9514 1404 393
Answer:
>180° (more than 180°)
Step-by-step explanation:
Angles are classified as ...
- acute: < 90°
- right: = 90°
- obtuse: > 90°
- straight/linear: = 180°
- reflex: > 180°
It seems that we're looking at definitions:
obtuse : >90° :: reflex : >180°
Step-by-step explanation:
I don't know what your teacher wants to hear here.
can you use and construct certain angles (particularly 90 degrees), can you use compasses ?
for me the best way would be to draw one side as given. then use compasses and draw a half-circle from each end point of the line above the line. both circles have the radius = the given diameter.
then draw the next 2 sides of the square up from the end points of the first line towards the half-circle that was drawn from the other point, so that the end point is exactly on the circle bow. and then connect the engaging endpoints of these 2 sides.
similar for the rectangle.
the only difference is that now for the two sides (which we don't know the length) we need to go up exactly 90 degrees until the lines hit the half-circles.
Answer:
769 cubic ft
Step-by-step explanation:
Its volume:
Find the volume of a cylinder of radius 7 ft and length 5 ft:
The basic formula for his volume is V = πr²h. In this case, the volume is:
V = 3.14(7 ft)²(5 ft) = 769 cubic feet of water.
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].