Answer: option D
Step-by-step explanation:
Remember the cosine identity:
Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:
Now you can substitute values into and then reduce the fraction.
THerefore you get:
Answer:
C = D all real Numbers ; R y>= -2
Step-by-step explanation:
for discover the domain we have to look the x axis and check for what x the graph exist. If we look this graph we can see that there are two solid lines.
the two arrows indicate that the graph continues both to left and to the right
so the domain is all real numbers
for the range we have to check the y axis. If we look at the graph we can see that under -2 there is nothing, while up -2 the graph continues to raise,
so the range is y>= -2
so the final answer is C
The number of feet in the length of the handrail is 17.3 ft.
The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle
The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft turned through 270°= (3/4) of a whole revolution
(3/4) (2pi) (3) = (9/2)pi ft = 4.5 pi ft
The side of the rectangle will be the rise of the staircase = 10ft
And the diagonal of the rectangle will be the length of the handrail
We can use the Pythagorean Theorem to solve this
Handrail length = √ [ (4.5 pi)^2 + 10^2 ] ≈ 17.3 ft
Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Learn more about the Pythagorean theorem here: brainly.com/question/343682
#SPJ4
Answer:
y -15 = -3(x +2)
Step-by-step explanation:
The slope will be ...
m = (y2 -y1)/(x2 -x1)
m = (-18 -15)/(9 -(-2)) = -33/11 = -3
Point-slope form is ...
y -y1 = m(x -x1) . . . . . line with slope m through point (x1, y1)
Using the first point, the equation is ...
y -15 = -3(x +2)
8y^8. Square root of 64 is 8 and for exponents you divide by 2 to find its square root
