Answer:
670.21ft^3
Step-by-step explanation:
Volume of a cylinder=pi*r^2*h
Radius=8/2=4
Height=12
Volume=603.19
Volume of a cone=pi*r^2*(h/3)
radius=8/2=4
Hight=16-12=4
Volume=67.02
603.19+67.02=670.21ft^3
Answer:
They are not co-linear.
Step-by-step explanation:
For three point's to be co linear the slopes of the lines connecting them should be same
Mathematically we can write for 
to be co-linear we should have
Applying the given values we obtain
As we can see the values are not equal thus the points are not co-linear.
The Carl save in finance charges (interest) if he pays off the credit card before the introductory APR expires is <span>$480.30
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
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
Step-by-step explanation:
"If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. If any two angles and the included side are the same in both triangles, then the triangles are congruent."
