<span>Replace tan θ with sin θ/cos θ
= sin²θ/cos θ + cos θ
Now multiply the right-hand side by cos θ/cos θ to get the same denominator:
= sin²θ/cos θ + cos²θ/cos θ
= (sin²θ + cos²θ)/cos θ
The numerator is equivalent to 1:
= 1 / cos θ
= sec θ</span>
Answer:
Alix does. See below.
Step-by-step explanation:
Givens
<em><u>Jenny</u></em>
- b1 = 90 cm
- b2 = 80 cm
- height = 23 cm
<em><u>Alex</u></em>
- b1 = 90 cm
- b2 = 70 cm
- height = 27 cm
Formula
For both territories the answer is based on the formula
Solution
<em><u>Jenny</u></em>
- Area = (90 + 80)23/2
- Area = 170 * 23 / 2
- Area = 85 * 23
- Area = 1955 units.
<em><u>Alex</u></em>
- Area = (70 + 90)*27/2
- Area = 160*27 / 2
- Area = 80* 27
- Area = 2160
Alix does by 205 cm
Let the original price of headphone = x
there is 40% discount which is 0.40x
so the payment price will be x-0.40x = 0.60x
Given that paid amount is $36
so both will be equal
0.60x = 36
x=36/0.60
x=60
Hence final answer is $60.
Answer:
incenter
Step-by-step explanation:
The point of intersection of the three angle bisectors of a triangle is the incenter.
Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Combining Like Terms
- Expand by FOIL (First Outside Inside Last)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
<u>Step 2: Find (f · g)(x)</u>
- Substitute: (f · g)(x) = (4x + 1)(x² - 5)
- Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5
- Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5
