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3 years ago

If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

1 answer:

7 0

Sin x = square root (2) / 2

In order for us to get for cos x and tan x, first we need to know what
Hypotenuse, Adjacent, and Opposite sides.

sin x = opposite / hypotenuse.

adjacent = square root (hypotenuse^2 - opposite^2)
adjacent = square root (2^2 - square root(2)^2)
adjacent = square root (4 - 2)
adjacent = square root (2)

cos x = adjacent / hypotenuse
tan x = opposite / adjacent..

cos x = square root (2) / 2
tan x = square root (2) / square root (2) = 1

So, cos x = square root (2) / 2 and tan x = 1

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A ball is tossed up in the air at an initial rate of 50 ft/sec from 5 ft off the ground.

Fofino [41]

Answer with Step-by-step explanation:

Since we have given that

Initial velocity = 50 ft/sec = $v_0$

Initial height of ball = 5 feet = $h_0$

a. What type of function models the height (ℎ, in feet) of the ball after tt seconds?

As we know the function for height h with respect to time 't'.

$h(t)=-16t^2+v_0t+h_0\\\\h(t)=-16t^2+50t+5$

b. Explain what is happening to the height of the ball as it travels over a period of time (in tt seconds).

What function models the height, ℎ (in feet), of the ball over a period of time (in tt seconds)?

if it travels over a period of time then time becomes continuous interval . so it will use integration over a period of time

Our function becomes,

$h(t)=\int\limits^t_0 {-16t^2+50t+5} \, dt$

3 0

3 years ago

Your lunch account has $23 and you spend $2.20 each day on your lunch write an equation for the line

-BARSIC- [3]

Answer:

Assuming you mean until the lunch money balance runs out,

$2.20x = $23

Step-by-step explanation:

You spend $2.20 every day. If you are trying to find how many days until the lunch balance runs out, you need to put in X as your variable.

The last step is to set it equal to $23 dollars to be able to factor out the answer.

Hope this Helped!

4 0

3 years ago

5x=4y+8 3y=3x-3 using elimination

suter [353]

Let's rewrite the equation with x and y on the left side of the equal sign.
5x-4y=8 --------(1)
3x-3y=3---------(2)
Divide equation (2) by 3,
x - y= 1
now we have,
5x-4y = 8 --------(1)
x - y = 1 ---------(2)
To eliminate x, multiply equation (2) by 5. This makes both the coefficients of x to be 5. Subtract the second equation from the first equation.
5x - 4y = 8
(2) * 5 5x - 5y = 5
(-) (+) (-)
----------------
0x +y =3
Therefore, y=3
Substitute the value of y, in any one of the two equations. Let's substitute y in the second equation.
x-3=1
x=4
x=4 and y=3

8 0

3 years ago

Lf 7 + 3x = 22. then 2x = ?

Sloan [31]

Answer:

2x = 10

Step-by-step explanation:

7 + 3x = 22

-7 -7

Subtract 7 from both sides (you are trying to get the variable alone, and to do that, you have to get every other number to 0. 7 - 7 = 0. BUT, whatever you do, you have to do to both sides.)

3x = 15

/3 /3

Divide both sides by three to get the variable alone.

x = 5

Now, plug in the value of x to the second equation and solve.

2(5) = ? --> 10

3 0

3 years ago

If triangle PQR is similar to SQT, find the value of

ankoles [38]

Answer:

x = 31.4