Answer:
AA similarity theorem
Step-by-step explanation:
we know that
<u>AA (Angle-Angle) Similarity</u> states that In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar
In this problem we have that
∠BCA=∠ECD ----> by vertical angles
∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)
therefore
Triangles ABC and EDC are similar by AA similarity theorem
Answer:
t=16.2 years
Step-by-step explanation:
A=p(1+r/n)^nt
A=$20100
P=$6500
r=7%=0.07
n=4
t=?
t=ln(A/P)/n {ln(1+r/n)}
=ln(20100/6500) / 4{ln(1+0.07/4)}
=ln(3.0923)/4{ln(1+0.0175)}
=ln(3.0923)/4{ln(1.0175)}
=1.1289/4(0.0174)
=1.1289/0.0696
=16.23
To the nearest tenth
t=16.2 years
Answer:
Therefore,
The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.
Step-by-step explanation:
Given:
The length of the minute hand of a clock is,
Which is as Radius,
Therefore,
Radius = r = length of the minute hand = 14\ inches
pi = 22/7
To Find:
The length of the path traced by the outer tip of the minute hand in one hour, will be One full rotation, that is
Circumference, C = ?
Solution:
Circumference, is given by,


Therefore,
The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.
1. 28.57
2. 16
Hope this is right.