Let's say the original radius was "r", so the circumference is 2πr and the area is πr².
Now when you double the radius, the you get a new circle with radius 2r, circumference 2π(2r) = 4πr, and area π(2r)² = 4πr².
Hello,
We are going to used the theorem of Thalès.
||v||=√(3²+(-2)²)=√13
k*√13=10==>k=10/√13
w=k.v=10/√13<3,-2>
Answer:
The volume of a right circular cone is .
Step-by-step explanation:
We have,
Diameter of a cone is 11.5 inches
Height of a cone is 15.2 inches
It is required to find the volume of a cone. The volume of a cone is given in terms of radius r and height h as :
d = 11.5 inches
Radius, r = 5.75 inches
,
So, the volume of a right circular cone is .
Answer:
The correct answer is C. The meal costed $1.30.
Step-by-step explanation:
Since the student bought his sandwich for 80 cents, his milk for 20 cents and his cake for 30 cents, to determine the total amount to pay we must add these values. Thus 80 + 20 + 30 gives a total of 130 cents. In this regard, the American monetary system establishes that 100 cents are equal to one dollar, with which the 130 cents would become 1 dollar with 30 cents, that is, $ 1.30.
Answer:
x ≈ 41.4°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Pre-Calculus</u>
- Law of Cosines: c² = a² + b² - 2(a)(b)cosC°
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
C° = x°
c = 12
a = 15
b = 18
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [LC]: 12² = 15² + 18² - 2(15)(18)cosx°
- Exponents: 144 = 225 + 324 - 2(15)(18)cosx°
- Add: 144 = 549 - 2(15)(18)cosx°
- Multiply: 144 = 549 - 540cosx°
- Isolate <em>x</em> term: -405 = -540cosx°
- Isolate <em>x</em> term: 3/4 = cosx°
- Isolate <em>x</em>: cos⁻¹(3/4) = x°
- Evaluate: x = 41.4096°
- Round: x ≈ 41.4°