If sin (13y-5) = cos (2y+5), then what is the value of y?

Answers

Answer 1

Given sin (13y-5) = cos (2y+5)

We have a formula regarding complementary angles that is given as follows :-

If sin(A) = cos(B), then A + B = 90 degrees.

where A and B are complementary angles.

Comparing it with given information, we get A = (13y-5) and B = (2y+5).

So the sum of two angles A = (13y-5) and B = (2y+5) would be 90 degrees.

(13y-5)° + (2y+5)° = 90°

13y + 2y - 5 + 5 = 90°

15y = 90°

y = 6°

Hence, final answer is y = 6 degrees.


Related Questions

The two cones are similar. Find the surface area of the larger cone. Round your answer to the nearest hundredth. A.810.28cm squared. B.847.80cm squared. C.868.30cm squared. D.886.25cm squared

Answers

The correct answer is letter C. 868.30 cm^2 (centimeter squared)

See attached figure for reference of the two cones.


Solution:

Find first the radius.

To find the radius we must multiply 13.8 to 4.6 and multiply it by 3.7

Thus,

(13.8 / 4.6) x 3.7 = 11.1

To find the surface area of the larger cone we use this formula:

((pi x rad x slide length) + (pi x rad^2))

Where:

rad or radius = 11.1
slide length = 13.8

((pi x 11.1 x 13.8) + (pi x 11.1^2)) = 868.30 cm^2




Answer: The answer is C.868.30cm

What is the discriminant of the quadratic equation

Answers

The discriminant is  b^2 -4ac
a = 1
b = -2
c = 4

discriminant = 4 -4 * 1 * 4 =
4  -16 =
 -12
I get MINUS 12 as the answer but that isn't one of the choices.





Final answer:

The discriminant of a quadratic equation ax²+bx+c = 0 is found using the formula b² - 4ac. It helps determine the nature of the roots of the equation, with the sign of the discriminant indicating whether the roots are real or complex.

Explanation:

The discriminant of a quadratic equation, written in standard form as ax²+bx+c = 0, is found using the formula b² - 4ac. This value comes from the quadratic formula used to solve for the roots of the equation: -b ± √b² - 4ac divided by 2a. This discriminant can help determine the nature of the roots without solving the entire equation. If the discriminant is positive, the quadratic has two distinct real roots. If it is zero, there is one real root. If the discriminant is negative, there are two complex roots.

For example, consider the quadratic equation x² - 4x + 4 = 0. Here, a = 1, b = -4, and c = 4. Therefore, the discriminant is (-4)² - 4(1)(4) = 16 - 16 = 0. This means the equation has one real root.

Learn more about Discriminant here:

https://brainly.com/question/34396755

#SPJ11

In circle O, BC=14 and DC=25. What is the length of diameter BA?
-58.6
-12.2
-44.6
-30.6

Answers

Here's the picture, if anyone still needs it.
Does anyone know the answer yet?

A recipe for bread uses 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. How many more cups of white flour than wheat flour are used in the recipe? Write an equation and complete the bar diagram to solve.

Answers

The equation is just 5 3/4 times 3 1/3. You make the denominators the same by multiplying them by each other. It will be 5 3/12 times 3 1/12. Now you times these two together. You can do this part yourself because it will be confusing on here. I hope i helped atleast a little.
Final answer:

The recipe uses 2 5/12 cups more white flour than wheat flour. To find this, convert the amounts to improper fractions, find a common denominator, and then subtract the amount of wheat flour from the amount of white flour.

Explanation:

To find out how many more cups of white flour are used than wheat flour in a bread recipe, you need to calculate the difference between the amounts of the two flours. The recipe calls for 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. To do this mathematically, we must first convert these mixed numbers to improper fractions.

The white flour amount, 5 3/4 cups, can be converted as follows: (5 × 4) + 3 = 20 + 3 = 23/4 cups. Similarly, the wheat flour amount, 3 1/3 cups, converts to (3 × 3) + 1 = 9 + 1 = 10/3 cups.

Now, to find the difference, we subtract the wheat flour from the white flour:

23/4 (white flour) - 10/3 (wheat flour)

Before subtraction, you have to ensure that both fractions have the same denominator. The least common denominator here is 12. The equation now becomes:

(23 × 3)/(4 × 3) - (10 × 4)/(3 × 4) = 69/12 - 40/12

Simplifying the subtraction gives us:

69/12 - 40/12 = 29/12

Therefore, the recipe uses 29/12 cups, or 2 5/12 cups more white flour than wheat flour.

PLEASE HELP!!!ASAP!!!!
Write an equation that you can use to solve for x.

Enter your answer in the box.

Answers

180 - 100 = 80

equation
x = 180 - 80 - 60

to find x
x = 180 - 140
x = 40

Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00. She then uses her calculator to determine her new balance. Which of the following is the correct series of keys she should press?

Answers

This is what she should press:
68 - 5 - 62.5 + 75
This would amount to $75.50 (Just to sate my curiosity)
 ON/C 6 8 – 5 – 6 2 . 5 0 + 7 5 =
She started out with $68 then you subtract $5 and & 62.50 Then you add the deposit of $75.00

Amanda wants to make a rectangular fenced area for her dogs. She wants the area to be 32 square feet with the length of the yard being twice the width. What would it cost Amanda to put up fencing for her dogs if the fencing costs $3.00 per foot? (Hint: Find the perimeter first.)

Answers

The fence is a 8x4 fence as they multiply up to 32 square feet and 8 is double 4. If you add 8+8+4+4 you will get 24. Then you multiply the perimeter (24) by 3 to get the final cost. This means that the final cost will be $72.00.

I can’t remember what distributive property is.

Answers

 The distributive property is a special way where multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as:

a(b + c) = ab + ac.

Does this help in any way?


So technically, you multiply the number outside the parentheses (which is 8) by the numbers inside the parentheses. But you have to do whatever the math symbol is. If it's division, divide the number outside to the numbers inside. So in this case, it will be  

1) 8 times 3x which will equal to 24x
2) 8 times 5= 40
3) The last step is to put them together which will be 24x + 40. You can't add them together because one is a number and one is a number with a variable. 
4) Answer=24x+40  (hope this helps)

Which is the best display for the set of the number of daily 911 calls made during a month, if you want to be able to identify the mode?

A. Histogram with intervals of 5
B. Histogram with the intervals of 3
C. Line plot
D. Line graph

Please help me I can not and I mean CAN NOT figure this out by myself. So please please please help me ASAP!!!!!!!!!!!!!!!!!!!!

Answers

It is indead D. Line graph shows information over time.

Answer:C

Step-by-step explanation: It is line plot. The key word is mode. You can identify the mode more easily from a line plot than a line graph.

Write the product using exponents.

(−6)⋅(−6)

Answers

Answer:

(−6)²

Step-by-step explanation:

(−6)⋅(−6)

This means the numbers are being multiplied.

A number is being multiplied by the same number. You can write an exponent for the number of times it's being multiplied by itself.

Example:

x = x¹

x·x = x²

x·x·x = x³

You are multiplying (−6) twice.

(−6)⋅(−6) = (−6)²

Final answer:

To write the product using exponents for (-6)⋅(-6), we can use the rule that states when multiplying two numbers with the same base, we add the exponents. The product of (-6)⋅(-6) is 36.

Explanation:

To write the product using exponents for (-6)⋅(-6), we can use the rule that states when multiplying two numbers with the same base, we add the exponents. In this case, the base is -6, so the exponents are both 1.

The product can be written as (-6)^1⋅(-6)^1. Adding the exponents gives us (-6)^(1+1) = (-6)^2 = 36.

Therefore, the product of (-6)⋅(-6) is 36.

cuanto valen 75 sobres a $2,000 el cien?

Answers

Igual que el último.
Si es "$ 2,000 por 100 sobres, dividiremos 2,000 / 100 y obtendremos 20, luego multiplicaremos 20 por 75 y obtendremos" $ 1500 ".
 
Esta es la ecuación
 $ 2,000 / 100 = 20 x 75 = $ 1,500
 
Espero que esto ayude :-)

PLEASE EXPLAIN: Is there any job you could have as an adult where you would not need to know any math?

Answers

ELA teacher and Janitor 

How do you solve | P-1| = 4 in a absolute value equation

Answers

Under a sign of absolute value can stay positive or negative number.
If it is a positive number then the its absolute value is a number.

1) p-1=4
p=4+1
p=5

If it is a negative number then the its absolute value is a opposite of a number.

2) -(p-1)=4
-p+1=4
-p=4-1
-p=3
p=-3

So, this equation has 2 roots p=5, and p=-3.

Check:
|p-1|=4
|5-1|=4
|4|=4
4=4 True

|p-1|=4
|-3-1|=4
|-4|=4
4=4 True

Which expression could be used to solve this problem? Tom is making lunch for his 3 children. He wants to give each child 2 carrot sticks and 5 pieces of celery. How many of these vegetables does Tom need? A. 2 × (3 × 5) B. 3 × (2 + 5) C. 3 × 2 + 5 D. 5 + 2 × 3

Answers

Each child = 2 + 5

Three children = (2 + 5) x 3

Ansswe is B. 3 x (2 + 5)

Hope this helps. - M

how to write function in standard form
[tex]f(x) = (2 \times + 1)(x + 1)(x - 1)[/tex]

Answers

Multiply it out.
  f(x) = (2x +1)(x² -1) . . . . . . recognize the factoring of the difference of squares
  f(x) = 2x³ +x² -2x -1
The standard form:
[tex]f(x)=ax^3+bx^2+cx+d[/tex]
Use:[tex](a-b)(a+b)=a^2-b^2\\\\(a+b)(c+d)=ab+ad+bc+bd\\\\a^n\cdot a^m=a^{n+m}[/tex]
[tex]f(x)=(2x+1)(x+1)(x-1)\\\\f(x)=(2x+1)(x^2-1^2)\\\\f(x)=(2x+1)(x^2-1)\\\\f(x)=2x\cdot x^2-2x\cdot1+1\cdotx^2-1\cdot1\\\\f(x)=2x^3-2x+x^2-1\\\\\boxed{f(x)=2x^3+x^2-2x-1}[/tex]

Tessa surveyed the students at her school to find out if they like music and/or dance. The table below shows the results of the survey:



Like Music


Do Not Like Music


Total

Like Dance

23

13

36

Do Not Like Dance

7

7

14

Total

30

20

50



If a student likes music, what is the probability that student also likes dance?
76.7%
63.9%
46.0%
30.4%

Answers

I think it's A - 76.7%. I can't be certain; but I hope this helps.

Answer:A) 76.7%

Step-by-step explanation:

1 question 1 brainleast! Figure II is a translation image of Figure I. Write a rule to describe the translation.

Answers

Answer:

The translation is (x, y)--->(x - 1, y + 2).

Can someone please help me.

Answers

in the commutative property you just switch things around so

60 + x is the answer
60 + x :))))) your welcome

You start a search for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive, and coordinates to the south or west are negative. You find nothing at (–5, 3), so you try a likely looking spot 6 yards to the east and 5 yards to the south of the first spot. What are the coordinates of the second spot?

Answers

(-1,-1) or (-10,9) i haven't done graphing for a while but its one of those two

How many cars are sold in a typical week at the dealership?

Answers

Maybe around 10 this is a tricky question.


Different dealerships sell different amounts

In this question, we determine the total number of cars sold in a typical week at a dealership based on the given data.

Based on the given data:

Number of cars sold at the dealership in a typical week:

3 cars: 14

4 cars: 19

5 cars: 12

6 cars: 9

7 cars: 11

To find the total cars sold:

Add the number of cars sold in the respective categories: 14 + 19 + 12 + 9 + 11 = 65. Therefore, 65 cars are sold in a typical week at the dealership.

If my radius is 7.8 maters. What is the circumference and area of my circle

Answers

Circumference = 2 · π · r   or  π · d

Radius = 7.8

7.8 × 2 = 15.6

15.6 × 3.14(π) = 48.984

Circumference = 48.984 rounded = 49

Area = π · r²

Radius = 7.8

7.8 × 7.8 = 60.84

60.84 × 3.14(π) = 191.0376

Area = 191.0376 rounded = 191

Hope this helped☺☺

Use the figure to answer the following questions.
Please show work if possible

A. What is the intersection of plane P and plane R?


B. Name three points that are collinear

C. Name plane R in two more ways

D. Name four coplanar points

E. Name a points that lie on both plane P and plane R

Answers

Final answer:

The intersection of plane P and plane R is the line AB. Points A, B, and C are collinear. Plane R can be named as plane AB or plane BC. Points A, B, C, and D are coplanar. Point A lies on both plane P and plane R.

Explanation:

A. The intersection of plane P and plane R can be found by determining the common points that lie on both planes. In the given figure, we can see that the line AB lies on both planes P and R, so the intersection of plane P and plane R is the line AB.

B. Collinear points are the points that lie on the same straight line. In the given figure, the points A, B, and C are collinear as they all lie on the line AB.

C. Plane R can be named in two more ways as plane AB or plane BC, as it is the same plane defined by either line AB or line BC.

D. Coplanar points are the points that lie on the same plane. In the given figure, the points A, B, C, and D are coplanar as they all lie on plane R.

E. A point that lies on both plane P and plane R is the point A, as it lies on both the plane defined by line AB (plane R) and the plane perpendicular to line CD (plane P).

A pizza stand offer both hand- tossed and pan pizza. customer can add any combination of the six available topping.

Answers

Final answer:

There are 12 varieties of pizza available based on the given options: 2 crust options and 6 topping options.

Explanation:

Pizzas can have different varieties depending on the toppings and crust options. Let's calculate the number of varieties we can get using the multiplication principle.

Suppose there are 6 available toppings and 2 crust options (hand-tossed and pan). A customer can choose any combination of these toppings. So, there are 2 options for the crust and 6 options for each topping. Using the multiplication principle, we multiply the number of options for each factor: 2 (crust) * 6 (topping) = 12 varieties.

Therefore, there are 12 varieties of pizza available based on the given options.

The number of possible outcomes for a pizza order is calculated by considering 2 crust types and 64 topping combinations, resulting in:

[tex]\[ 2 \times 64 = 128 \][/tex]

Thus, there are [tex]\(\boxed{128}\)[/tex]possible outcomes.

To solve this problem, we need to find the total number of possible outcomes for a customer ordering a pizza at the stand. There are two main choices to consider:

1. The type of pizza crust (hand-tossed or pan).

2. The combination of toppings (from a set of six available toppings).

Step-by-Step Calculation

Step 1: Determine the choices for the type of pizza crust

There are 2 types of crusts available:

- Hand-tossed

- Pan

This gives us 2 choices for the crust.

Step 2: Determine the choices for the toppings

For each of the 6 available toppings, a customer can either choose to include the topping or not. Each topping thus has 2 choices: include or not include.

Since the choices for each topping are independent, we can use the multiplication rule of counting (specifically, the rule for combinations):

[tex]\[2^{6} \text{ combinations of toppings}\][/tex]

Calculating this gives:

[tex]\[2^{6} = 64 \text{ combinations}\][/tex]

Step 3: Combine the choices for crust and toppings

The total number of possible outcomes is the product of the number of choices for the type of crust and the number of combinations of toppings.

[tex]\[2 \text{ (types of crust)} \times 64 \text{ (combinations of toppings)} = 128 \text{ outcomes}\][/tex]

Therefore, the number of possible outcomes in the sample space is:

[tex]\[\boxed{128}\][/tex]

Please Help Me Asap! Urgent! PLEASE

Answers

Problem 1.

1/2 bag: peanuts
1/4 bag: choc candies
1/4 bag: dried fruit

Form the above, you can conclude:
Choc candy and dried fruit have the same likelihood of being drawn.
Choc candy and dried fruit have less likelihood of being drawn than peanuts.

A. False
B. False
C. False
D. True

Answer for problem 1. is choice D.


Problem 2.

Answer for problem 2. is A.

Find the zeroes in F(x) = 3x^2 + 9x + 12

Answers

F(x) = 3x^2 + 9x + 12,
The zeroes of the function are the value of x when F(x)=0.

 3x²+ 9x + 12 = 0   (divide all equation by 3)
x²+3x+4 =0

a=1, b=3, c=4

[tex]D= b^{2}-4ac=3^{2} -4*1*4=9-16= -4 \ \textless \ 0, so no real solutions. [/tex]

There are no real zeros for this function.


A school is constructing new tennis courts. Each rectangular court will be enclosed by a 600 ft fence. The length of the rectangular region will be 60 feet longer than the width. What are the dimensions of the new courts? Use an equation or a system of equations to explain how you determined your answer.

Answers

The dimensions are 120 ft by 180 ft.

Let L be the length.  We know that L is 60 feet more than the width, or w+60=L.

We know that the perimeter is given by 2w+2L; in this case, we have 2w+2(w+60) = 600

Using the distributive property, we have
2w+2*w+2*60 = 600
2w+2w+120 = 600

Combining like terms,
4w+120=600

Subtract 120 from both sides:
4w+120-120 = 600-120
4w = 480

Divide both sides by 4:
4w/4 = 480/4
w=120

The width is 120; the length will be 120+60 = 180

Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will Belinda receive from her insurance company when she files her claim?

Summary

Comprehensive Deductible: $375

Collision Deductible: $550

Premium of $625 for 4 months

Answers

She will receive $25.

They will take her claim and subtract the comprehensive deductible from it (comprehensive is the insurance that covers theft, not collision).

400-375=25

Tommy has a history test on Monday morning. He writes down the number of minutes he studies for the test each day for a week. Using his chart, calculate the average number of minutes he studied each day. If necessary, round your answer to the nearest tenth.    Day       Mins
                          Monday-30
                          Tuesday-20
                          Wednesday-0
                          Thursday-0
                          Friday-0
                          Saturday-0
                          Sunday-120

Answers

To find the average, add up all the numbers, then divide that answer by the quantity of numbers.

STEP 1:
add all numbers

=30 + 20 + 0 + 0 + 0 + 0 + 120
=170 total


STEP 2:
divide total from step 1 by 7 (total quantity of numbers given, including zeros)

=170 ÷ 7
=24.2857
=24.3 rounded to nearest tenth


***You could also calculate the average by adding only non-zero results (20,30,120) and then dividing by 3 (the quantity of only non-zero numbers).


ANSWER: The average number of minutes studied per day is 24.3.

Hope this helps! :)

Answer:

The Answer for this question is merely 30.7

Step-by-step explanation:


The diameter of a normal front wheel on a bicycle is 24 in. Find the circumference of a circle... DUE TODAY HELPP

Answers

The circumference of a circle with diameter is:
c = πd
c = π(24)
the circumference is about 75.4 inches (I used pi not 3.14)

HELP XD : Brainliest to best
Math
10 points

Answers

She should use the spinning wheel because its a 2/12 chance, with a wheel its a 1/6 chance.
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