Answer:
x= 60.1 degrees
Step-by-step explanation:
The triangle forms a right angle triangle
Opposite side of angle x = 13 ft
Hypotenuse of the triangle = 15
We know the opposite side and the hypotenuse
So we use trigonometric formula sin(x)
When we move 'sin' to the other side it becomes 'sin^-1'
x = 60.073565
Answer:
say no more , link it down below
The Reuleaux triangle is shown in the attached figure
we know that
the area of a Reuleaux triangle is equal to
where
r=18.6/2--------> r=9.3 m
so
therefore
the answer is
61 m²
Answer:
Step-by-step explanation:
speed = s = 3.5 miles / hour
d = 6 miles
t = ?
============
t = d / s
t = 6 / 3.5
t = 1.714 hours
t = 1 5/7 hours
You could figure this out in minutes for 5/7 but it will not make the time any clearer. You will still wind up with a fraction.
Answer:
72.578 to the nearest thousandth.
Step-by-step explanation:
g(x)=3x^3 + 3x^2 - 30x + 24
Find the derivative:
g'(x) = 9x^2 + 6x - 30.
This equals zero for values of turning points:
9x^2 + 6x -30 = 0
3(3x^2 + 2x - 10) = 0
x = [-(2) +/- √(2^2 - 4*3*-10)] / 2*3
x = (-2 +/- √124) / 6
x = (-2 + 11.136)/6, (-2 - 11.136)/6
x = 1.523, -2.189.
To check which value of x gives a maximum value for f(x) use the second derivative test:
g"(x) = 18x + 6
when x = -2.189 g"(x) = 18(-2.189) + 2 which is negative so this value gives a local maximum.
Local maximum value for f(x)
= 3(-2.189)^3 + 3(-2.189)^2 - 30(-2.189) + 24
= 72.578 answer.
