Answer:
∠C (Interior) =78°
∠B (Interior) = 62°
Step-by-step explanation:
Given:
∠A (Interior) = 40°
∠C (exterior) = 102°
Computation:
∠C (Interior) = 180° - 102°
∠C (Interior) =78°
∠B (Interior) = 180° - ∠A (Interior) - ∠C (Interior)
∠B (Interior) = 180° - 78° - 40°
∠B (Interior) = 180° - 118°
∠B (Interior) = 62°
Answer:
C = 87.92 mm
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Circumference Formula: C = πd
- <em>C</em> is circumference
- <em>d</em> is diameter
Step-by-step explanation:
<u>Step 1: Define</u>
Diameter <em>d</em> = 28 mm
<u>Step 2: Solve</u>
- Substitute in variables [Circumference Formula]: C = 3.14(28 mm)
- [Circumference] Multiply: C = 87.92 mm
Answer:
<h2>
204π units²</h2>
Step-by-step explanation:
The lateral area of the cylinder includes both the side and the ends.
The area of the side can be found by calculating the circumference of the cylinder and multiplying that by the height: A = 2π(6 units )(11 units) = 132π units².
The area of one end of this cylinder can be found by applying the "area of a circle" formula: A = πr². Here, with r = 6 units, A = π(6 units)² = 36π units². Since the cylinder has two ends, the total area of the ends is thus 2(36π units) = 72π units.
The total lateral area of the cylinder is thus 72π units² + 132π units², or 204π units²
Answer:
Step-by-step explanation:
Let x represent the number of vehicles that the sales person sold in a month.
The sales person at the car dealership earns a monthly salary of $2400 and $250 for each vehicle sold. Let y represent the total amount he earns for selling x vehicles in a month. Therefore,
y = 250x + 2400
To determine the number of vehicles that the sales person needs to sell in a month to earn exactly $4000, we would substitute
4000 for y. It becomes
4000 = 250x + 2400
250x = 4000 - 2400 = 1600
x = 1600/250
x = 6.4
He would have to sell 7 vehicles because he cannot sell 6.4 vehicles and if he sells 6 vehicles, it would be lesser than $4000
Answer:
i cant see the first few
Step-by-step explanation: