ANSWER
8π ft
EXPLANATION
The circumference of a circle is calculated using the formula C=πd.
Where d=8 is the diameter of the circle.
We substitute d=8 into the formula to obtain,
C=8π ft.
Because we are looking for the exact circumference, we leave the answer in terms of π.
Answer:
m=-7/2
Step-by-step explanation:
(5 • (m + 2) - m) - (2m + 3) = 0
2m + 7 = 0
3.1 Solve : 2m+7 = 0
Subtract 7 from both sides of the equation :
2m = -7
Divide both sides of the equation by 2:
m = -7/2 = -3.500
Answer:
623,000,000,000,000 > 8,912,000,000,000
Step-by-step explanation:
8.912·10^12
The exponent is 12, making it 10 to the power of 12. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 12 time(s):
8.912 -> 8,912,000,000,000
6.23·10^14
The exponent is 14, making it 10 to the power of 14. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 14 time(s):
6.23 -> 623,000,000,000,000
Answer:
1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle
Step-by-step explanation:
Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is
V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³
the mass in that volume would be m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)
The density of an alpha particle is ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be
ρ= m/V
since both should be equal ρ=ρa , then
ρa= m/V =N*L/V → N =ρa*V/L
replacing values
N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg = 1.544*10⁹ Linebackers
N=1.544*10⁹ Linebackers
9514 1404 393
Answer:
y = -x +5
Step-by-step explanation:
Solving the given equation for y, we have ...
y = x +4
The slope of this line is the coefficient of x: 1. The slope of the perpendicular line will be the opposite reciprocal of this: -1/1 = -1. The y-intercept of the perpendicular line can be found from ...
b = y -mx = 8 -(-1)(-3) = 5
The perpendicular line has equation ...
y = -x +5
