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

If using the method of completing the square to solve the quadratic equation x^2+5x-37=0, which number would have to be added to "complete the square"?

Answers

Answer:9/4

Step-by-step explanation:

what is the mean and median and mode of 2.3.4.3.2

Answers

Answer:

Mean: 2+3+4+3+2=14/5= 2.8

Median: 2,2,3,3,4 = 3

Mode: 2 and 3

Mean: 2+3+4+3+2=14 14\5 =2.8
Median: 2,2,3,3,4 = 3
Mode 4+2=6

Ken is going to throw a biased dice once.

The probability that the dice will land on six is 0.3

(b) What is the probability that the dice will not land on six?

Answers

Answer:

0.7

Step-by-step explanation:

Given a biased dice :

Probability of landing on 6 = P(6) ;

P(6) = 0.3

Recall :

P(A') = 1 - P(A)

Therefore,

If

P(6) = 0.3

P(not landing on 6) ; P(not 6) ;

P(not 6) = 1 - P(6)

P(not 6) = 1 - 0.3 = 0.7

Hence, Probability of not landing on 6 = 0.7

Please help I don’t understand

Answers

Answer:

45

Step-by-step explanation:

Answer:

the answer would be 45 degrees

Step-by-step explanation:

this is because when you look at the rectangle all for interior angles ar e90 degrees each and the line cuts perfectly from one side to the other forming two right triangles. in a right triangle the two acute angles equal 45 degrees each.

Given f (x) = 1.5x-7, what value of x makes f (x) = 5?

Answers

Answer:

f(5) = 0.5

Step-by-step explanation:

f (5) = 1.5(5) - 7

f (5) = 7.5 - 7

f(5) = 0.5

Hope this helps!

what is the value of x in f(x)= (x-3)(x+2)?

Answers

Answer:

your answer is 2 hope help you

On Monday, a local hamburger shop sold a combined total of 352 hamburgers and cheeseburgers. The number of cheeseburgers
sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

To answer this question, you could use algebra.

If the number of cheeseburgers was three times the number of hamburgers, we could write this as.

Cheeseburgers= 3x and Hamburgers = x

We can then write an expression for the total number of burgers.

4x = 352

Divide both sides by four.

x = 88

Because hamburgers = x in relation to the cheeseburgers, that would mean the number of hamburgers sold on monday was 88.

find the value of given expression

[tex] \sqrt{31 + 33} [/tex]

Answers

Answer:

√(31+33)=√64=√8²=8 is your answer

**DONT REPORT** name 5 megan thee stallion songs and u will ger brainliest *if u dunno who she is dont answer**

Answers

Body, Captain Hook, and Girls in the hood *chefs kiss*

which answer choice ?

Answers

Answer:

the fourth one

Step-by-step explanation:

What is the scale factor?

Answers

The scale factor is 5. 50/10 is 5, and they are both the hypotenuse

Eliza brought 6 pans of homemade fruit bars to school. Her classmates ate 7/12 of each pan. Eliza gave 1 whole pan of the leftover fruit bars to the school's secretaries and took the rest home. How much of the fruit bars did Eliza take home?

Answers

Answer:

4.41666666667 which is 4.41

Step-by-step explanation:

6-7/12-1

=4.41

Answer:

4.41

Step-by-step explanation:

Calculator next time.

[tex]\frac{2x^{-3}y^{-2}}{z^{4} }[/tex]

Answers

you welcome :)
I hope I did something for you

find the value of given expression


[tex] \sqrt{5688 \times 5688 \times 4} [/tex]

Answers

Step-by-step explanation:

The answer will be-+ 11376

Answer:

√{5688×5688×4}=√{5688²×2²)==±11376

y= -x +3 and y = x - 1

Answers

Answer:

x=2 and y=1

Step-by-step explanation:

Rewrite equations:

y=−x+3;y=x−1

Step: Solve

y=−x+3

Step: Substitute−x+3foryiny=x−1:

y=x−1

−x+3=x−1

−x+3+−x=x−1+−x(Add -x to both sides)

−2x+3=−1

−2x+3+−3=−1+−3(Add -3 to both sides)

−2x=−4−2x−2=−4−2

(Divide both sides by -2)

x=2

Step: Substitute2forxiny=−x+3:

y=−x+3

y=−2+3

y=1(Simplify both sides of the equation)

Hope this Helps you :)

2) Resolva a expressão numérica abaixo e responda em forma de fração irredutível. 1,131313.....+ 0,131313....... - 2 =

Answers

Answer:

the answer is 579.768

Step-by-step explanation:

but I don't know if that's the correct answer

Important help asap.

Answers

Answer: y = 5x

Step-by-step explanation:

(check to make sure it matches the graph)

y = 5(0) = 0

y = 5(2) = 10

y = 5(4) = 20

y = 5(6) = 30

y = 5(20) = 100 dollars

Initial value is another term for

Answers

I believe another word for the Intel Value would be synonym

Find the value of x in 2x – 13 = 5 ​

Answers

Answer:

x=9

Step-by-step explanation:

So first, you have to add 13 to both sides to isolate the x so that will make the equation 2x=5+13. Add 5 and 13 to get 18. The equation will now be 2x=18. Divide both sides by 2 because we want x to equal one. This will make it x=18/2. Simplify that and get x=9

Hope this helps

Question

Find the value of x in 2x – 13 = 5 .

                                                                                                                                   

ANSWER

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Hence, this information ( x = 9 )

                                                                                                                                -Hope this helped.

A recipe needs 4/5 cup of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?

Answers

Answer:

Step-by-step explanation:

2.4 cups

What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope intercept form

Answers

Answer:

y = -5x - 23

Step-by-step explanation:

Point-slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

Which point is located at (4,-2)? A B C D

Answers

point B is located at (4, -2)

Answer:

B

Step-by-step explanation:

ordered pairs are (x,y) meaning the first value in the ordered pair would be the value you find on the x axis (horizontal) and the second value in the ordered pair would be the value you find on the y axis (vertical).

Four DVDs cost $84. If each DVD costs the same, how much does one DVD cost
the answers are these:
$16
$21
$26
$18

Answers

Answer:

one dvd costs $21

through: (1, 2), parallel to y = 3x + 1

Answers

Answer:

Step-by-step explanation:

so just use the slope of the equations    m = 3   and plug in your points

to the point-slope formula  

y-2=3(x-1)

y = 3x-3+2

y = 3x -1

now you have an equation that gives you a parallel line to the first,  but moved down by 2  :)

it it a acute, obtuse, or Right someone plzzzz help me


Answers

Answer:

Acute angle

Step-by-step explanation:

Obtuse are a bit slanted Right angles are Shaped like an L

Answer:

Obtuse

Step-by-step explanation:

This is an obtuse triangle. Because the degrees of the angle is more than 90 degrees. A right triangle's degrees is 90 exactly and usually has a square marking the angle, an acute is less than 90 degrees for the angle.

I hope you understand this now! :)

1. Find the total surface area of the shape below:
9 cm
8 cm
10 cm
8 cm
12 cm

Answers

Answer:

There isn't the picture

Need help with the answer please and thank you

Answers

Answer:

137.06

.....................

Help I’ll give brainliest

Answers

Answer:

30 minutes

Step-by-step explanation:

The hare and tortoise meet in 30 minutes at 240 feet.

Answer:

30minutes

Step-by-step explanation:

Tortoise = Hare

2m + 180 = 8m

collect like terms

180 = 8m - 2m

180 = 6m

divide both sides by 6

m = 180/6

m = 30

It will take 30 minutes for the tortoise and hare to meet.

find the range of the data. 71, 67, 76, 66, 68, 79, 78, 70

Answers

Answer:

the range is 13

Step-by-step explanation:

Range is the largest number subtreacted from the smallest. In this case, it will be, 79-66=13

Answer:

79 - 66 = 13

Range: 13


Help please
A cone has a height of 16 meters and a diameter of 18 meters. What is its volume?
Use = 3.14

Answers

Answer:

The volume of the cone is 1357.168026

Step-by-step explanation:

1/3 x 3,14 x 16 x 9^2
= 1356,48 m^3
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