3. Let sin 21 = 0.358. What is the value of x for cos x=0.358?

Answers

Answer 1

Answer:

[tex]\cos(69)[/tex]

Step-by-step explanation:

We will use the co-function identity for sine, where:

[tex]\sin(x)=\cos(90-x)[/tex]

Since sin(21)=0.358=cos(x). This means that:

[tex]21=90-x[/tex]

Solve for x. Add x to both sides:

[tex]x+21=90[/tex]

Subtract 21 from both sides:

[tex]x=69\textdegree[/tex]

Hence:

[tex]\sin(21)=\cos(69)\approx0.358[/tex]


Related Questions

A basketball team played six games. In those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. What is the mean amount by which the team won or lost over the six games?

Answers

Answer:

2

Step-by-step explanation:

Evaluate This Question

Answers

Option D or 6 is the correct answer:)

2 cadenas de operaciones distintas cuyo resultado sea 325 utilizando las 4 operaciones básicas

Answers

Answer:

Dos cadenas de operaciones matemáticas distintas, cuyo resultado sea 325 utilizando las 4 operaciones básicas (suma, resta, multiplicación y división) pueden ser las siguientes:

((2 + 8) / 2) x 65 = 325

10 / 2 x 65 = 325

5 x 65 = 325

325 = 325

((300 / 10) x 15) - 130 + 5 = 325

(30 x 15) - 130 + 5 = 325

450 - 130 + 5 = 325

325 = 325

The 2 different chains of operations resulting in 325 using the 4 basic operations are;

[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]

and;

[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]

According to the question, we are to find 2 different chains of operations resulting in 325 using the 4 basic operations.

The four basic operations are addition(+), subtraction(-), division(÷) and multiplication (×).

One of the chains of operation will be:

[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]

Another chain of reaction will be:

[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]

Learn more here: https://brainly.com/question/22224175

To find the quotient 2/5 divided 1/4,

A. Multiply 5/2 by 4
B. Multiply 2/5 by 1/4
C. Multiply 5/2 by 4
D. Multiply 5/2 by 4
HELP ME PLEASEEEE 20 POINTS AND BRAINLY HAAAALP

Answers

Answer:

None of the choices are correct.

Step-by-step explanation:

To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction.

2/5 divided by 1/4 = 2/5 times 4/1 = 2/5 times 4

Correct answer: Multiply 2/5 by 4

Answer: None of the answers are correct.

Answer:

None

Step-by-step explanation:

5.03)
Factor x2 - 4x + 5. (4 points)

Answers

Answer:

(x + 5) (x - 1)

You spend half of your money on a movie ticket. Then you spend half of what you have left to buy a large popcorn. Then you spend half of what remains to buy a small drink. Which expression equals the fraction of money you have left?​

Answers

Answer:

1/8

Step-by-step explanation:

1 divided by 2 = 1/2

1/2 divided by 2 = 1/4

1/4 divided by 2 = 1/8

help me pls thank you

Answers

Answer:

discrete

Step-by-step explanation:

This graph is discrete. A discrete graph has separate values, which are represented by multiple unconnected points. In continuous graphs, the values are all connected to each other. If this graph was continuous, then we would see a line rather than separate dots. The graph can also not be neither continuous nor discreet because it passes the vertical line test, meaning that it is a function.

Hope this helps :)

plsss help me:(! Write a real world problem for each inequality 5x – 50 100

Answers

Answer:

Ed had 5 books and each book had 100 pages and it takes him 50 mins to read each book how many books can he read in a day?

sorry if it's not good I try.

Step-by-step explanation:

What is 5-4 in the quadratic

Answers

Answer:

1

Step-by-step explanation:

The point is located in the first quadrant because x and y are both positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right.

What’s the slope
Please help

Answers

Answer:

it's 8/7

Step-by-step explanation:

if you go up 8 and over 7 you get to your next point. remember its rise over run, y/x

Answer:

8/7

Step-by-step explanation:

If you go up 8 and over 7 you get to your next point. remember its rise over run, x/y

What is the expression of 22x(4+3+1)

Answers

The answer is 176x because you add 4+3+1 which is 8 than do 8x 22x

Answer:

176x

Step-by-step explanation:

Step 1. Add the numbers

22x(4+3+1)

22x(8)

Step 2. Multiply the numbers

22x times 8= 176x

Help please .........

Answers

Answer:

50%, 20%, 36%

Step-by-step explanation:

A: 2012=190, 2014=285. 95 more students. 95 is half of 190.

B: 2014=285, 2015=228. 57 less students. 57 is 20% of 285.

C: 2013=210, 2014=285. 75 more students. 75 is roughly 36% of 210.

GIVING OUT BRAINLIEST TO FIRST ✅CORRECT✅ ANSWER

Answers

Answer:

1,-5 and -1,-3

Step-by-step explanation:

Find the difference: 3/10 - 1/6

Answers

Answer:

2/15

Step-by-step explanation:

10 = 2 * 5

6   = 2 * 3

LCM of 10 , 6 =  2 * 3 * 5 = 30

[tex]\frac{3}{10}-\frac{1}{6}=\frac{3*3}{10*3} - \frac{1*5}{6*5}[/tex]

          [tex]= \frac{9}{30} - \frac{5}{30}\\\\=\frac{9-5}{30}\\\\=\frac{4}{30}\\\\=\frac{2}{15}[/tex]

Amanda purchased a prepaid phone card for $20. Long distance calls cost 11 cents a minute using this card. Amanda used her card only
once to make a long distance call. If the remaining credit on her card is $16.81, how many minutes did her call last?
minutes

Answers

Answer:

29 minutes?

i divided 3.19 by 11 (20 - 16.81 is 3.19) and i got 29 so i think it is that amount of minutes

Solve the proportion 6/y=9/24

Answers

Answer:

It would be 16!

Step-by-step explanation:

Step 1 : 6 times 24 is 144

Step 2 : 144/9

Answer 16!

Answer:

ur dad and. ur mom plus ur dad mama ififjfifnfbfndjfkjfif

If he saves $50 a week , about how many months will it take to have enough to buy the motorcycle

Answers

Answer:

Step-by-step explanation:

There is not enough info.

But you would take-

price of the motorcycle=50(x)  x is the number of months. I can't give the exact amount without the price of the bike.

a delivery person uses a service elevator to bring boxes of books up to an office. the delivery person weighs 160 lb and each box of books weighs 50 lb. the maximum capacity of the elevator is 1400 lb. how many boxes can the delivery person bring up at one time?

Answers

He can carry around 6 boxes. How? So add one box of books and himself. You should get 210 lb. Afterwards, do 1,400 lb / 210 lb, since the max capacity of the elevator is 1,400 lb. You will get 6.666 and repeating. It will only be 6 boxes at one time. Do NOT round the decimal. The elevator will not be able to take 7 boxes PLUS himself. Otherwise the elevator will crash and fall. Hope this helped!

Given Z1 and Z2, find the
distance between them.
Z1 = 2 – 3i and Z2 = 4 + i

Answers

Answer:

The distance between given points is: √20

Step-by-step explanation:

The given numbers are complex numbers. In order to find the distance between two numbers in complex plain, their difference is taken and then modulus is applied.

Given numbers are:

[tex]z_1 = 2-3i\\z_2 =4+i[/tex]

The difference will be calculated as:

[tex]z_2-z_1 = (4+i)-(2-3i)\\= 4+i-2+3i\\=2+4i[/tex]

The distance will be:

[tex]d = \sqrt{(2)^2+(4)^2}\\= \sqrt{4+16}\\=\sqrt{20}[/tex]

Hence,

The distance between given points is: √20

Which number is a factor of 92?

Answers

Answer:

46 is the factor

Step-by-step explanation:

92 / 2 = 46

po

In a recent​ year, the mean number of strokes per hole for a famous golfer was approximately 3.9.(a) Find the variance and standard deviation using the fact that the variance of a Poisson distribution is σ2=μ.​(b) How likely is this golfer to play an​ 18-hole round and have more than 72​ strokes?

Answers

Answer:

Variance = 3.9

Standard deviation = 1.975

p(x > 72) = 0.38482

Step-by-step explanation:

Given that :

Mean number (μ) of strokes per hole is approximately 3.9

For a poisson distribution :

σ² = μ

Hence,

Variance (σ²) = μ = 3.9

The standard deviation σ = √(σ²)

σ = √3.9 = 1.9748417

Poisson distribution relation :

p( x = x) = (λ^x * e^-λ) / x!

For an 18-hole round :

λ = 18 * 3.9 = 70.2

Using the poisson distribution calculator ; where λ = 70.2 ; x = 72

p(x > 72) = 0.38482

Which of the following is a rational number? A.102 B.144 C.21 D.29

Answers

Answer:

I'm pretty sure they're all rational numbers since they're all whole numbers.

If P is the circumcenter △ A B C, and AD =3x - 11, DB =5x - 29, PC =18, find DP.

Answers

Answer:

8.2

Step-by-step explanation:

1. Since AD is equal to DB, we will need to set 3x-11 equal to 5x-29. When you solve the equation you will get 9 for x.

2. Plug the 9 in for x in DB (you could plug it in for AD instead if you want since DB and AD are equal to each other). You should get 16.

3. Take a look at the smaller triangle DBP which is part of triangle ABC. We will need to use the Pythagorean Theorem. Square the legs of the triangle and set it equal to the hypotenuse squared. One of the legs, DP, is unknown so we will just have it as x. The other leg is DB, which is 16.

* PB is the hypotenuse and has a value of 18. Remember that P is the circumcenter, which means it is equidistant to each vertex and each angle bisector is equal to each other. As a result PC is equal to PB which happens to be 18.

You should have it something like this:

16^2 + x^2 = 18^2

Now do all the squaring and stuff and you should eventually get x^2 = 68

4. Square root x^2 = 68 and you will get a long decimal. You will need to round it to the tenths place.

5. After rounding you will finally get 8.2

The measurement of DP is 8.2 units.

What is circumcenter of a triangle?

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Given that, P is the circumcenter △ ABC, and AD = 3x - 11, DB =5x - 29,

PC = 18

Since, DP bisects AB, so, AB = DP

3x-11 = 5x-29

x = 9

DB = 5*9 - 29 = 16

Since, P is the circumcenter, then PB = PC = PA = 18

Using Pythagoras theorem in Δ BPD

PB² = DB² + DP²

DP² = PB² - DB²

DP² = 18² - 16²

DP² = 324 - 256

DP² = 68

DP = 8.2

Hence, The measurement of DP is 8.2 units.

For more references on circumcenter of a triangle, click;

https://brainly.com/question/16276899

#SPJ3

What's 84 divided by 10 1/5? Thanks.

Answers

Answer:

8.23529412

Step-by-step explanation:

Do long division to get the answer as simple as that!

Answer:

168

Step-by-step explanation: (10 1 ÷5)  ÷ 84

When testing for current in a cable with eleven color-coded wires, the author used
required for every possible pairing of two wires?
meter to test two wires at a time.
The number of tests required is

Answers

Answer:

The number of test required is: 55

Explanation:

Using combination formula:

n!/x!(n-x)!

= 11!/2!(9)!

= 55

If f(x) = (2x^3 − 4)^6, then what is f '(x)?

21x^2(x^3 − 4)^5
21x^8
6(2x^3 − 4)^5
6(2x^3 − 4)^5(6x^2)

Answers

The correct answer is:

6(2x^3-4)^5(6x^2)

Explanation:

That is the derivative after you differentiate using the Chain Rule.

If the Semi Monthly is $4,000
A) How much is the Annual?
B) How much is the Bi Weekly?
C) How much is the Monthly Pay?
D) How much is the Weekly Pay?
E) How much is the Hourly Pay?
Im at a loss on how to answer this I reallyy need help

Answers

Disclaimer- this is all assuming that "semi monthly" means twice a month. if it doesn't, ignore this answer

A- if semi monthly is half a month, then 4 times 2 is 8, and 8 times 12 is 96,000.

B- If there are 4 weeks in a month and 4000$ accounts for half of that pay, then the weekly pay is 2000, making the bi-weekly pay 1000.

C- The monthly pay is 8,000$ because 4,000 x 2 is 8,000

D- The weekly pay is 2,000$ because the monthly pay is 8,000$ and there are 4 weeks in a month

E- I do not know the hours at this job and therefore cannot answer this

16 1/9+ -4 2/3 help please??

Answers

Answer:

11 4/9

Step-by-step explanation:

ANDDD the answer is

is 9pi > 27 a true inequality?

Answers

yes it is a true inquation.

2 4/5 ___ 2.45
(>,<,=)

Answers

Answer:

2 and 4/5 > 2.45

Step-by-step explanation:

2.8 is greater than 2.45

Answer:

2 4/5 is equal to 2.8 so 2 4/5 > 2.45

Step-by-step explanation:

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