All categories

3 years ago

Please Help! Find the exact value: csec 22pi/3

1 answer:

6 0

Is this csec as in cosecant? If so, that would be csc 22pi/3. Through trigonometric identities, csc is just the inverse of sin. So it is equivalent to 1/sin(22pi/3). Make sure that your calculator is in radian mode. Then input this:

1/sin(22pi/3) = -1.15

If you actually meant sec 22pi/3, then that is equivalent to 1/cos(22pi/3):

1/cos(22pi/3) = -2

Either of those two is the answer :)

You might be interested in

Shelly has a gift card for her favorite restaurant for $15. She wants to treat a group of her friends to sandwiches at the resta

konstantin123 [22]

How many friends are there?

8 0

3 years ago

Yesterday, Ryan had 150 baseball cards. Today, he got d more. Using d , write an expression for the total number of baseball car

natali 33 [55]

Hey there!

Here is an expression for the number of cards Ryan may have.

150 + d = ?

Hope this helps!

4 0

3 years ago

John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i

Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

"John paid $222 for four hours of skiing and two hours boating":

$4x+2y=222$

"He paid $213 for two hours skiing and three hours boating":

$2x+3y=213$

Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y. Work shown below.

$2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51$

Hence, y = 51

Now, substituting this y value into the 1st equation and solving for x will give us the value of x.

$First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30$

Hence, skiing costs $30 per hour and boating costs $51 per hour.

4 0

3 years ago

Find m∠FGL.

Lady bird [3.3K]

Answer:

C) $\displaystyle 30°$

Step-by-step explanation:

Use the Angle Addition Postulate to figure this out:

$\displaystyle m∠FGL + m∠LGH = m∠FGH$

165° = (x + 15)° + (9x)°

165° = (15 + 10x)°

- 15° - 15°

_____________

$\displaystyle \frac{150°}{10} = \frac{[10x]°}{10} \\ \\$

$\displaystyle 15° = x$ [Plug this back into the modeled expression for the $m∠FGL$ to get the angle measure of 30°]; $\displaystyle 30° = m∠FGL$

I am joyous to assist you anytime.

3 0

3 years ago

Read 2 more answers

I need a specific explanation of how to answer this

zimovet [89]

A rectangle has two dimensions, width and length, and the area of it is their product.

since we know its area is 3x²-11x-4, then the two factors from that trinomial are the likely width and length, namely (3x + 1) (x - 4).

you can check them with FOIL.

5 0

3 years ago