Answer:
Step-by-step explanation:
∠1 = 180° - 88° = 92°
∠5 = 81° (alternate interior angles)
∠4 = 180° - ( 81° + 64° ) = 35°
∠3 = 180° - ( 81° + 35° ) = 64°
∠2 = 88° - 64° = 24°
His total sales were "x"
now, we know that 3.5% of "x" plus 5% of "x", will add up to his total commission, including sales of 6500 or less or more
so the commission for 6500 or less, is 3.5% of "x" or (3.5/100)*x -> 0.035x
the commission for above 6500 is 5% or (5/100) * x --> 0.05x
we know, that both commissions added together, are $415
thus
0.035x + 0.05x = 415 <----- solve for "x"
The space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.
<h3>What is a cone?</h3>
It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
We know the volume of the cylinder is given:

r = 10/2 = 5 FT
h = 12 FT

V = 300π cubic FT
Volume of the cone:


v = 100π cubic FT
Space is inside the cylinder but outside the cone = 300π - 100π
= 200π cubic FT
= 628.32 cubic FT
Thus, the space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.
Learn more about the cone here:
brainly.com/question/16394302
#SPJ1
Answer:
A.
Step-by-step explanation:
you have to find the discriminant
b²-4ac for each equation
if discriminant < 0 no real solutions because will be negative under the squareroot whhan you try to find the roots
if discriminant = 0 there is only one solution
if discriminant > 0 two real solutions
for your given problems
A. discriminant =(-2)²-4*2*15 will be negative
Answer:
When the two values are different
Step-by-step explanation:
Like in an inequality equation.
For example:

The answer would be anything greate than or equal to 30, but you would need to find x. The number line would be very useful
Hope this helps