Answer:
n= -2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
The square root of 24/4= 1.22474487139
Answer:


Step-by-step explanation:
We are asked to find the circumference and area of a circle with a radius of 3 meters.
<h3>1. Circumference </h3>
The circumference is the perimeter of a circle. It is calculated using the following formula:

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.
The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

Multiply.

<h3>2. Area </h3>
The area is the size of the circle's surface. It is calculated using the following formula.

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

Solve the exponent.
- (3 m)² = (3 m)(3 m)= 9 m²


The circumference is 18.84 meters and the area is 28.26 square meters.
Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that
and
.
Thus:


Let's do the first part first: (Recall how to divide fractions)

For the second term:

So, all together: (same denominator; combine terms)

Note the numerator; it can be derived from the Pythagorean Identity:

Thus, we can substitute the numerator:

Everything simplifies to 1.
Write a number as prime factors means to write the number as a product of numbers, all of which are prime. We start by checking whether the number is divisible by prime numbers, starting from the smallest prime number,2.
let's divide 24 into its factors.
first, it's even, so it must divide by 2
24=2*12
12 is also even, so it must divide by 2:
24=2*12=2*2*6
6 is also even, so it must divide by 2:
24=2*12=2*2*6=2*2*2*3
3 is not even, but it's a prime number.
so the solution is
2*2*2*3