Answer:
Given the expression: 
Let the value of the given expression in radians be 
then;

......[1]
We know the value of 
Substitute the given value in [1] we have;

Since, the value of
is 0, therefore, the value of
is in the form of:
; where n is the integer.
At n =0, 1 and 2, {Since, n is the integer}
Value of
and
therefore, the answer in radians either
or
Answer:
Step-by-step explanation:
A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,
For finding the x intercept , <u>equate the given function with 0, we have ;</u>
Equate each factor with 0 ,
Divide both sides by 2 ,
Again ,
Taking squareroot on both sides,
Add 5 to both sides,
Similarly ,
<u>Hence</u><u> the</u><u> </u><u>x </u><u>Intercepts</u><u> </u><u>are </u><u>-</u><u>4</u><u> </u><u>,</u><u> </u><u>0</u><u> </u><u>and </u><u>5</u><u> </u><u>.</u>
{ See attachment also for graph } .
Answer:
7
Step-by-step explanation:
The order of operations tells you to start any evaluation by looking at the innermost set of parentheses first.
Here, that means your first step is to find the value of h(-3). You do that by finding the input (x) value -3 in the table for h(x), and locating the corresponding output, h(x), which is 2.
Now, the problem becomes evaluating g(2).
You do the same thing for that function: locate the input x=2 in the table for g(x) and find the corresponding output: 7.
Now, you know ...
g(h(-3)) = g(2) = 7
Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.