Answer:
=13.73 ft²
Step-by-step explanation:
The diameter of the largest possible circle that can be cut out of a square is equal to the length of the side of the square.
Therefore the diameter of the circle cut from a square of side 8ft =8ft
r=4ft
Area of the remaining board= Area of square- area of circle
=side²-πr²
=8²-π×4²
=64-16π
=13.73 ft²
Answer:
16.07 milligrams
Step-by-step explanation:
From the question,
Using the formula of radioactive decay,
R/R' = 2ᵃ/ᵇ..................... Equation 1
Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.
Make R' the subject of the equation
R' = R/(2ᵃ/ᵇ)................ Equation 2
Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days
Substitute these values into equation 2
R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)
R' = 100/(6.222)
R' = 16.07 milligrams of plonium-210
There’s 3 7’s in 21 2 times 3 is 6 so the answer is 6.
Answer:
You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.
Step-by-step explanation:
Let Number of videos to be rented be x;
Given:
For non members;
Cost of renting 1 video = $4
Cost for renting x videos = 
For Members;
Membership cost = $21
Cost of renting 1 video = $2.50
Cost of renting x video = 
We can create an equation. Say the number of videos you rent is given by x
. We can write that, if we rent x videos without membership, we'll have to pay
. If we rent the same amount of videos with membership, we'll have to pay
.
Hence the equation can written as

Hence You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.
Answer:
NO = 8.48 units, MO = 11.59 Units
Step-by-step explanation:
∠M = 45°
∠O = 30°
∠N = 180-(45+30)
∠N = 105°
MN=6 = o
NO = m
MO = n
From sine rule



∴ NO = 8.48 units, MO = 11.59 Units