Answer:
2√13
Step-by-step explanation:
The distance formula is useful for this. One end of the vector is (0, 0), so the measure of its length is ...
d = √((x2 -x1)² +(y2 -y1)²) = √((6 -0)² +(-4-0)²)
= √(36 +16) = √52 = √(4·13)
d = 2√13 = |(6, -4)|
Answer:
The length of third side is: 6.3
Step-by-step explanation:
Given triangle is a right triangle where
Base = ?
Perpendicular = 5
Hypotenuse = 8
Let x be the base
As it is a right-angled triangle, Pythagoras theorem can be used to find the third side

Putting the known values

Taking square root on both sides

Rounding off to the nearest 10th
Base = 6.3
Hence,
The length of third side is: 6.3
Answer:
51
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
2p² + 3s
Step 2: Define variables
<em>p</em> = 3
<em>s</em> = 11
Step 3: Replace variables
2(3)² + 3(11)
Step 4: Evaluate
2(9) + 33
18 + 33
51
Answer
As per the statement:
Height of the building(h)= 30 feet
Angle of elevation
= 41°
We have to find the distance of observer from the base of the building.
Using tangent ratio:

You can see the diagram as shown below.
Opposite side = height of the building = 30 feet.
Adjacent side = distance of observer from the base of the building = x (let)
Then;

0.86928673781 = 
By cross multiply we have;

Divide by 0.86928673781 both sides we get;
x = 34.51 m
Therefore, the distance of observer from the base of the building is 34.51 m
Answer:
Range: {2,3,4,5,7}
Domain: { 2,3,8,10,14}
I have answered have a good day.