Ask question

Ask question

All categories

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?

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

What are the values of m and e in the diagram below?<br><br>

elena55 [62]

Please add the picture.

4 0

3 years ago

What is the difference between Compound Interest and simple interest???

oksian1 [2.3K]

Answer:

Simple interest is calculated using initial principle while compound interest is calculated considering the interest also .

Step-by-step explanation:

Interest is the cost of borrowing money, where the borrower pays a fee to the lender for using his money. The interest, typically expressed as a percentage, can either be compounded or simple .

Simple interest is based on the principal amount , while compound interest is based on the principal amount and the interest that adds onto it in every period and the final principle is used for calculating the interest.

Simple interest is calculated on the principal amount of a loan and it's easier to find out than compound interest.

4 0

4 years ago

Please help due tomorrow

mel-nik [20]

Answer: x= 2.5, y = 10

Step-by-step explanation:

<u><em>I'm going to assume that these photocopies are proportional in relations to each other.</em></u>

If they're proportional, you can set up two proportions:

$1) \frac{x}{5} =\frac{3}{6} \\\\2) \frac{5}{y} =\frac{3}{6}$

And cross-multiply:

$1) 6x = 5*3 \\\\2) 3y = 5*6$

Then solved for x and y:

$1) 6x = 15\\x=\frac{15}{6} =\frac{5}{2} =2.5 \\\\2) 3y = 30\\y=\frac{30}{3} =10$

5 0

3 years ago

A number cube is rolled 360 times and the results are recorded as follows: 41 ones, 54 twos, 62 threes, 75 fours, 33 fives, and

cestrela7 [59]

Let's attribute a to equal probability of 2 and b to equal probability of 3
A=54/360 B=62/360
"or" means you combine the probabilities which means that AvB =116/360
now simply divide 116 by 360 and you get your answer which is 0.32
A is the correct answer my dude

7 0

3 years ago

A van starts off 191 miles directly north from the city of Morristown. It travels due east at a speed of 25 miles per hour. Afte

coldgirl [10]

Answer:

Distance between the van and Morristown is changing at the rate of 13.22 miles per hour.

Step-by-step explanation:

From the figure attached,

Van starts from C (City of Morristown), reaches the point A 191 miles due North and then it travels with a speed of 25 miles per hour due East from A towards B.

We have to calculate the rate of change of distance BC, when the van reaches point B which is 119 miles away from A.

By Pythagoras theorem in the triangle ABC,

$BC^{2}=AB^{2}+AC^{2}$

Distance AC is constant equal to 191 mi.

By differentiating the equation with respect to time 't'

$2BC.\frac{d(BC)}{dt}=0+2AB.\frac{d(AB)}{dt}$

$BC.\frac{d(BC)}{dt}=AB.\frac{d(AB)}{dt}$

Since BC² = (119)²+ (191)²

BC = √50642 = 225.04 miles

From the differential equation,

$(225.03).\frac{d(BC)}{dt}=119\times 25$ [Since $\frac{d(AB)}{dt}=25$ miles per hour]

$\frac{d(BC)}{dt}=13.22$ miles per hour

Therefore, distance between the van and Morristown is changing at the rate of 13.22 miles per hour.

4 0

3 years ago