Answer:
19.4 feet
Step-by-step explanation:
Since the triangle has a right angle( as one of the angles in it is equal to 90°), we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Given that the measure of ∠G=90° and ∠E=40°
EF is the hypotenuse side
FG is the opposite side and
GE is the adjacent side. As such if EF = 75 feet
Cos 75 = GE/75
GE = 75 Cos 75°
= 19.41 feet
≈ 19.4 feet in the nearest tenth of a foot
Answer:
12
Step-by-step explanation:
Im going to divide this up to make it easier
first im going to do the triangle on top which we need the formula for that which would be
(4*2) / 2 which is( base * height )/2 then 4*2 = 8 /2 = 4
then ill deal with the rectangle just below that triangle
which is 3*2 which is 6
then last is triangle which is 2*2 which is 4 / 2 so 2
then add all together
4 + 6 + 2 = 12
It takes 2 hours to complete 10
Laps.
48/4 is 12 so it’s it 12 minutes a lap
12x10 is 120 which equals out to 2 hours
There are no 3s in 1/8... 1/8= 0.125
All the probabilities add up to 1, so the table does indeed describe a distribution.
The mean is given by

The standard deviation is given by

. You have

so the standard deviation is approximately

.