Answer:
<h2>B. 49,062.5 ft²</h2>
Step-by-step explanation:
The formula of an area of a circle:
r - radius
We have the diameter d = 250 ft. We know: d = 2r.
Therefore r = 250 : 2 = 125 ft.
Substitute:
Comment
You need to set up a direct proportion. You have to relate Keith and Jared's ages to the ratio you were given.
Givens
Keith is 24
Keith / Jared = 3/5
J = Jared
Solution
3/5 = 24 / J Cross multiply
3*J = 5 * 24 Combine factors on the right.
3J = 120 Divide by 3
J = 120 / 3
J = 40
Conclusion
Jared is 40 years old.
The answer is no solution.
First you simplify both sides of the equation... Then you subtract 6x from both sides. And lastly you subtract 6 from both sides. Leaving you with no solutions.
It's 80% of 117.5
Hope this helps :)
Answer:
EB=20, BC=8, AC=16
Step-by-step explanation:
The symbols indicate that:
AB=BC and AE=ED
EB and CD are parallels
AB=BC=8
AC= AB+BC
AC= 8+8
AC=16
To find EB we can use the Cosine Law
For the upper triangle x=∡EAB:
EB^2 = AB^2 + AE^2 -2*AB*AE*Cosx
AB*AE*Cosx= -(EB^2-AB^2 - AE^2)/2 (Part I)
For de big triangle:
DC^2= AC^2+AD^2 -2AC*AD*Cosx
Also:
AC=2*AB
AD=2*AE
DC^2= (2*AB)^2 + (2*AE)^2 -2(2*AB)(2*AE)*Cosx
DC^2= 4*AB^2 +4*AE^2- 8*AB*AE*Cosx
AB*AE*Cosx =-(DC^2-4*AB^2 -4*AE^2)/8 (Part II)
Part I= Part II
-(EB^2-AB^2 - AE^2)/2= -(DC^2-4*AB^2 -4*AE^2)/8
Extracting EB:
EB^2=DC^2/4
EB=DC/2
EB=40/2
EB=20
