG => 238 - 168 = 70

VG - FG major arc = FV

FV => 130 - 70 = 60

Answer:

60 degrees

Step-by-step explanation:

The measure of an inscirbed angle is half the measure of the intercepted arc.

(The measure of the arc is twice the measure of the angle!)

The inscribed angle at V  intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238.  Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.

The angle at H intercepts an arc with measure 2 x 65 = 130.  The measure of arc VFG is 130.  But arc FG is part of that, so subtract its measure from 130.  130 - 70 = 60.

The measure of arc FV is 60 degrees.

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?

6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)

Answers

The answer is A. 6(4a^2-3)

Answer:

A. 6(4a²-2)

Step-by-step explanation:

Got it correct… You’re welcome.

In hockey, Nick plays an average of 35 games per season. He finished the season with 47 goals. How many goals did he score per game?

Answers

Please answer my question andy
Nick would have scored about 1.34 goals per game.

47/35 = 1.34

Find the volume of the cylinder. Use 3.14 to approximate π. Round your answer to the nearest tenth.

V =

Answers

Answer:

V≈100.5

Step-by-step explanation:

V=πr2h=π·22·8≈100.53096

13. The following data are the amounts of
potassium, in grams, per serving in randomly
selected breakfast cereals.

I need help

Answers

3 Answers

Choice B) Billy misidentified the first quartile valueChoice C) Billy misidentified the medianChoice D) Billy misidentified the third quartile value

The correct box plot is shown below.

=====================================================

Explanation:

The first step when constructing a box plot is to sort the data from smallest to largest. That has already been done for us, so we can move to the next step.

For step 2, we need to find the median. This is the middle-most value. Write out all of the values on one horizontal line. Then cross off the first and last values. You'll end up with a smaller set, with two values tossed out. Repeat this process (cross off the first and last items) and keep doing this until you work your way toward the very middle position. There are 19 numbers in this list, which is an odd number, this means that the middle value is in slot 10 (note how 19/2 = 9.5 which rounds to 10). We have 9 values below the median and 9 values above the median. So 9+1+9 = 19 items total.

You should find that the value 55 is at slot 9, and at the very middle. So 55 is the median. Billy marked on the box plot that the median is at 50, so this is one mistake he made. Choice C is one of the answers

Note: the median is the vertical bar inside the box of the box-and-whisker-plot.

-----------------------------

Once you have the median, break the list into two halves like so:

L = {25,25,30,30,35,35,40,45,50}

U = {60,60,60,70,85,90,95,95,105}

L is the lower set of values smaller than the median, U is the upper set of values larger than the median. Set L and set U have 9 items each. Note the median of 55 is not part of set L nor is it part of set U either.

Repeat the process to find the median, but you'll do so on sets L and U separately. The median of set L is 35, so this is the value of Q1 or the first quartile.

The left edge of the box is the visual location of Q1. We can see that Billy marked Q1 at 30, but it should be at 35. So this is another mistake he made. Choice B is one of the answers

The median of set U is 85. We have four values below 85, and four values above 85 in set U. This makes Q3 to be 85. However, Billy marked the third quartile at 80 instead of 85. This is another mistake. Choice D is one of the answers.

--------------------------------

To summarize his 3 mistakes, they are:

He misidentified Q1  (Choice B)He misidentified the median (Choice C)He misidentified Q3 (choice D)

The good news is that he got the minimum correct because 25 is the smallest value. The min value is the left-most tip of the left whisker. The max is also in the correct location since 105 is the largest item. As you can probably guess, the max is located at the right-most tip of the right whisker.

See the attached image below to see how Billy should have drawn the box plot.

Tina would like to drink 64 ounces of water. How many quarts must she drink?

Answers

Answer:

4 quarts

Step-by-step explanation:

1 cup = 8 ounces

quart = 2 cups

So this is easy => just do 64/8 which is 8 cups

-------------------------------------------------------------

Then, you do 8 cups/2 to make quarts.

so answer is 4 quarts :)

help me pls :) i put a lot of points
if a_1=3 and a_n=(a_n-1)^2-5 then find the value of a_3

Answers

Answer:the value would be 6-10

Step-by-step explanation:

geometric sequence

Answer options:

A) an=7(2)n-1
B) an =3 (2) n-1
C) an=5 (2) n-1
D) an= 224(2)n-1
E) an = 6 (2) n-1

Answers

Answer will be A (I plugged it into the y= function on my graphing calculator... I replace n with x and then went to the table and went down to 6 under the x column)

The infield of a baseball diamond is shaped like a square. Each side is 90 feet long.

What is the area of the infield?

Answers

Answer:

8,100

Step-by-step explanation:

To get the area of a square you must multiply one length by width 90 x 90 = 8100

The area of the infield with each side 90 feet long is,

⇒ Area of the infield = 8100 feet²

What is mean by Multiplication?

The multiplication means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed by a process of repeated addition.

We have to given that;

The infield of a baseball diamond is shaped like a square.

And, Each side is 90 feet long.

Hence, The area of the infield is,

⇒ Area of the infield = side²

Here, We have;

Side of infield = 90 feet

Hence, We get;

⇒ Area = 90²

⇒ Area = 90 x 90 feet²

⇒ Area = 8100 feet²

Therefore, We get the correct answer is;

The area of the infield with each side 90 feet long is,

⇒  Area of the infield = 8100 feet²

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ2

thisssss??????????????

Answers

Answer:

Part A = 91.125in²

Part B = 8 boxes

Step-by-step explanation:

Work is underlined

Normal text = explanation

Hey There!

What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.

To find the volume of the supply boxes:

We are told that the supply box is in the shape of a cube.

That being said we can find the volume by using this simple formula

[tex]V=s^3[/tex]

where s = side length

The supply box has a side length of 4.5 so we just plug in 4.5 into the formula

[tex]V=4.5^3\\4.5*4.5*4.5=91.125[/tex]

So we can conclude that the volume of the supply box is 91.125 square inches.

Now to find the volume of the larger box.

The larger box is in the shape of a rectangular prism.

The volume of a rectangular prism can be found by multiply the width by the length by the height.

The box has the following dimensions:

width = 18 in

height = 4.5 in

length = 9 in

This means that the volume = 9 * 4.5 * 18

9 * 4.5 = 40.5

40.5 * 18 = 729.

so the volume of the larger box is 729 square inches.

Now we want to find how many little boxes can fit inside the larger box.

Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box

so # of supply boxes that can fit inside of the larger box = [tex]\frac{729}{91.125}[/tex]

Using a calculator: [tex]\frac{729}{91.125} =8[/tex]

Hence, 8 smaller boxes can fit inside of the larger box

A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
1.75 seconds B) 2.50 seconds C) 2.75 seconds D) 3.50 seconds

Answers

Answer:

1.75

Step-by-step explanation:

h(t) = -16t² + 56t

h'(t) = -32t + 56

To find time at max height equate h' to 0

0 = -32t + 56

t = 56/32 = 1.75 s

It takes 1.75 s to reach max highest point

Whats the área and circumference if the diameter is 10mm?

Answers

Answer:

78.54

Step-by-step explanation:

Answer:

Circumference of a circle in terms of radius:

Circumference = 2·π·r = 2·3.14·5 = 31.42 mm.(*)

In terms of diameter:

Circumference = π·d = 3.14·10 = 31.4 mm.(*)

In terms of area:

Circumference C = √4·π·A = √4·π·78.54 = 31.42 mm.(*)

Step-by-step explanation:

Note: For simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

PLZ ANSWER ASAP!
Alison and bruce want to buy a car. They sell their old car to the dealership for $5500. They also make a payment of $2300. They still owe 40% of the regular price of the car. What is the regular price of the car?

Answers

Answer:

50600

Step-by-step explanation:

40/100×5500

=2200×2300×100

=50600

If its right brainyest pls

Write the following percentages as a fraction in simplest form

Answers

answer: 241/4%
hope this helped

A restaurant sells curried cashew soup. On Monday the cook uses 3/5 of a bag of cashew. On Tuesday the cook uses ½ as any cashews as on Monday. What fraction of a bag of cashew does the cook use on Tuesday?

Answers

Answer:

The restaurant cooked 3/10 as many cashews on Tuesday

Step-by-step explanation:

If the word problem says that they used 3/5 of a bag of cashews on Monday, and they used 1/2 AS MANY.

So "as many" gives us a clue to multiply.

3/5 * 1/2 = 3/10

So the restaurant cooks 3/10 bag of cashews on Tuesday

Utilizando la semejanza de triángulos realiza el siguiente ejercicio:

Answers

Answer:

NC = 4

Step-by-step explanation:

BC/MN = AC/AN

25/15 = AC/6

15AC = 25 × 6

3AC = 5 × 6

AC = 5 × 2

AC = 10

AN + NC = AC

6 + NC = 10

NC = 4

Respuesta:

4

Explicación paso a paso:

BC/AN

MN:AC

⇒25/x= 15/6                     {Multiplicación cruzada}

15x=150

⇒AC=10

∵NC= AC-AN

∴NC=10-6 =4

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