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:
The answer is D
Step-by-step explanation:
You use base times height
1/2bh
=1/2(2x+5)(4x)
Answer:
5% decrease
Step-by-step explanation:
Answer:
63/5 or 12 (3/5)
Step-by-step explanation:
It is 8 whole (1 ÷ 5) plus 4 whole (2 ÷ 5)
So,we can write it as 8 (1/5) + 4 (2/5)
Then we will take those mixed fractions to improper fractions by using the rule of multiplication.
8 will be multiplied by 5 and then the value will be added to 1. Same rule will be applied for the second fraction.
(41÷5) + (22÷5)
Now we will take L.C.M. (Least common multiple) for both denominators 5 and 5. The L.C.M of 5 and 5 = 5
(41 + 22)/5
= 63/5
It is the answer. Also we can make this improper fraction into mixed fraction by dividing the whole number by 5.
12 (3/5)
Well... looking at how to question is defining things.....i think this is a multiple choice question.....
Given:
"y" represents the population
"x" represents the number of years
duration = 2000 - 1990 = 10 years
population increase = 2700 - 1200 = 1500
Now,
<u></u><u>It says linear equation........</u><u>, So, we have to assume that every ten years the population increases by a fixed </u><u>amount that is 1500 people every 10 years.</u><u />
Now,
Every 10 years, the population increases by 1500
Every 1 year , the population increases by 1500 / 10
= 150
Now,
The equation in determining the population is:
y = 150x + 1200
<u />
