3 years ago

How many different combinations can there be of four numbers?

Mathematics

1 answer:

Pavel [41]3 years ago

4 0

We can use a factorial for this:

4! = 4*3*2*1 = 24

There are 24 combinations of 4 numbers.

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The graph of y=f(x)y=f(x) is shown below. Find all values of xx for which f(x)>0f(x)>0

Rzqust [24]

Answer:

(-∞, -7) ∪ (-3, ∞)

Step-by-step explanation:

The line y=0 is the x-axis. The graph is above the x-axis for x < -7 and for x > -3. The solution set is ...

(-∞, -7) ∪ (-3, ∞)

4 0

2 years ago

If sec ⁡ θ = − 2 secθ=−2 and the reference angle of θ θ is 6 0 ∘ 60 ∘ , find both angles in degrees from 0 ∘ ≤ θ < 36 0 ∘ 0 ∘

jek_recluse [69]

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3 years ago

Solve for x. round to the nearest hundredth if necessary.

iris [78.8K]

Answer: $x=11.47$

Step-by-step explanation:

Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.

Therefore, you need to remember the following identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Then, knowing that:

$\alpha=55\°\\adjacent=x\\hypotenuse=20$

You need to substitute these values into $cos\alpha=\frac{adjacent}{hypotenuse}$ :

$cos(55\°)=\frac{x}{20}$

Now, you can solve for "x":

$20*cos(55\°)=x\\x=11.471$

Rounded to the nearest hundreth:

$x=11.47$

6 0

3 years ago

Ten subtracted from the quotient of a number and 7 is less than -6

Tresset [83]

Answer: (x ÷ 7) - 10 < -6

Step-by-step explanation:

4 0

3 years ago

A fence completely surrounds a pool,that is 30 feet by 10 feet.what is the approximate length,in feet,of the fence

tamaranim1 [39]

Because the fence's dimensions is 30 feet by 10 feet, you can assume that one side of the pool is 30 feet while the other, non-congruent side, is 10 feet. The formula for perimeter, which you are trying to find, is 2L+2W=P. In this problem, 30 will be your L and 10 will be your W. Therefore, 2(30) +2(10)=80.

So 80 feet will be your answer.

4 0

3 years ago