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3 years ago

Evaluate sine, cosine, and tangent for -5pie/6

Mathematics

1 answer:

elena55 [62]3 years ago

8 0

Answer:

i need more info on this question

Step-by-step explanation:

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Allushta [10]

Answer:

why you color out the first part? what exctly is the question?

Step-by-step explanation:

6 0

3 years ago

2 trains leave the station at the same time. Train A is traveling 16 miles slower than train B. The two trains are 720 miles apa

Ber [7]

Answer: the rate of speed for train A is 66 miles per hour.

Step-by-step explanation:

Let x represent the speed of train B.

2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.

The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.

Distance = speed × time

Distance travelled by train A after 4 hours is

4(x - 16) = 4x - 64

Distance travelled by train B after 4 hours is

4 × x = 4x

Since the total distance travelled by both trains is 720 miles, then

4x - 64 + 4x = 720

8x = 720 - 64 = 656

x = 656/8 = 82 miles per hour

The speed of train A would be

82 - 16 = 66 miles per hour.

6 0

3 years ago

Solve the system: 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

Solution:

Let us assume,

$a = \frac{1}{x}\\\\b = \frac{1}{y}$

Given system of equations are:

$\frac{2}{x} - \frac{3}{y} = -5$

$\frac{4}{x} + \frac{6}{y} = 14$

Rewrite the equation using "a" and "b"

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

Add eqn 2 and eqn 3

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

$a = \frac{4}{8}\\\\a = \frac{1}{2}$

Substitute a = 1/2 in eqn 1

$2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2$

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

$a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2$

Substitute b = 2 in assumed value

$b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}$

Thus the solution is $x = 2 \text{ and } y = \frac{1}{2}$

3 0

3 years ago

How many numbers have absolute value 3?

kirill115 [55]

Answer:

how many numbers have absolute value 3? zero is your answer

how many numbers have absolute value a, if a>0? your answer is also zero

Step-by-step explanation:

4 0

3 years ago

Consider the graph of the function f(x)=2x.

77julia77 [94]

Given:

The parent function is:

$f(x)=2^x$

The other function is:

$g(x)=2f(x)$

To find:

The statement that describes a key feature of function g.

Solution:

We have,

$f(x)=2^x$

$g(x)=2f(x)$

Using these two functions, we get

$g(x)=2(2)^x$

Putting $x=0$ , we get

$g(x)=2(2)^{(0)}$

$g(x)=2(1)$

$g(x)=2$

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that $g(x)\to 0$ as $x\to -\infty$ and it will never intersect the line $y=0$ . It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

3 0

2 years ago

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