Answer:
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven
Step-by-step explanation:
Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.
Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.
a²+b²=c²
a²=c²-b²
a²=4²-3²
a²=16-9
a²=7
a=√7
Then Cos ∅= opposite/ adjacent
=√7/4
Then Tan ∅ = opposite/adjacent
=3/√7
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven.
Answer:
cos(x) = square root 2 over 2; tan(x) = 1
Step-by-step explanation:
was, before it was rationalized,
Therefore,
The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,
and
since tangent is side opposite (1) over side adjacent (1),
tan(x) = 1
Answer:
Density of steel = 80.73 gm/
Step-by-step explanation:
The figure is made up of cuboid and square pyramid.
Height of cuboid, h = 9 cm
Length of cuboid, l = 6 cm
Width of cuboid, w = 6 cm
Volume of cuboid is given by the formula:
Density of Wood , 
= 0.68g/
We know that formula of Density is:
Putting the values:
Total weight = 
970 = 220.32 
= 749.68 gm
Volume of pyramid is given as:
Base is a square with side 6 cm
Density of Steel/Pyramid:
Substitution
Step 1: Solve for x or y in either of the two equations. In the equations that you are given, y is already solved for you.
Step 2: Plug in 2x + 6 into the opposite equation.
2x + 6 = -3x + 16
- 6 - 6
------------------------------
2x = -3x + 10
+ 3x + 3x
------------------------------
5x = 10
------ ------
5 5
x = 2
Step 3: Plug in the x value into either equation.
y = 2(2) + 6
y = 4 + 6
y = 10
The final answer gets expressed as a coordinate pair: (x,y) (2,10)
I hope this helps you :)
