Answer: The length of flagpole is 24 feet.
Step-by-step explanation:
Since we have given that
Length of shadow =40 feet
Angle of elevation to the sun =
In ΔABC,
We can apply "trigonometric rules ",
Hence, the length of flagpole is 24 feet.
common ratio = a4/a3 = a3/a2
8/a3 = a3/18
(a3)^2 = 8 * 18
(a3)^2 = 144
a3 = 12 or a3 = -12
common ratio = 8/12 or common ratio = 8/(-12)
common ratio = 2/3 or common ratio = -2/3
Answer: 12 or -12
Answer:
f^-1=(-1/4)x+1
Step-by-step explanation:
to solve for the inverse, you can just switch the x and the y:
y=-4x+4
switch:
x=-4y+4
subtract 4 from both sides:
x-4=-4y
divide by -4:
(-1/4)x-(-4/-4)=y
simplify:
(-1/4)x+1=y
To find the area of a rectangle, we multiply the Base by the Height. In this case the: Base = AB and Height = BC
So to get the area, we multiply AB by BC. (and we know that <em>BC = 5x+5/x+3</em> <em>and BC = [3x+9/2x-4)</em>
So we would do:
x
Note: When multiplying fractions together, we multiply the numerator by the numerator, and the denominator by the denominator.
For example x =
Answer: x =
= [<em>Note: </em><em>we are able to factorise some brackets to make the sum easier. For example we can factor out the 5 in (5x+5) to get: 5(x+1) ]</em>
Now lets simplify by multiplying the 5 and 3 together in the numerator:
=
If you notice, there is a (x+3) in numerator and the denominator. This means that we can cancel out the (x+3), to get the most simplified expression for the area:
=
Final Simplified Answer: which is the last option