Please help me and hurry

Mathematics

1 answer:

Darya [45]3 years ago

8 0

A and b equal each other

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A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional c

Firlakuza [10]

Answer:

If there are N students, the total cost will be:

C(N) = $500 + $5*N.

And we want the amount that each student pays to be equal or less than $15.

then:

C(N)/N ≤ $15.

Then the inequality that represents this situation is:

($500 + $5*N)/N ≤ $15.

Now, let's solve this:

($500 + $5*N) ≤ $15*N

$500 ≤ $15*N - $5*N

$500 ≤ $10*N

$500/$10 ≤ N

50 ≤ N

So the minimum number of students needed is 50.

7 0

3 years ago

How do you solve this? cosθ-tanθcosθ=0

laila [671]

First, lets note that $tan(\theta)\cdot cos(\theta)=sin(\theta)$ . This leads us with the following problem:

$cos(\theta)-sin(\theta)=0$

Lets add sin on both sides, and we get:

$cos(\theta)=sin(\theta)$

Now if we divide with sin on both sides we get:

$\frac{cos(\theta)}{sin(\theta)}=1$

Now we can remember how cot is defined, it is (cos/sin). So we have:

$cot(\theta)=1$

Now take the inverse of cot and we get:
$\theta=cot^{-1}(1)=\pi\cdot n+ \frac{\pi}{4} , \quad n\in \mathbb{Z}$

In general we have $cot^{-1}(1)=\frac{\pi}{4}$ , the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture: