The equation which can be used to find the length of EF is option A which is EF=.
Given the length of base of right angled triangle is 12 and the hypotenuse be 24.
We are to find the length of EF and tell which equation can be used to find the length of EF.
We know that pythagoras theorem applies in a right angled triangle.
Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.
In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.
EF=
=--1
=
=
Hence the equation which can be used to find the length of Ef is option A which is EF=.
Question is incomplete as it should include the figure also.
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Width = w
Length = w + 1
Area = 30
w(w+1) = 30
w² + w = 30
w² + w - 30 = 0
w² + 6w - 5w - 30 = 0
w(w + 6) -5(w + 6) = 0
(w + 6)(w - 5) = 0
w = 5 or -6
Since the width cannot be negative, the width is 5 units.
Hence, the width is 5 units and the length is 6 units.
In 2017 the car would be worth $10,000 after deprecating by 15% annually
hope this helps
Answer:
x=13.5
Step-by-step explanation:
Using the formula:
Sin theta=opposite/hypotenuse
Where theta=57 degrees
opposite =10.8
hypotenuse =x
Sin57=10.8/x
Xsin57=10.8
x=10.8/sin57
x=10.8/0.8
x=13.5
Answer:
Step-by-step explanation:
Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t
where PV= Initial amount deposited
r= interest rate or discount rate
t = total duration of the investment
FV= 750
PV=500
r = 2.5% or 0.025 as a decimal
t = ?
Next, plug in the numbers into the formula;
750 = 500* (1+0.025)^t
divide both sides by 500;
750/500 = 1.025^t
Introduce <em>ln</em> on both sides
ln 1.5 = ln
ln 1.5 = t ln 1.025
0.4054651 = 0.0246926 t
Divide both sides by 0.0246926 to solve for t;
0.4054651/0.0246926 = t
t = 16.42
Therefore it will take 16.42 years