Answer:
y = 6
Step-by-step explanation:
This is a special right triangle with angle measures 90° 60° 30°
the side length that sees angle measure 30 is represented with x
the side length that sees angle measure 90 is represented with 2x
and the side length that sees angle measure 60 is represented with x√3
the side length that sees angle measure 90 is given as 4√3 which means 2x = 4√3 divide both sides by 2
x = 2√3 now to find y, we need to multiply this value by √3
2√3 × √3 = 2 × 3
Answer:22215
Step-by-step explanation: got it from delta math
The correct answer is B) y=80000(1.03)ˣ.
Population growth is represented using an exponential equation. These equations are of the form
y = a(1+r)ˣ, where y is the total population, a is the initial population, r is the growth rate, and x is the amount of time.
We first find the growth rate. This is the percent of change, which is found by
amount of change/original amount
The amount of change from 2010 to 2011 is 82400-80000=2400. 2400/80000 = 0.03, so r = 0.03.
The growth rate from 2011 to 2012 is (84872-82400)/82400 = 0.03. Checking the others, they are very close to this as well, so we will use this as r.
Our value of a in the equation is the initial population, 80000. This gives us:
y = 80000(1+0.03)ˣ = 80000(1.03)ˣ
Answer:
multiple of4is 36 and factor of 28 is 14
hope it helps you
Answer:
73.2 ft is the man from the base of the bridge tower.
Step-by-step explanation:
By using the trignometric property
As given
A bird on top of a 200 ft bridge tower sees a man standing on the lower part of the bridge (which is 50 ft above the ground).
The angle of depression from the bird is 26 ̊.
Base = Height of bridge tower - Height of man
AB = AC - DE
= 200 ft - 50 ft
= 150 ft
BE = Perpendicular
Putting all the values in the trignometric property
BE = 150 × 0.488
BE = 73.2 ft
Therefore 73.2 ft is the man from the base of the bridge tower.