The value of AD in triangle ABC is approximately 9 cm.
BC = 6cm
Using trigonometric ratio for triangle CBD
sin 60° = opposite / hypotenuse
0.86602540378 = DC / 6
cross multiply
DC = 6 × 0.86602540378
DC = 5.19615242271
DC = 5.20 cm
Let's find side AD as follows:
tan 60° = AD / adjacent
AD = 5.20 × tan 60°
AD = 9.00666419936
AD ≈ 9 cm
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Answer:
AB = 12.5
Step-by-step explanation:
BX is an altitude and a median. That means that triangle ABC is isosceles.
AB = CB
<u>AB = 12.5</u>
The formula is
A=p (1+r/k)^kt
A future value?
P present value 10000
R interest rate 0.0625
K compounded monthly 12
T time 15 years
A=10,000×(1+0.0625÷12)^(12×15)
A=25,473.84
Answer:
40 persons
Step-by-step explanation:
Data provided :
The power put out by a single person = 100 W
Power required by an electric clothes dryer = 4.00 kW = 4000 W
Thus,
The number of persons required to produce 4000 W of power
= ( Power required ) / ( power produced per person )
or
= (4000 W) / (100 W/ person)
or
= 40 persons
Hence, the number of persons required is 40
Step-by-step explanation:
just add all the given angles and equate it with 540° and then find x
x/2 + x/2 + x - 25 + 100 + x - 15 = 540°
3x + 60 = 540°
3x = 540 - 60
x = 480/3
x = 160°
on checking, the given shape values of x-25 and x - 15 are both still obtuse angles thus the answer is correct.
