For the first one. An equilateral triangle is one with three equal sides. An isosceles triangle is one with two equal sides. Therefore, every equilateral triangle is isosceles, but not every isosceles triangle is equilateral. So far, so book.
For the second one. Right triangles are defined as triangles that contain a right angle, where a right angle is an angle with a measure of 90°. Isosceles triangles are defined as triangles that have two sides of equal length.
Answer: $700
explanation: they lost 175 EACH DAY
so 175 x 3 = 525
add another 175 for the fourth day
525 +175 = 700
They lost a total of $700 on the fourth day.
Answer: 57% for the first and 41% for the second
Step-by-step explanation:
Treatment 1 consists of 40 people and 23 had improved health take 23 and divide it by 40 and you get 0.575 multiply that by 100 and you get 57% do the same for the second question and you get 0.416 multiply by 100 and you get 41%
Answer:
f(3) = -17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -5x - 2
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(3) = -5(3) - 2
- Multiply: f(3) = -15 - 2
- Subtract: f(3) = -17
cos(2<em>θ</em>) + sin²(<em>θ</em>) = 0
Half-angle identity:
cos(2<em>θ</em>) + (1 - cos(2<em>θ</em>))/2 = 0
Simplify:
2 cos(2<em>θ</em>) + 1 - cos(2<em>θ</em>) = 0
cos(2<em>θ</em>) = -1
Solve for <em>θ</em> :
2<em>θ</em> = arccos(-1) + 2<em>nπ</em>
2<em>θ</em> = <em>π</em> + 2<em>nπ</em>
<em>θ</em> = <em>π</em>/2 + <em>nπ</em>
where <em>n</em> is any integer.