Answer:
21.25
Step-by-step explanation:
use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem
the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle
17^2+12.75^2=x^2
x^2=7225/16
now take the square root of both sides and you get -21.25 and 21.25
distance CAN NOT be negative so -21.25 isn't an option
Initial Deposit = $7000
It means P= $7000
rate of interest = 10%
So , r = 0.10
compounded quarterly , so n = 4
and we have to find the amount after 5 years , So t = 5
Now the formula we use here is
So amount after 5 years = $11470.315
Answer:
51m
Step-by-step explanation:
-Paul is 6ft, and has a 10ft shadow. The pole has a 85ft shadow:
-Using ratios:
Let h be the height of the flagpole:
Hence, the height of the pole is 51m
Answer:
P(X=3cars) = 0.052
P(X>3 cars) = 0.00638
Step-by-step explanation:
In total there are 7 cars per hour.
Using formulae for geometric Probability
P(X=3) = (7^3×e-7)/3! = 0.0521
P(X>3cars) = (7^2× e-7)/2! =
P(X>3) = 0.0128/2×1 =0.00638
