Answer:
429.42 cm
Step-by-step explanation:
<u>Volume of a rectangle prism:</u>
V = whl
V = (5)(12)(7)
V = 420
<u>Volume of a cylinder:</u>
V = πr²h
V = (3.14)(1²)(3)
V = (3.14)(1)(3)
V = 9.42
<u>Combined:</u>
420 + 9.42
429.42
The lines would go up and over at the same rate. They would have the same slope, like parallel lines.
Hope this helps!! :)
The first four equations are correct. The remaining 4 equations are incorrect. See the attached screenshot for a detailed breakdown of why the last four equations are incorrect.
Answer:
A. Adding the values of the intercepted arcs and that is equal to twice the angle measure
Step-by-step explanation:
The intersecting chords theorem states that when four line segments are formed by two chords intersecting in a circle, the product of the two line segments on one chord is equal to the product of the two line segments on the other chord
The angles of intersecting chords theorem states that the angles formed by the intersecting chords one half the sum of the arcs intercepted by the chords
In the diagram attached, we have;
∠x = ∠y + ∠z
m
= 2·∠z, m
= 2·∠y
∴ ∠x = (1/2) × m
+ m
m
+ m
= 2 × ∠x
The correct option is therefore adding the values of the intercepted arcs and that is equal to twice the angle measure.
Answer:
a) The very first one where the line starts to the left
b) m=125.82
c) 320.81 thousand dollars
Step-by-step explanation:
a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left
b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.
c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get
y=125.82 (4)-182.47 =320.81 thousand dollars