Determine the angles A and B given the following information:
a=15
b=22

B ≈ 55. 71°

A = 34.29°

Step-by-step explanation:

The picture demonstrate on how you could solve the angles of A and B in a triangle with a given sides a and b. Angle C is a 90° .That makes the triangle a right angle triangle.

Let us find angle B

using SOHCAHTOA principle

tan B = opposite.adjacent

tan B = b/a

tan B = 22/15

tan B = 1.46666666667

B = tan⁻¹ 1.46666666667

B = 55.7131230228  °

B ≈ 55. 71°

Let us find angle A

The sum of angle in a triangle = 180° Therefore, the angle A can be solved when you subtract angle C and B from 180°.

angle A = 180° - 90° - 55.71°

angle A = 34.29°

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week