Answer:
w=5
Step-by-step explanation:
the triangle has the same size of area as the side of the rectangle so therefore 5
Good news: they are all like terms
9x + 5x -3x -8x = 3x
Answer with Step-by-step explanation:
We are given that
u+ v and u-v are orthogonal
We have to prove that u and v must have the same length.
When two vector a and b are orthogonal then
By using the property
We know that
Magnitude is always positive
When power of base on both sides are equal then base will be equal
Therefore,
Hence, the length of vectors u and v must have the same length.
Answer:
1 3/5 = 8
2 = 10
Step-by-step explanation:
1 3/5 is 1.60 in decimal form so divide 1.6/0.2
2 is 2 so divide that by 0.2
Answer:
The answer is 3030.72 m³
Step-by-step explanation:
Please refer to attached file for graphical representation.
Formulas used:
Area = (a*b)/2
Trigonometry: Tan (t) = opposite/adjacent
Assume:
Villager plot has 3 sides: hypotenuse=C, adjacent=A, opposite=B
Plot given has 3 sides: hypotenuse=z, adjacent=y, opposite=x
Angle common between them is t.
<u>Step 1</u>:
For t:
Tan (t) = a/b
Tan (t) = 123/50
Tan (t) = 2.46
<u>Step 2:</u>
For y:
Tan (t) = y/x
2.46 = y/6
y = 2.46*6
y = 14.76
<u>Step 3:</u>
Villagers old plot area: B = (a*b)/2 = (123*50)/2
B = 3075 m³
<u>Step 4:</u>
Plot donated area: C = (x*y)/2 = (6*14.76)/2
C = 44.28 m³
<u>Step 5:</u>
Villager remaining plot:
A = B-C
A= 3075-44.28
A = 3030.72 m³
