Which is the table that shows the multiplication of x2 - 4x + 4 and 6x + 3?
1 answer:
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Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:
Answer:
B. 28 minutes
Step-by-step explanation:
According to the given statement,
William weeds the whole garden in 45 minutes, then in one minute he will weed 1/45 of the garden
and
similarly, 1/75 of the garden in one minute.
When they both will work together, they will weed (1/45+1/75) of the garden in one minute
Solving the equation:
=
Garden weeded in one minute by both = 0.036
So, number of minutes to weed whole garden = 1/0.036
= 27.77 minutes
Rounding off will give us: 28 minutes
So,
Option B is the correct answer ..