For an acute angle θ, the equation sin(θ)=cos(6) is true. What is the value of θ? Show or explain your answer

Answers

Answer 1

Answer:

[tex]\theta= 84[/tex]

Step-by-step explanation:

Given

[tex]\sin(\theta) = \cos(6)[/tex]

Required

Find [tex]\theta[/tex]

In trigonometry,

If [tex]\sin(\theta) = \cos(\alpha)[/tex], then

[tex]\theta + \alpha = 90[/tex]

So, in this case:

[tex]\theta + 6= 90[/tex]

Subtract 6 from both sides

[tex]\theta + 6-6= 90-6[/tex]

[tex]\theta= 90-6[/tex]

[tex]\theta= 84[/tex]

Hence, the value of [tex]\theta[/tex] is 84 degrees


Related Questions

Carla packed this box with 1-centimeter cubes. What is the volume of the box?

Answers

Answer:

60 cm 2

Step-by-step explanation:

Answer:

60 cubic cm

Step-by-step explanation:

i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm

hoped it helped :)

You have received an order for 144 articles. The articles are packed 12 to a box. How many boxes will be needed to fill this order?​

Answers

Answer:

12 boxes will be needed.

Answer:

12 boxes

Step-by-step explanation:

144/12=12

or

1-12x?=144

2-12x10=120

3-12x2=24

4-120+24=144

write 5,020,700 in expanded form

Answers

Expanded form: when you add all the digits together based on their places

Solution: 5,000,000 + 20,000 + 700

5,000,000+20,0000+700

Find the number between 100 and 999 such that
the sum of the three digits is 12.
the hundreds digit equals the sum of the tens digit and the ones digit.
the hundred digit equals one greater than the tens digit.

Answers

156 I think
1+5+6=12
1+5=6
6 is 1 greater than 5

32/8 = 28/x

Please select the best answer from the choices provided

A: x = 4
B: x = 28
C: x = 8
D: x = 7

Answers

32/8=28/x

we multiply by x

x*32/8=28

we multiply by 8/32

x=28*8/32

8 divides by 32

x=28/4=7

D: x = 7

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{32}{8}[/tex] = [tex]\frac{28}{x}[/tex] ( cross- multiply )

32x = 224 ( divide both sides by 32 )

x = 7 → D

Why are whole numbers rational numbers? Use 15 as an example.

Answers

Answer:

Every whole number n can be written as a fraction of integers.

Step-by-step explanation:

Every whole number n can be written as a fraction of integers: x=x/1.

If we use 15 as an example, it would be 15 = 15/1. 15/1 is 15.

So whole numbers are rational

Whole numbers are rational numbers because all whole numbers can be expressed in the form a/b. Hence, 15 can be expressed as a rational fraction thus 15/1

When a number can be expressed in the form a/b ; such that the value of the denominator, b ≠ 0 ; then the number is said to be rational.

Whole numbers are positive integer values and as such, they are not decimals.

Every whole number can be expressed such that the denominator is 1 ; hence, they can be expressed in the form a/b.

15 as a whole number can be rewritten as 15/1. Hence, all whole numbers are rational.

Learn more : https://brainly.com/question/18109354

Need HELP ASAP!!
Please help me

Answers

Answer:
The length of the remaining piece of thread is 1/16
Step-by-step explanation:
Given:
A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long.
Now, to find the length of the remaining piece of thread.
Total thread = 9/16
Tailor cuts a piece of thread = 1/2
Now, to get the length of the remaining piece of thread by subtracting tailor cuts a piece of thread from the total thread:

9/16-1/2= 9-8/16 = 1/16
Therefore, the length of the remaining piece of thread is 1/16 :)

Find the midpoint of the segment with the following endpoints.

(4,7) and (10,3)

Answers

Answer:

7, 5

Step-by-step explanation:

Answer:

I hope this may helps you

helpppppp like nowwwwww pls​

Answers

Answer:

I honestly don't know man

Step-by-step explanation:

but you can do this you got it

Answer:

The last option is my best guess

Step-by-step explanation:

How to write slope intercept form of
y = -5/4 (x+4)

Answers

Answer: y=−5/4x−5

Step-by-step explanation:

Which of the following expressions is a correct interpretation of the expression 2-(-7)

PLEASE ANSWER NOW!!! DURNING A QUIZ

Answers

Answer:

B

Step-by-step explanation:

Because you are subtracting a negative number from a positive number, the two negatives will cancel each other out and it will move to the right.

Suppose you run a bookstore, and have ratings (1 to 5 stars) of books. Your collaborative filtering algorithm has learned a parameter vector for user j, and a feature vector for each book. You would like to compute the "training error", meaning the average squared error of your system’s predictions on all the ratings that you have gotten from your users. Which of these are correct ways of doing so (check all that apply)For this problem, let m be the total number of ratings you
have gotten from your users. (Another way of saying this is
that m=∑nmi=1∑nuj=1r(i,j)). [Hint: Two of the four options below are correct.]
a) 1m∑(i,j):r(i,j)=1((θ(j))Tx(i)−r(i,j))2
b) 1m∑nmi=1∑j:r(i,j)=1(∑nk=1(θ(j))kx(i)k−y(i,j))2
c) 1m∑(i,j):r(i,j)=1((θ(j))Tx(i)−y(i,j))2
d) 1m∑nuj=1∑i:r(i,j)=1(∑nk=1(θ(k))jx(k)i−y(i,j))2

Answers

D because I’m forced to answer this question

52/20-5/20 what is the answer to this math question?

Answers

Answer:

that answer is 47/20

Step-by-step explanation:

52-5=47

20-20=20

52/20-5/20=47/20

Answer:

50/20-5÷20=2.35

Step-by-step explanation:

I used a calculator i hope it helps : )

1.15x10^-5 in standard form

Answers

Step-by-step explanation:

= 1.15 / 10⁵

115/10000000

0.0000115

is the correct answer

A right triangle has a hypotenuse that is 9
inches long and one leg that is 4 inches long.
What is the perimeter of the triangle?

Answers

Answer:

sqrt65+17

Step-by-step explanation:

a^2+b^2=c^2

a^2+4^2=9^2

a=sqrt65

perimeter = sqrt65+97

Hope this helps plz hit the crown :D

Pls Help! Will mark brainliest!!!! 20 Points!!!!!

Answers

Answer:

I think x = 4

Step-by-step explanation:

x3 + -2x2 + -8x = 0

Reorder the terms:

-8x + -2x2 + x3 = 0

Solving

-8x + -2x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(-8 + -2x + x2) = 0

Factor a trinomial.

x((-2 + -1x)(4 + -1x)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying

-2 + -1x = 0

Solving

-2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = 0 + 2

-1x = 0 + 2

Combine like terms: 0 + 2 = 2

-1x = 2

Divide each side by '-1'.

x = -2

Simplifying

x = -2

Subproblem 3

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

I believe the answer would be x=4

What is an equation of the line that passes through the points (4,-2) and (8,3)?​

Answers

Answer:

[tex]y-4=\frac{5}{4} (x+2)[/tex]

Step-by-step explanation:

First you can find the slope of the line that would pass through those two points using the formula:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{3-(-2)}{8-4}[/tex]

m=5/4

Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.

So,

[tex]y-4=\frac{5}{4} (x+2)[/tex]

(don't leave out the parentheses!)

The equation of the line (4,-2) and (8,3) is Y=5/4x-7

ILL GIVE BRAINLEST ​

Answers

Answer:

it would be increasing.

Step-by-step explanation:

Answer:

its inreasing happy to help brainlest plz

Step-by-step explanation:

- 14b + 38 = 108
b = [?]

Answers

Answer:

b = -5

Step-by-step explanation:

[tex] - 14b + 38 = 108[/tex]

[tex] = > - 14b = 108 - 38 = 70[/tex]

[tex] = > b = \frac{70}{ - 14} = - 5[/tex]

Maya drove 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?

Answers

Answer:

8 hours

Step-by-step explanation:

110 miles ................. 5 hours

176 miles ..................x hours

x = 176×5/110 = 880/110 = 8 hours

What is the value of 3 - (-2)
-5
-1
1
5

Answers

Answer:

5

Step-by-step explanation:

if your subtracting a negative number, you just add it.

Answer:

The answer is 5.

Step-by-step explanation:

There is a double negative in the equation, represented by -(-2). A double negative always equals a positive, so the equation will now translate to 3+2, which is 5.

Helpppppppppppppp asappppp

Answers

Answer:

[tex]B.\ 3[/tex]

Step-by-step explanation:

Given

[tex]x^3 + \frac{1}{3}x^3 +6x + 5[/tex]

Required

Power of term with coefficient of 1

First, we need to identify the variable in the given polynomial

The variable is x

Each term has the following format:

[tex]mx^n[/tex]  where [tex]n \ge 0[/tex] and m is the coefficient

In this case, we are to look for n where m = 1

Looking at each term of the polynomial, we have the following match:

[tex]mx^n = x^3[/tex]

Substitute 1 for m

[tex]1 * x^n = x^3[/tex]

[tex]x^n = x^3[/tex]

By comparison:

[tex]n = 3[/tex]

Hence, the solution to this question is (B)

Easy Unit Rate. Help quick!

Answers

Answer:

vuguvcfhhhhhhhhcgyy

Rashawn knows the multiplications 6x4 and 2x4. How can he use their products to find 8x4?

Answers

Answer:

Since 6x4=24

and

2x4=8,

we can tell that these answers are common multiples of 8, and so 24 plus 8 equals 32.

Step-by-step explanation:

8x4=32

A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If he does not deposit or withdraw any money, how much will he have altogether after one year?

Answers

Answer:

$406

Step-by-step explanation:

The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.

It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.

His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=  

$406

​  

.

PLEASE HELP ME IM TAKING TIMED TEST I WILL MARK YOU AS BRAINLEST!!

Answers

Answer:-4.5, -0.5, 0.3, 0.7, 2.3

Step-by-step explanation:

marking brainiiest Emery makes $15 per hour in addition to 2.25% commission on her sales each week. If her sales were $3,200 last week, how much will Emery be paid if she worked 38 hours?

Answers

Answer:

Step-by-step explanation:

Emery is paid 15 dollars an hour and she worked 38 hours

15*38=570 dollars just from the hourly wage

the commission is 2.25% and her sales were 3,200 dollars

(3200*2.25)/100=72

total=570+72=642

What is the length of side a?

Answers

Answer:

where is the picture

Step-by-step explanation:

u need a pic

x-axis =____
y-axis =____
y= x ____
y= -x____​

Answers

Answer:

x-axis = (2, -3)

y-axis = (-2, 3)

y = x (3, 2)

y= -x (-3, -2)

Step-by-step explanation:

x-axis = (2, -3) The point is below the x-axis.

y-axis = (-2, 3)  The point is left of the y-axis

y = x (3, 2) Plot the line y = x. The point is on the other side of the line.

y= -x (-3, -2) Plot the line y = -x. The point is on the other side of the line.

Evaluate
f(x)=5x-3
f(5) =

Answers

f(x)=5x-3

use the substitution method

f(5)=(5)(5)-3

multiply the parentheses first

using: PEDMAS

P=Parentheses

E= Exponents

D=Division

M=Multiplication

A= Addition

S=Subtraction

(5)(5)=25

25-3

=22

answer:

f(5)=22

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