Which equation is equivalent to 60% of 25.

Find the exact value of sin 105 degrees

STALIN [3.7K]

Answer:

$\frac{\sqrt{6}+\sqrt{2}}{4}$

Step-by-step explanation:

I'm going to write 105 as a sum of numbers on the unit circle.

If I do that, I must use the sum identity for sine.

$\sin(105)=\sin(60+45)$

$\sin(60)\cos(45)+\sin(45)\cos(60)$

Plug in the values for sin(60),cos(45), sin(45),cos(60)

$\frac{\sqrt{3}}{2}\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\frac{1}{2}$

$\frac{\sqrt{3}\sqrt{2}+\sqrt{2}}{4}$

$\frac{\sqrt{6}+\sqrt{2}}{4}$

4 0

3 years ago

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Someone pls pls pls help me

WINSTONCH [101]

Answer:

A, C, D, E

Step-by-step explanation:

According to the rational root theorem, any rational roots will be of the form ...

±(divisor of the constant)/(divisor of the leading coefficient)

The constant is 8, and its divisors are 1, 2, 4, 8.

The leading coefficient is 6, and its divisors are 1, 2, 3, 6.

So, no rational root will have 3 in the numerator, eliminating choices B and F. The remaining choices are possible rational roots:

A, 2/3
C, -8
D, 4
E, -1/6

8 0

3 years ago

To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 82,74,82,and 74.Wha

motikmotik

Answer:

88 score.

Step-by-step explanation:

Given:

To get a B in math, Alexandria Pappas must average 80 on five tests.

Scores on the first four tests were 82, 74, 82, and 74.

Question asked:

What is the lowest score that she can get on the last test and still get a B?

Solution:

Let lowest score she can get on the last test = $x$

As we know:

$Average=\frac{Sum\ of \ observations}{Number\ of\ observations}\\ \\ 80=\frac{82+74+82+74+x}{5} \\ \\$

By cross multiplication:-

$80\times5=312+x \\ \\400=312+x\\Subtracting\ both\ sides\ by\ 312\\400-312=312-312+x\\88=x$

Thus, she can get 88 score on the last test to get a B in math.

5 0

3 years ago

A total of 17,100 seats are still available for the next hockey game. If 62% of the tickets are sold, how many seats are in the

MrRa [10]

Answer:

We have

seats x ( 62 / 100 ) = (seats - 17,100);

seats x 62 = 100 x (seats - 17,100);

seats x 62 = seats x 100 - 1710000;

1,710,000 = seats x 38;

seats = 1,710,000 ÷ 38;

seats = 45,000;

The correct answer is c. 45,000 seats;

Step-by-step explanation:

6 0

3 years ago

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The rule for Function A is y= -2/3x

Rom4ik [11]

Answer:

Both functions have negative rates of change

Function B has a greater rate of change than Function A

Step-by-step explanation:

we know that

Function A

The rule for Function A is

$y=-\frac{2}{3}x$

This is the equation of a proportional relationship (the line passes through the origin)

The slope is equal to $m=-\frac{2}{3}$

Function B

Find the equation of the function B

we have the points (-2,0) and (0,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-2-0}{0+2}$

$m=\frac{-2}{2}$

$m=-1$

The equation of the function B in slope intercept form is equal to

$y=mx+b$

we have

$m=-1\\b=-2$

substitute

$y=-x-2$

Verify each statement

Option 1) Both functions have negative rates of change

The statement is true

Because, the rate of change is the slope of the linear equation

Function A ----> $m=-\frac{2}{3}$

Function B ----> $m=-1$

Option 2) Both functions have the same rate of change.

The statement is false (see the explanation)

The rate of change are different ( m=-2/3 and m=-1)

Option 3) When graphed, Function A and Function B are parallel

The statement is false

When graphed, Function A and Function B are intersecting lines, because their slopes are different

Option 4) Function B has a greater rate of change than Function A

The statement is true

Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes

therefore

1 > 2/3

6 0

3 years ago