Answer:
Component form of u is (-18,13)
The magnitude of u is 22.2
Step-by-step explanation:
The component form of a vector is an ordered pair that describe the change is x and y values
This is mathematically expressed as (Δx,Δy) where Δx=x₂-x₁ and Δy=y₂-y₁
Given ;
Initial points of the vector as (14,-6)
Terminal point of the vector as (-4,7)
Here x₁=14,x₂=-4, y₁=-6 ,y₂=7
The component form of the vector u is (-4-14,7--6) =(-18,13)
Finding Magnitude of the vector
║u=√(x₂-x₁)²+(y₂-y₁)²
║u=√-18²+13²
║u=√324+169
║u=√493
║u=22.2
Given that , Length of Base and Hypotenuse is 12 cm and 24 cm , respectively .
Need To Find : The measure of Angle x .
<em>As </em><em>We </em><em>know </em><em>that </em>,
Cos ∅ = Base / Hypotenuse
ㅤㅤ <u>By </u><u>Substituting </u><u>known </u><u>Values </u><u>:</u>
ㅤ⤀Cos x = 12/24
ㅤ⤀Cos x = ½
ㅤ⤀Cos 60⁰ = ½
Therefore,
Step 1 :
Equation at the end of step 1 :
15
((——•(m6))•(0-2m2))•4
10
Step 2 :
3
Simplify —
2
Equation at the end of step 2 :
3
((— • m6) • -2m2) • 4
2
Step 3 :
Equation at the end of step 3 :
3m6
(——— • -2m2) • 4
2
Step 4 :
Multiplying exponential expressions :
4.1 m6 multiplied by m2 = m(6 + 2) = m8
Canceling Out :
4.2 Canceling out 2 as it appears on both sides of the fraction line
Equation at the end of step 4 :
-3m8 • 4
Step 5 :
Final result :
-12m8
Answer:
C. The axis is flipped at that point.
The measure which is closest to the volume of Luis's globe is; 6301.2in³
<h3>Volume of a sphere</h3>
If the circumference of the globe along the equator is 72inches along the equator;
Hence, the radius of the globe can be evaluated as;
r = 11.46in.
On this note, the Volume, V of the globe is;
- V = (4/3) × 3.14 × 11.46³
V = 6301.2in³
Read more on volume of a sphere;
brainly.com/question/22807400
