Answer:
Add a photo we dunno what youz talkin bou
Step-by-step explanation:
Answer:
156% interest annually so he payed 1/26 or 3.84615385%
Step-by-step explanation:
Answer:
<em>Longest line segment: 12.89 cm</em>
Step-by-step explanation:
<u>Right Rectangular Prism</u>
A right rectangular-based prism has a height measured from the center of the base up to the top of the prism. The longest line segment can be:
1. Any of the provided dimensions of the base or
2. A drawn line from the top ending in any of the corners of the base. It's the hypotenuse of a triangle whose legs are: the height of the prism and half the diagonal of the rectangle of the base.
The construction of the triangles can be seen in the figure attached. The line segment we are required to compute is the solid red line.
Let's first compute the diagonal of the rectangle of sides 12 cm and 11 cm.

Half of the diagonal is

Finally, we find the hypotenuse of the triangle formed by d/2, h, and the required distance, let's call it p

This length is greater than the 12 cm side of the rectangle, so it confirms our initial guess, the longest line segment is 12.89 cm long.
Note if the height would have been, for example, 5 cm, the longest line would have been 12 cm, and not the one found by the procedure
A. Divide both sides by 4
You want to get the value of x not 4x so in order to do that u can have divide both sides by 4 to get x alone on one side.
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