Use the triangle formed by the height of the trapezoid to find the lengths of the two sides of the trapezoid and the length of b2:
tan(60)=oppositeadjacent . Adjacent=5tan(60)=2.89 cm.
This finds the base of the triangle, which can be added twice to b1 to find b2: b2=8+2.89+2.89=13.78 cm.
Now, use the same triangle to find the length of the sides.
sin(60)=oppositehypotenuse . Hypotenuse=5sin(60)=5.77 cm.
Lastly, add all of the lengths together: b1+b2+2(l)=8+(2.78+2.78+8)+2(5.77)=33.32 cm.
Answer:
27
Step-by-step explanation:
30/2=15 +12=27
Answer:i think b
Step-by-step explanation:
SAS because of the side, angle and the reflexive which is a side.
A) Vectors are usually given in the form (x , y), therefore the x-component of v is 1.
B) Similarly to point A), the y-component of w is 6
C) the magnitude of the vector v+w is given by:
√[(x₁ + x₂)² + (y₁ + y₂)²] = √[(1 + (-2))² + (-3 + 6)²] = √(1 + 9) =√10
D) Compute -2 · v = (-2·1 , -2·(-3)) = (-2 , 6) = w
Therefore options B) and D) are true.