PA is a tangent, PBC is a secant, AOC is a diameter, AD and DC are chords
Angle APC = 57, Angle DC = 34
<em>[measurements are in degrees]</em>
(A) Arc BA = 66
Since AOC is a diameter, Arc AC is 180. Angle APC is equal to half the difference between BA and AC.
APC = 1/2 (AC - BA)
57 = 1/2 (180 - BA)
114 = 180 - BA
BA = 66
(B) Arc BD = 80
BD is 360 minus BA, AC, and DC.
BD = 360 - BA - AC - DC
BD = 360 - 180 - 66 - 34
BD = 80
(C) Angle ACD = 73
ACD is half of ABD, which is BA plus BD.
ACD = 1/2 (BA + BD)
ACD = 1/2 (66 + 80)
ACD = 1/2 * 146
ACD = 73
(D) Angle BED = 130
BED is the same as AEC, which is 180 minus ECA and EAC.
ECA is half BA, and EAC is half DC.
BED = 180 - 1/2 BA - 1/2 DC
BED = 180 - 1/2 * 66 - 1/2 * 34
BED = 180 - 33 - 17
BED = 130
(E) Angle PCA = 33
PCA is half BA
PCA = 1/2 BA
PCA = 1/2 * 66
PCA = 33
(F) Angle PAD = 73
PAD is half ABD, which is BA plus BD.
PAD = 1/2 (BA + BD)
PAD = 1/2 (66 + 80)
PAD = 1/2 * 146
PAD = 73
The number of persons added to the population rises annually if the population's growth rate, r, is positive and stable.
Given statement,
If the growth rate r of a population is positive and remains constant, the number of people added to the population,
In the given case the solution will be the number of people added to the population " increases each year ".
To learn more about growth rate click here:
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1.5 x 3 = 4.5
1.5 + 3 = 4.5
so the answer is 1.5
Answer:
96 square tiles are needed
Step-by-step explanation:
To calculate this, the first thing we need to do is calculate the total area covered by the rectangular wall.
Mathematically, the area of the rectangle = 16 * 24 = 384 ft^2
The next thing we need to do is calculate the area of the square tiles = L^2 = 2^2 = 4 ft^2
the number of square tiles needed = Area of rectangular wall/Area of square tiles = 384/4 = 96
Reduced by 55%
100=original
100-55=45
45% of oiriginal=29.99
percent means parts out of 100
45%=0.45
0.45 of original=29.99
divide both sides by 0.45
original=66.644444444444444444444444444444
round
$66.64 is original price
