In a race, Jason's position was -11 1/5 feet relative to the leader after 1 3/4 minutes. On average, how much did Jason's positi
2 answers:
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Answer:
Option D is correct.
Length of PQ is 36 unit.
Explanation:
If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.
Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.
Also it is given that Angle A is congruent to angle P and angle C is congruent to angle R.
To find the length of QR:
It is given that ΔABC and ΔPQR are Similar triangle
then, by the definition of similar triangle:
Substitute the value of AB, QR and BC to solve for PQ;
or
On simplify:
Therefore, the length of side PQ is 36 units.
Answer:
The approximate monthly rate of growth is 1.24%
Step-by-step explanation:
we have the future value formula
we have
----> annual interest rate
so
Find the approximate monthly rate of growth
Remember that
so
Divide the number of periods t by 12
Applying power rules property
Convert to percentage
therefore
The approximate monthly rate of growth is 1.24%