Answer:
(a) The measure of the supplement of a 82° angle is:
180° - 82° = 98°
(b) The measure of the complement of a 32° angle is:
90° - 32° = 58°
Answer:
x=25
z=45
y=45
Step-by-step explanation:
hope this helps
Answer:
B
Step-by-step explanation:
7x + 1 isn't equal to 8x
For example:
Addition. In this equation, you can add all of the coefficients (2, 5, and 4) because the variables are the same (a).
2a + 5a + 4a = 11a
Subtraction. In this equation, you can subtract all of the coefficients (11, 5, and 4) because the variables are the same (a).
11a – 5a – 4a = 2a
Answer:
slope <em>m </em>= 1 y-intercept <em>b</em> = 3
Step-by-step explanation:
to double check you can do use the formula y=mx+b
-3*1= -3 +3= 0
so the coordinates would be (-3,0)
It is given that the diameter of the sphere increases <span>at the rate of 3 inches more than the time, t.
This means that:
at a certain time = t seconds
the diameter of the sphere will be equal to t + 3
Based on this:
at t = 3 seconds
diameter of the sphere = t + 3 = 3 + 3 = 6 inches = </span><span>0.1524 meters
and radius of sphere = 0.5 x </span><span>0.1524 = 0.0762 meters
Volume of the sphere can be calculated using the following rule:
volume of sphere = (4/3) x pi x (radius)^3
Substituting in this equation, we can get the volume of the sphere at t = 3 seconds as follows:
volume at t=3 seconds = (4/3) x 3.14 x (</span>0.0762)^3 = 1.8533 x 10^-3 m^3