Step-by-step explanation:
3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,
2y^2 = 12 ---> y^2 = 6
or
y = √6
4.This is an equilateral triangle of side 11 so
y = 11/2
To find x, use the definition of sine 60:
sin 60° = opp/hyp
= x/11
or
x = 11sin60° = (11√3)/2
So the problems ask to find and calculate the exact value of the trigonometric equation in the following equations and the best answers would be the following:
#1. sqrt(3)/3
#2. Arcsine of zero is 0
#3. x/sqrt(4-x^2)
I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications. Have a nice day
Answer:
Between 9 and 10.
Step-by-step explanation:
We know that √81 = 9 and that √100 = 10.
Since √95 is between √81 and √100, we know it will be between 9 and 10.
√95 = 9.74679
Step-by-step explanation:
Given inequality is
.
To graph that inequality, first we need to graph the line
. Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into
, we get:

Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:

Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into
.


0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;