Answer: w=5 , L= 2+2(5)=12
Step-by-step explanation:
L=2+2W
A= 60
LxW=60, now we will replace the L
(2+2W)(W)=60 we multiply
2w^2+2w=60
2w^2+2w-60=0 we divide by 2 the equation so we can work easier
w^2+w-30=0
find out w using the quadratic equation
we will get 2 solution,
w=5 and another solution is -6, which is not valid, as the side can not be negative
Answer:
X = 20
Step-by-step explanation:
when you have an angle that looks like an X shape the angles opposite each other are always equal. knowing this we now know that angle 5x must equal 100
so just make X the subject of the formula and solve, like shown bellow



Answer:
The probability of the frog landing on a complement of yellow lily is 0.57
Step-by-step explanation:
PLANTS Of the water lilies in the pond, 43% are yellow. The others are white.
It is given that 43% of plants are lilies it means the probability of a frog randomly jumping onto a lily is:
the probability of the frog landing on a complement of yellow lily is 0.57
To find an inverse function first replace f(x) with y
f(x) = 8*sqrt(x)
y = 8*sqrt(x)
Then, simply switch the places of the x and y.
x = 8sqrt(y)
Now solve for the new y by squaring both sides (to get rid of the root)
x^2 = 64y
divide to get
y = x^2/64. This is the inverse function or option C.
Answer:
Apparent power is 1.413Volt-Amps.
Step-by-step explanation:
We are given that in a parallel circuit,
,R=33kΩ and
=82kΩ.
And we are asked to find apparent power.
Apparent power is the combination of true power and reactive power.
In other words, we can say that in a power triangle apparent power is the hypotenuse where as true power and reactive powers are sides.
Let us find true power , reactive power first and the using Pythagorean theorem we can find apparent power.
True power=
Reactive power=
Hence apparent power=