If 0 < b ≤ 90 and cos(11b + 2) = sin(12b − 4), what is the value of b? b = 3 b = 4 b = 5 b = 6

Answers

Answer 1

Answer:

[tex]b = 6[/tex]

Step-by-step explanation:

Given

[tex]0<b\le 90[/tex]

[tex]\cos(11b + 2) = \sin(12b - 4)[/tex]

Required

Find b

To solve this, we make use of the following trigonometry rule:

If [tex]\cos(\alpha) = \sin(\beta)[/tex]

Then: [tex]\alpha + \beta = 90[/tex]

So:

[tex]11b + 2 = 12b - 4[/tex]

Collect like terms

[tex]11b - 12b = - 4 - 2[/tex]

[tex]-b = - 6[/tex]

Multiply both sides by -1

[tex]b = 6[/tex]


Related Questions

The price of a hot tub was marked down by $250. The original price of the hot tub was $3,600. What was the percentage rate of the discount (to the nearest
tenth of a percent)?
5.8% rate of discount
7.2% rate of discount
6.9% rate of discount
8.5% rate of discount
None of these choices are correct.
ОООО

Answers

Then what’s the point

6.9% discount

(6.9% of 3,600 is 248.40 but the question says to choose the closest answer)

Matthew has the choice between accepting a prize of $100,000 or being given a penny to start and adding triple the previous amount every day for three weeks . Which should he choose and why ?

Answers

Answer:

the penny because, the amount is going to triple everyday which will leave you with alot more money towards the end, and I've seen this so definitely pick the penny.

What is the slope? I will give brainliest

Answers

Answer:

The rise over run is -1/2

Step-by-step explanation:

There were 874 tickets sold for a school event. Student tickets were $3 and non-student
tickets were $7. If the total amount of ticket sales was $3,786, how many student
tickets were sold? (Use only the digits 0-9 to enter a number.)
This questions weird

Answers

Answer:

583 student tickets

Step-by-step explanation:

This question is likely asking us to set up a system of equations. Let us say that:

x represents the number of student tickets  

y represents the number of non-student tickets

We know that there were a total of 874 tickets sold, so:

x + y = 874

We also know that every student ticket was sold for $3 and every non-student ticket was sold for $7. We also know the total sales, so:

3x + 7y = 3786

These are our two equations. We can use substitution to solve for the number of student tickets, x:

x + y = 874

y = 874 - x

3x + 7y = 3786

3x + 7(874 - x) = 3786

3x + 6118 - 7x = 3786

-4x = -2332

x = 583 student tickets

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Answers

Answer:

B

Step-by-step explanation:

To test a circuit he does not need to gather opinions

Answer:

b

Step-by-step explanation:

What is the circumference of the following circle?
IN
T1

Answers

Answer:

the circumstance of the circle is 6.2857

please help! i rlly need help i will give u 1

Answers

Answer:

the answer is 14 liters

Step-by-step explanation:

no of cans: 7

liters present in each can: 2

therefore, liters of juice= 7×2

=14

Tony will have 14 liters of tomato juice

A customer bought 2/3 pound of roast beef and 1/2 pound of cheese at the deli. What is the ratio of roast beef to cheese?

Answers

Answer:

4/3

Step-by-step explanation:

2/3 divided by 1/2

2/3 times 2/1

2 times 2 is 4

3 times 1 is 3

final answer: 4/3

The Ratip is 4:3

NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

B = 240/h

Step-by-step explanation:

Write the equation of the line in fully simplifoed slope intercept form

Answers

Answer:

         y = -⁵/₃x + 8

Step-by-step explanation:

The equation of the line in slope-intercept form:  y = mx + b, where m is a slope and b is y-intercept

Slope of  line that passes through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(0, 8)    ⇒    x₁ = 0,  y₁ = 8

(3, 3)      ⇒    x₂ = 3,  y₂ = 3

[tex]\bold{m=\dfrac{3-8}{3-0}=\dfrac{-5}3=-\dfrac53}[/tex]

b = 8

Therefore the equation:   y = -⁵/₃x + 8

if I have one broccoli and my teacher gives me two broccolis how many broccolis do I have​

Answers

three broccz babeyyy ✨‍♀️

Answer:

Step-by-step explanation:

I'm sure of it i even used my calculatr... it 13

Solve for a. Show your work plz.

Answers

Answer:

C

Step-by-step explanation:

[tex]\frac{10}{a} =sin 60\\a=\frac{10}{sin~60}\\=\frac{10}{\frac{\sqrt{3} }{2} } \\=\frac{20}{\sqrt{3}} \times\frac{\sqrt{3}}{\sqrt{3}} \\=\frac{20 \sqrt{3}}{3}[/tex]

Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate. The candy has 3 pounds of milk chocolate. How many pounds of dark chocolate are present in the candy? Show your work. (5 points)

Answers

Answer:

1 pound

Step-by-step explanation:

Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate

therefore, 75% = milk chocolate

3 pounds = 75%

25% = ?

25 % = 1 pound

1 pound of dark chocolate is present in the candy.

The measures of the angles of a triangle are shown in the figure below. Find the
measure of the largest angle.

Answers

i can’t see the bottom numbers

If the CIRCUMFERENCE of a circle is 15.7, what is the AREA of the circle?

Answers

Answer:

the area of the circle is 19.615

If the Math Olympiad Club consists of 15 students, how many different teams of 3 students can be formed for competitions?

Answers

Answer:

5 teams

15÷3=5

Have a great day

Answer:

5 teams

Step-by-step explanation:

There are 15 students, and 3 students per team. Divide 15/3 and you get 5.

what is the rate of change of the function y=-4x+2

NEED HELP ASAP!!!!!!! PLEASE

Answers

Answer:

The rate of change is -4

Step-by-step explanation:

In slope intercept form the m value is the rate of chane/slope

I believe it is same as the slope so it would be -4x

helpppppppppppp meeeee plssss lpereira25

Answers

Answer:

1. Reflect across the y-axcis:

  1) (-1,-5)

  2) (0,-3)

  3) (-2,0)

  4) (-4,-2)

________________________

2. Reflect across the x-axis:

  1) (0,0)

  2) (1,-4)

  3) (2,-4)

  4) (4,0)

Do u wanna join

my

zoom

because its much better to tell/show u the answers...?

please help on both!! will give brainliest.​

Answers

Answer:

6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x

Step-by-step explanation:

For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.

(there's an error in this question)

As for question 6,

a) with coordinate (x,y) = (-2,7)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(-2,7) ➡️ (x2,y2) then,

m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -7/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −7/2 (x-0)

If we simplify this, we simply get

y = −7/2 x ← This is our equation for coordinate (-2,7)

b) with coordinate (x,y) = (2,-1)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -1/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −1/2 (x-0)

If we simplify this, we simply get

y = −1/2 x ← This is our equation for coordinate (2,-1)

c) with coordinate (x,y) = (4,-5)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -5/4 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −5/4 (x-0)

If we simplify this, we simply get

y = −5/4 x ← This is our equation for coordinate (4,-5)

d) with coordinate (x,y) = (10,-17)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -17/10 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −17/10 (x-0)

If we simplify this, we simply get

y = −17/10 x ← This is our equation for coordinate (10,-17)

Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level. What was the change in her elevation?

Answers

Answer:

18 feet

Step-by-step explanation:

52 - 34 = 18

Answer:

18

Step-by-step explanation:

52 - 34 = 18 because she went  34 down so that will be a -34 and then she went 52 up and 52 is a positive number so it really is  negative -34 + 52 = 18

What is the solution to the equation



m = –24 m = –12 m = –6 m = –4

Answers

the answer is ........... x= —12

please help thank youuuuu

Answers

Answer:

Y=3x-1

Step-by-step explanation:

Let x =1 then ,Y=(3×1)-1=2

Let x=2 then, Y=(3×2)-1=5

Let x=3 then Y=(3×3)-1=8

Let x=0 then Y=(3×0)-1=-1

Sara is renting a car for x amount of days. To rent the car she must pay an initial fee of $130 and then $17 for each day. If sara rents a car for 9 days, how much will it cost her?

Answers

Answer:

283

Step-by-step explanation:

130+17(9)

130 + 17 times the days

If a meteorologist says there is a 25% chance of snow tomorrow, what is the probability that it will not snow? I need and answer in fraction form

Answers

25/100 is 1/4 so 75/100 is 3/4 so the answer is 3/4

How can you make different-looking triangles given two of the angle measures and the included side lengths

Answers

Answer:

Hi how are you doing today Jasmine

$800 invested at 5.25% simple interest for 4 yrs.

Answers

Answer:

14 dollars.

Step-by-step explanation:

With annual interest rate, 5.25 interest rate is $14.00

Answer:

$968

Step-by-step explanation:

800 × 0.0525 × 4 = 168 (interest)

168 + 800 = 968 (total)

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (1 pts)



(5,2) is a solution to the equation 2x + 3y = 10.

Answers

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order to figure out whether or not the statement is true or false, plug the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair (5, 2) into the given equation, [tex]2x+3y=10[/tex]. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for [tex]x[/tex] in the equation [tex]2x+3y=10[/tex].

[tex]2x+3y=10[/tex] ⇒ [tex]2(5)+3y=10[/tex]

then plug in 2 for [tex]y[/tex].

[tex]2(5)+3y=10[/tex] ⇒ [tex]2(5)+3(2)=10[/tex]

now your equation is [tex]2(5)+3(2)=10[/tex]. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

[tex]2(5)+3(2)=10[/tex] ⇒ [tex]10 + 3(2) = 10[/tex]

multiply 3 · 2.

[tex]10 + 3(2) = 10[/tex] ⇒ [tex]10 + 6 = 10[/tex]

add 10 + 6.

[tex]10 + 6 = 10[/tex] ⇒ [tex]16=10[/tex]

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

What is the perimeter of an octagon if each side is 7 inches in length?

Answers

Answer:

an octagon has 8 sides

8 x 7 = 49 inches

Step-by-step explanation:

8 sides or inches ... ps I’m just guessing I’m not 100% sure

20 POINTS Find the diameter?? Pls help I dont know what to do..

Answers

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

What is the equation of the square root parent function?

Answers

y = square root x

I don't have the square root sign
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