Answer:
6pi
Step-by-step explanation:
hop it helps
Answer:
18.8496 units (rounded o1ff to four decimal places)
Step-by-step explanation:
Arc length = 2 × π × r ×
r (radius) = 12 units ÷ 2 = 6 units
Central angle = 180°
For our semicircle, the arc length = 2 × π × 6 × = 18.8495559215 units
Or 18.8496 units (rounded o1ff to four decimal places)
Answer:
The equation is x = 4y + 13
Step-by-step explanation:
* Lets talk about the parametric equations
- Parametric equations are a set of equations that express a set
of quantities as explicit functions of a number of independent
variables
- Ex: x = at + b and y = ct + d are parametric equations
- We use them to find relation between the variables x and y
* Lets solve the problem
∵ x = 4t + 1 ⇒ (1)
∵ y = t - 3 ⇒ (2)
- The parameter is t to eliminate it find t in terms of x or y
- We will use equation (2) to find t in terms of y
∵ y = t - 3 ⇒ add 3 to both sides
∴ t = y + 3 ⇒ (3)
- Substitute the value of t in equation (3) in equation (1)
∵ x = 4t + 1
∵ t = y + 3
∴ x = 4(y + 3) + 1 ⇒ open the bracket
∴ x = 4y + 12 + 1 ⇒ add like term
∴ x = 4y + 13
* The equation is x = 4y + 13
Answer:
The number is 48
Step-by-step explanation:
The number be x
Quotient of the number and 3 : x/3
Ten less the quotient of the number and x : x/3 -10
Answer:
Quotient of a number and 3 = x/3
Ten less the quotient of a number and 3 will equal 6
So...
10 - x/3 = 6
+ x/3 +x/3
10 = x/3 +6
-6 - 6
3 × 4=(x/3) × 3
12 = x