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
Answer:
-3/2
Step-by-step explanation:
Using the slope formula, we can find the slope of the line shown
m = ( y2-y1)/(x2-x1)
= ( -1-3)/(-3-3)
= -4/-6
= 2/3
A line that is perpendicular is the negative reciprocal
-1/ (2/3) = -3/2
The value of 6 in the tenths place is 10 times the value of 6 in the hundredths place.
0.06 x 10 = 0.6
Answer:
$515.21
Step-by-step explanation:
Because you're compounding monthly, use the formula:
where A(t) is the amount after the compounding,
P = $500
r = .03 (always in decimal form!)
n = 12 (monthly is every month, and there are 12 months in a year) and
t = time in years
Filling in our given info:
which simplifies to
A(t) = 500(1 + .0025)¹² which simplifies to
A(t) = 500(1.0025)¹² which simplifies to
A(t) = 500(1.030415957) so
A(t) = $515.21
Answer:<em> 11 is a prime number, but 10 is not</em>
Step-by-step explanation:
