Answer: the exact perimeter of the figure is 53.68 cm
Step-by-step explanation:
The angle formed by the shaded sector is
360 - 90 = 270 degrees
We would determine the length of the arc formed by the shaded portion by applying the formula for length of arc which is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 8 cm
θ = 270 degrees
Length of arc = 270/360 × 2 × 3.14 × 8
= 37.68 cm
Perimeter of the figure is
Length of arc + radius + radius
It becomes
37.68 + 8 + 8 = 53.68 cm
Answer:
a1 = -4
an = an-1 * 6
Step-by-step explanation:
-4, -24, -144, -864, ...
First find the common ratio
Take the second term and divide by the first term
-24/-4 = 6
The common ratio is 6
The recursive formula is
a1 = -4
an = an-1 * 6
Answer:
Step-by-step explanation:
Dice, cards, spinners and the like are interactive and engaging math aids to get children involved in learning about probability, chance, number patterns and statistics.
Answer:
Choice A. P = I² · R where
- P is the power in the DC circuit,
- I is the current through the circuit, and
- R is the total resistance of the circuit.
Step-by-step explanation:
Electrical power is the rate at which the electrical force does work. So what is electrical work? That's the work
that the electrical force do when it moves charges
across a potential difference
:
W =
.
The power is the rate at which the electrical force do the work:
.
On the other hand, current
is the charge through a cross-section of the circuit in unit time. By the definition of current:
.
.
Consider Ohm's Law:
.
Therefore
.
We know that Zoey can tile 1.25 square yards in 20 minutes (which is 1/3 of an hour) so we wanna see how much she can tile in an hour. Multiply 1.25 by 3.
1.25•3= 3.75 or 3 3/4