Answer:
In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.
Answer:
m∠B =
.
Step-by-step explanation:
Since the three sides of the triangle are given, then we apply cosine rule.
=
+
- 2ac Cos B
But, a = 660 cm, b = 680 cm, and c = 100 cm.
So that;
=
+
-2(660 x 100) Cos B
462400 = 435600 + 10000 - 132000 Cos B
462400 = 445600 - 132000 Cos B
132000 Cos B = 445600 - 462400
= -16800
Cos B = 
= -0.1273
B =
-0.1273
= 
Thus, measure of ∠B is
.
Answer:
-The total area of a Rectangular Prism:

Step-by-step explanation:
-To find the total area of a rectangular prism, you need this formula:

Length
Width
Height
-Apply the length, width and height for the formula:

11 in
8 in
5 in
-Then, solve for the area:





So, the total area would be
.
Answer:
0
Step-by-step explanation:
The invese switches x and y so basically
if
f(21)=z then f⁻¹(z)=21
therefor
f(z)=21 and f⁻¹(21)=z
basically solve for the value that makes the functino equal 21
21=6(x+2)-3
add 3 both sides
24=6(x+2)
divide by 6
4=x+2
minus 2
2=x
answer is 2