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:
he would have to turn the car around and go straight I guess
Step-by-step explanation:
I think
The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation: f(z)=20+5z
Step-by-step explanation:
Given,
Delivery cost of 6 floral arrangements = $50.00
Delivery cost of 12 floral arrangements = $80.00
Let,
x be the constant rate for each floral arrangement.
y be the initial value.
According to given statement;
6x+y=50.00 Eqn 1
12x+y=80.00 Eqn 2
Subtracting Eqn 2 from Eqn 1
Dividing both sides by 6
Putting in Eqn 1;
The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation for the function;
Let z be the number of floral arrangements.
f(z) = initial fee + 5*Number of floral arrangements
f(z) = 20+5z
Keywords: function, subtraction
Learn more about functions at:
#LearnwithBrainly
If either Joe or Rachel dies in 2008, there will be no federal estate tax liability. There is an unlimited marital deduction for the surviving spouse. Only when both die will there be an estate tax liability over the $5.12 million exemption amount.
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