Answer:
x=2,BA=DA which is7
Step-by-step explanation:
5x-3=3x+1
both sides share an angle and B=D right angles
5x-3x=1+3
2x=4
x=4÷2
x=2
BA=5x-3
BA=5(2)-3
BA=10-3
BA=7
DA=3x+1
DA=3(2)+1
DA=6+1
DA=7
Answer:
Step-by-step explanation:
Second option correct
Answer:
8 times larger
Step-by-step explanation:
The radius of the large sphere is double the radius of the small sphere.
We have been given that Anil borrows $80 000 to buy a business. The bank gives him a loan, with an interest rate of 2% each year. We are asked to find the total amount paid back by Anil to bank after 10 years.
We will use simple interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 2% into decimal.
We have 
and 
, so we will get:
Therefore, Anil will pay 
to the bank after 10 years.
Answer:
17.9 m/s
Step-by-step explanation:
Volume of the slick = 0.5 x π r² h--------------------------------- (1)
Where r = radius of slick
h = thickness of slick, 10⁻⁶m
If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)
V = 0.5 x π r² h
0.5= 0.5 x π x r² x 10⁻⁶
r² = 10⁶/ π
r = 10³/√π
dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)
Asumming the film thickness is constant , equation (2) becomes
dV/dt = πrh dr/dt-------------------------------- (3)
dV/dt = 0.1m³/day
r= 10³/√π
dr/dt= rate of expansion of the slick
Substituting into (3);
0.1 = π x 10³/√π x 10⁻⁶ x dr/dt
dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)
= 17.9479 m/s
≅ 17.9 m/s
