Answer:
50 = 1 x 50, 2 x 25, or 5 x 10. Factors of 50: 1, 2, 5, 10, 25, 50. Prime factorization: 50 = 2 x 5 x 5, which can also be written 2 x 5².
Step-by-step explanation:
Answer:
The above result is proved with the help of Pythagoras theorem and explained below.
Step-by-step explanation:
Given figure ABCD in which AD=BC and all angles intersect at right angle. Hence, the triangle formed inside ADC and ABC are right angled triangle.
In triangle ADC,
By applying Pythagoras theorem, we get
→ (1)
In triangle ABC,
→ (2)
Now, from eq (1) and (2)
Peach Tree Dr. is the same distance as Sycamore Ln.
⇒
(∵ AD=BC)
⇒ DC=AB (∵Distance can never negative)
Therefore, Peach Tree Dr. is the same distance as Sycamore Ln.
Answer:
324°
Step-by-step explanation:
Totak angles in a 7 sided polygon = 900°
Side A = 3
Side B = 1
Side C = 4
Side D = 1
Side E = 5
Side F = 9
Side G = 2
Total = 25
The largest angle has the largest ratio which is side F
Angle in side F = Ratio of side F / total ratio × 900°
= 9/25 × 900°
= 0.36 × 900°
= 324°
The largest angle = 324°
The smallest angles are angles with the lowest ratio which are side B and side D
Angle in side B = Ratio of side F / total ratio × 900°
= 1/25 × 900°
= 0.04 × 900°
= 36°
The smallest angles are angles 36°
Answer:
It will take 4.84 hours for the drug to decay to 93% of the original dosage.
Step-by-step explanation:
We are given that the half-life of a certain tranquilizer in the bloodstream is 47 hours.
The given exponential model is:
Now, we know that A becomes half after 47 hours which means that;

Using this in the above equation we get;
where t = 47 hours


Taking log on both sides we get;



k = -0.015
Now, the time it will take for the drug to decay to 93% of the original dosage is given by;
where t is the required time
Taking log on both sides we get;



t = 4.84 hours
Hence, it will take 4.84 hours for the drug to decay to 93% of the original dosage.