Answer:
12.37 square inches
Step-by-step explanation:
The area of the dartboard can be figured from the diameter as ...
A = (π/4)d² = (π/4)(17.75 in)² ≈ 247.4495 in²
There are 20 sectors, all the same size, so the area of one of them is ...
sector area = (1/2)(247.4495 in²) ≈ 12.37 in²
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Y=2/3x-1 is the equation:)
Ok so pete lays 10 more than jim per hour
pete and jim laid same amount of tiles
j=jim's rate
p=pete's rate
6j=5p
but pete lays 10 tile per hour faster so
p=10+j
sub
6j=5(10+j)
6j=50+5j
minus 5j both sides
j=50
jim can lay at 50 tiles per hour
