The answer is c. angles supplementary to the same angle or congruent angles are congruent.
Answer:
0.5x7
Step-by-step explanation:
Assuming that the original expression is
, according to PEMDAS multiplication takes priority over addition and subtraction,, and therefore, from the choices given, 0.5 * 7 must be performed first.
Answer:
2656.31 
Step-by-step explanation:
To calculate the surface area, we need to find the area of all the faces, and add them together.
The faces of the cylinder are: the rectangular base, the curved top, and the two semicircles on the side.
Rectangular base:
A = length x width
A = 29.3 x 16.2
A = 474.66
Two semicircles:
A =
x
(I'm using the formula for a circle, because the two semicircles are identical, so together they form a circle)
radius = 29.3/2 = 14.65
A =
x 
A = 674.256 (rounded to 3 decimal places)
Curved top:
The curved top, when flattened out, becomes a rectangle with a length of 16.2. The width is equal to half the circumference of the circle formed by the two semicircles.
To find the width, use the circumference (C) formula.
C =
x diameter
diameter = 29.3
C =
x 29.3
C = 93.049 (rounded to 3 DP)
Area (of curved top) = length x width
A = 16.2 x 93.049
A = 1507.394 (rounded to 3 DP)
Surface Area
SA = 474.66 + 674.256 + 1507.394
SA = 2656.31 
Answer:
k = 0.02278
Step-by-step explanation:
Given that:
The population P = 1674.7e^kt
where;
t represents the year,
if year 2000 represents t = 0
Then, the year 2007 represents = 7; &
year 2006 represents = 6
In 2006, population recorded in the city was about 1,920 thousand
Therefore;

Taking the logarithm of both sides, we get:

7.560080465= 7.423389324 + 6k
7.560080465 - 7.423389324 = 6k
0.136691141 = 6k
k = 0.136691141/6
k ≅ 0.02278
Just find 68% of 25.
0.68 * 25 = 17
So he completed 17 of his passes.