Answer:
15
Step-by-step explanation:
Scale Factor = 3
Using Formula:
Scale Factor = LengthOfDilatedTraingle/LengthOfActualTriangle
Scale Factor = B'C'/B'C'
B'C' = 3 * 5
B'C' = 15
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
24−4x=2x
24+−4x=2x
−4x+24=2x
Step 2: Subtract 2x from both sides.
−4x+24−2x=2x−2x
−6x+24=0
Step 3: Subtract 24 from both sides.
−6x+24−24=0−24
−6x=−24
Step 4: Divide both sides by -6.
−6x
/−6 =
−24
/−6
x=4
Answer:
The answer is C the 2 rectangles
Answer:
3 cylinder will fill 9 cones with water
Step-by-step explanation:
This problem bothers on mensuration of slides, cone and cylinder
We know that the
Volume of a cylinder = πr²h
Volume of a cone = 1/3(πr²h)
Given that both cylinder and cone has same height and radius
From the given expression we can deduce that the cone is 3 times smaller than the cylinder in volume
So if 1 cylinder will fill 3 cones
Then 3 cylinders will fill x cones
By cross multiplication we have
x= 3*3cones
x= 9 cones
Hence 3 cylinder will fill 9 cones with water
Answer:
Time(t) = 11.61 hours (Rounded to two decimal place)
Step-by-step explanation:
Given: The antibiotic clarithromycin is eliminated from the body according to the formula:
......[1]
where;
A - Amount remaining in the body(in milligram)
t - time in hours after the drug reaches peak concentration.
Given: Amount of drug in the body is reduced to 100 milligrams.
then,
Substitute the value of A = 100 milligrams in [1] we get;
Divide both sides by 500 we get;
Simplify:
Taking logarithm both sides with base e, then we have;
[ Using 
]
or
[using value of 
]
then;
Simplify:
t ≈11.61 hours.
Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams
