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3 years ago

Find sin(u/2) if tan(u)=-7.721 and u is in quadrant 4

Mathematics

1 answer:

morpeh [17]3 years ago

7 0

Answer:

.6601

Step-by-step explanation:

to find u, which we assume is an angle of course, we can take arctan of both sides. so arctan(-7.721) = -1.4420. this angle is in quadrant 4, but it is not in the range. In this instance you just go around the circle again, or add 2pi, which gets us 4.8412. You can check and you get the same answer if you take the tangent of either.

So now we have a number in the appropriate range in the appropriate quadrant. That means we have the correct angle. The question asks what is sine of that angle cut in half. so sin(4.8412/2), which gets you your answer. let em know if something didn't make sense.

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For a certain data set the regression equation is y = 2 + 3x. The correlation coefficient between y and x in this data set _____

lozanna [386]

Answer:

C. Must be 1

Step-by-step explanation:

The correlation coefficient of an equation represents the relation between the two variable ( dependent and independent )

It lies between -1 to 1,

If an equation has strongly positive correlation then the value of correlation coefficient is 1,

If there is no relation then the value of correlation is 0,

If there is strongly negative relation then the value of correlation coefficient is -1,

Here, the equation is,

y = 2 + 3x

Since, the value of y is increasing with increasing the value of x,

We can say that there is strong positive relation between the variables x and y,

Hence, by the above statements,

The correlation coefficient between y and x in this data set must be 1.

Option 'C' is correct.

7 0

3 years ago

A system of equations has infinitely many solutions. If 2y - 4x = 6 is one of the equations, which could be the other

Serjik [45]

Answer:

-y = -2x - 3

Option 3

Step-by-step explanation:

When equations are equivalent, they will have infinitely many solutions.

If you want to find an equivalent equation, you can multiply/divide every term in the equation by the same number. You can also rearrange the equation.

Since the options mostly have "y" by itself, start by rearranging to isolate "y" in the given equation.

Move all the other numbers to the right of the equal sign except for "y". To move a number, apply its reverse operation to the entire equation.

Do reverse operations in reverse BEDMAS order.

2y - 4x = 6 Move "-4x" first. It's reverse is +4x.

2y - 4x + 4x = 6 + 4x

2y = 6 + 4x Move the "2" in 2y. Divide the whole equation by 2.

2y/2 = 6/2 + 4x/2

y = 3 + 2x Rearrange to look like the answer choices.

y = 2x + 3

This equation looks like option 3 except every term has a different negative/positive.

y = 2x + 3 -y = -2x - 3

We can multiply every term by -1.

y = 2x + 3

y*-1 = 2x*-1 + 3*-1

-y = -2x + (-3) Negative and positive make a negative

-y = -2x - 3 Same as option 3

6 0

3 years ago

Read 2 more answers

Ignore my errors please. how would i solve these problems... please explain step by step

chubhunter [2.5K]

1.

Make the fractions improper.

72/12 x 19/6 = 19.

2.

Area = L x W

L = 3 1/6 x
W = 6 7/12

= 19.

#1 = 19 feet
#2 = 9 3/4 feet

5 0

2 years ago

1. If = 1, = −2 = −1 then find the value of the following

Mariana [72]

Answer:

hope its helpful......

5 0

3 years ago

Cuánto costará cercar una finca cuadrada de 14 metros de lado a razón de $150 el metro lineal de alambrada

disa [49]

Answer:

$ 2100

Step-by-step explanation:

De la pregunta anterior:

1 metro de cerca de alambre = $ 150

14 metros = x

Cruz multiplicar

x = 14 × $ 150

x = $ 2100

Por lo tanto, costaría $ 2100 por una cerca de 14 metros

6 0

2 years ago