Answer:
t = In2/ r
Step-by-step explanation:
Given the formula : A = Pe^rt
For investment to double ;
Final amount (A) = 2 * initial investment (p)
A = 2p
Hence,
2p = pe^rt
2 = e^rt
Take the In of both sides
In2 = rt
Divide both sides by r
In2 /r = rt /r
In2/ r = t
t = In2/ r ; Hence, the proof
Answer:
18.66521%
Step-by-step explanation:
It seems all of the numbers are duplicated, the correct number should be 7%, 14 corner kicks, and 2 opportunities.
The team has 7%(x=0.07) chance to score so that means the chance to not scoring will be: y= 1-x = 100%-7%= 93%. There are 14 opportunities and we want to know the probability to get exactly 2 scores. The calculation will be:
P(x=2)= 2C14 * x^2 * y^12
P(x=2)=91 * 0.07^2 * 0.93^12= 18.66521%
Answer:
SAS triangle because a SAS stands for side angle side that's how u always know
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of x
we know that
Triangles CDF and FDE are similar
therefore
The ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
Part 2) Find the length of DE
substitute the value of x
Answer:
134.4 centimeters
Step-by-step explanation:
This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).
replace the values in the equation.
83²+x²=158²
get rid of the exponents.
6,889+ x² = 24,964.
subtract 6,889 from 24,964.
x²=18,075.
find the square root on both sides of the equation.
x=134.4432966.
I am assuming you want this rounded to the nearest tenth.
134.4 is your answer.
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