A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the
KM² = KE² + ME²KM² = 8² + (3√5)² = 64 + 9x5KM = √109KM = 10.44
b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
KN = LM + 2x 2x = KE + DN2x = 8+8x = 8LM = 3x = 3*8 = 24
c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
∠K = ∠N Hence KE = DN the distance ED = LMhence KN = KE + ED + DN since ED = LM = 24and KE + DN = 16KN = 16 + 24 = 40
d)Find area KLMNArea of trapezium can be calculated using the formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM) = 1/2 * 3√5 * (40 + 24) = 1/2 * 3√5 * 64 = 3 x 2.23 * 32 = 214.66 units²
Answer:
π/90 or 0.0035 units
Step-by-step explanation:
equation: <em>length of the arc = ∠of the angle/360 * circumference</em>
Substitute: <em>S = 0.4/360 * 10π</em> --> C = 2πr
Simplify: S = 1/900 * 10π
Simplify: S = π/90 ≈ 0.003489 units
Answer:
ghgyeryeughheyyrgjehrgb ehgryeurghekdrdrg dhgidrg
-10 = -10 + 7m
Add 10 to each side: 0 = 7m
Divide each side by 7 : 0 = m
Please take a second and just LOOK at the equation you started with.
It says:
-- You have this number '-10' .
-- Your number -10 is going to be exactly the same size
after you add 7 of something to it.
The ONLY way that could happen is if the 'something' is 'nothing' .
' m ' must be nothing.
Answer:
The speed of Usain Bolt is 0.194 miles per minutes to complete the marathon.
Step-by-step explanation:
Given as :
The Distance of marathon = 26.2 unit
The time taken to complete marathon = 2 hours and 15 minutes
= 120 + 15 = 135 minutes
Let The constant speed of Usain Bolt = S unit per minutes
So, Speed = 
Or, S = 
∴ S = 0.194 unit per minutes
Hence The speed of Usain Bolt is 0.194 miles per minutes to complete the marathon. Answer
