Someone please explain how to do this question

1. 37.0 in²

2. 55 m²

Step-by-step explanation:

1) all angles in an equilateral triangle are 60°

The dotted line is an angle bisector which also divides the triangle into two congruent right angle triangles

Find the base using trig ratio

cos(30) = 8/base

base = 16sqrt(3)/3

Area = ½ × 16sqrt(3)/3 × 8

= 36.95041723 in²

2. d1: 5 + 5 = 10

d2: 3 + 8 = 11

Area = ½ × 10 × 11

= 55 m²

salary

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for