Answer:
The Pythagorean identity states that
Using that we can rewrite the left denominator as:
Which can be factored as
The numerator we can expand as:
On the right hand side, let's multply numerator and denominator with (1 - sin t):
The total formula then becomes:
There you go... left and right are equal.
Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.
<u>Step-by-step explanation:</u>
Step 1:
Given details are Total Income = $23,400
Step 2:
Amount spent for food, F= 1/4th of 23,400 =
= $5850
Step 3:
Amount spent for housing, H = 1/5th of 23,400 =
= $4680
Step 4:
Amount spent for clothing, C = 1/10th of 23,400 = = $2340
Step 5:
Amount spent for savings, S = 1/9th of 13,400 = = $2600
Step 6:
Amount spent for taxes, T = 1/4th of 23,400 = =$5850
Step 7:
Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.
Annual Income = F + H + C + S + T + E
Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)
E = 23400 - 21320
E = $2080
Answer:
A = 450 cm²
Step-by-step explanation:
Since the right triangle is isosceles then the 2 logs are congruent , both 30 cm and at right angles to each other.
The area (A ) of the triangle is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = h = 30 , then
A = × 30 × 30 =
× 900 = 450 cm²
