1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
3 years ago
11

1. If sin y = sin 35, y≠35, what is the value of y? 2. If cos y = cos z = - cos 35, y≠z≠35, what are the values of y and z? 3. I

f sin y = sin x and x<90, y≠x, what is the value of y in terms of x? 4. If sin y = sin z = -sin x and x<90, y≠z≠x, what are the values of y and z in terms of x? 5. If cos y = cos x and x<90, y≠x, what are the value of y and z in terms of x? 6. If cos y = cos z = - cos x and x<90, y≠z≠x, what are the values of y and z in terms of x?
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

1. y = 145  

2. y = 145 and z = 215  

3. y = 180 - x  

4. y = 180 + x and z = 360 - x  

5. y = 360 - x

6. y = 180 - x and z = 180 + x

Step-by-step explanation:

1. siny = sin35

Since sin35 is positive, siny is in the second quadrant.

So siny = sin(180 - 35) = sin35

siny = sin145 = sin35

Since siny = sin145, y = 145

2. cosy = cosz = -cos35

since -cos35 is negative in the second and third quadrant,

cosy = cos(180 - 35) = -cos35 and cosz = cos(180 + 35) = -cos35

cosy = cos145 = -cos35 and cosz = cos215 = -cos35

Since cosy = cos145 and cosz = cos215,

y = 145 and z = 215

3. If siny = sinx and x < 90,

since x < 90, sinx is in the first quadrant and siny is in the second quadrant since it is positive

siny = sin(180 - x) = sinx

Since siny = sin(180 - x)

y = 180 - x

4. siny = sinz = -sinx and x< 90

since -sinx is negative and sine is negative in the third and fourth quadrant respectively, siny and sinz are in the third and fourth quadrant,

siny = sin(180 + x) = -siny and sinz = sin(360 - x) = -sinx

Since siny = sin(180 + x) and sinz = sin(360 - x)

y = 180 + x and z = 360 - x

5. cosy = cosx and x < 90

Since cosx is positive in the first and fourth quadrant, and x is in the first quadrant,

cosy = cos(360 - x) = cosx

cosy = cos(360 - x)

y = 360 - x

6. cosy = cosz = -cosx  and x< 90

since -cosx is negative in the second and third quadrant,

cosy = cos(180 - x) = -cosx and cosz = cos(180 + x) = -cosx

cosy = cos(180 - x) and cosz = cos(180 + x)

y = 180 - x and z = 180 + x

You might be interested in
Stuck at this question I need in 5 mins! Need it ASAP
podryga [215]

Answer:45



Step-by-step explanation:


6 0
3 years ago
10.) Fishermen have been studying how the number of dead sea turtles in the local bay is related to the pollution index of the b
alexdok [17]

Answer:

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the form:

f (x) = m*x + b   or  y=m*x + b

where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.

The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis.  According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.

You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118.   Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.

5 0
3 years ago
the description of a TV is based on the diagonal length. if the height of a TV is 10 inches and the width is 7 inches, what is t
borishaifa [10]
To calculate it use pythagoras: a^2+b^2=c^2
7^2+10^2=49+100=149

calculate the square root: \sqrt{149}=12.2
so the diagonal is about 12.2 inches long

8 0
3 years ago
A grandsons age in years is equal to his grandfather's age in years. The difference of the grandsons age in years and the grandf
garik1379 [7]

The age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the age of the grandsons is x years and

age of the grandfather's age is y years

Here some data are misprinted, so we are assuming the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Then according to the problem:

12x = y  (as in 1 year, there are 12 months)

y -x = 77 (as difference in age is 77)

After solving both equations, we get:

x = 7 years and y = 84 years

Thus, the age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

4 0
2 years ago
How much Work is used when 25N of force is done over 100m?​
murzikaleks [220]

Step-by-step explanation:

we know that

Work =f*d

=25*100

=2500Joule

therefore work done is 2500Joule

4 0
2 years ago
Other questions:
  • What is the volume of a sphere with a surface area of 452.39cm^2? Round to the nearest hundredth.
    9·2 answers
  • Verify the identity. Justify each step.
    6·1 answer
  • A compostion of transformation is
    5·1 answer
  • 7x - 11 = 5x + 25 what is the answer to this question
    9·2 answers
  • Suppose you estimated square root of 12 by averaging a square like rectngle.What would be a reasonable estimation?​
    15·1 answer
  • Taree fourts of the 64 books were math books. determine the percent of the books that were math books.​
    11·1 answer
  • Write an expression equivalent to m + m + m + m that is a product of a coefficient and a variable.
    7·2 answers
  • Need help quick please
    5·1 answer
  • What is the y-intercept of the table below?
    14·1 answer
  • A group of workers can plant 54 acres in 9 days. What is their rate in acres per day?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!