Answer:
384 sq mm
Step-by-step explanation:
Remember that the diagonals of a rhombus are perpendicular bisectors of each other.
So, one side of the rhombus, half the longer diag and half the shorter diag form the 3 sides of a right triangle
with the rhombus side being the hypotenuse.
In this case, let the shorter diagnoal be x mm. In the right triangle,
Hypotenuse = 20
One side = 32/2 = 16
Other side = x/2
Applying Pythagoras principle,
[ check the file attatched ] (taking only the positive square root)
So the shorter diagonal = 12*2 = 24 mm
Area of the rhombus is given by the formula (1/2)*d1*d2 where d1, d2 are the 2 diagonals.
Here, the area = (1/2)*32*24 = 32*12 = 384 sq mm
Answer: Loki will win the race.
Step-by-step explanation:
Rje following took place based on the question:
Doug gets a 20 meter head start, but then he sits down and refuses to walk. It didn't finish the race.
Pogo gets a 10 meter head start and walks 1 meter every second. Since he has 20m head start, he will have 20 meters left to walk which will be take 20 seconds.
Loki gets no head start and walks 3 meters every second. To walk 30meter will be: (30/3) = 10 seconds.
Brung like terms together:-
1/4 y - 1 3/4 y + 11/2 + 2 - 12
= - 1 1/2 y + 11/2 - 10
= - 1 1/2y - 9/2
Answer:
Let's solve for x.
4x+2y=345x−6y
Step 1: Add -345x to both sides.
4x+2y+−345x=345x−6y+−345x
−341x+2y=−6y
Step 2: Add -2y to both sides.
−341x+2y+−2y=−6y+−2y
−341x=−8y
Step 3: Divide both sides by -341.
−341x
−341
=
−8y
−341
x=
8
341
y
Step-by-step explanation: