Answer:
The answer in decimal form, is;
x= 2.12156883...
The exact form is in the picture below
Answer:
let base = 6cm
perpendicular =x cm
hypotenuse =10cm
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
10²=x²+6²
100-36=x²
x=√64=8cm
the measure of the other leg is 8cm
Problem 1
y + (y/a) = b
a*( y + (y/a) ) = a*b ... multiply both sides by 'a'
ay + a(y/a) = ab ... distribute
ay + y = ab
(a+1)y = ab .... factor
y(a+1) = ab
y = ab/(a+1) ... divide both sides by (a+1)
<h3>Answer: y = ab/(a+1)</h3>
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Problem 2
z - a = z/b
b(z - a) = b(z/b) .... multiply both sides by b
b(z - a) = z
bz - ab = z ... distribute
bz - ab+ab = z+ab ... add ab to both sides
bz = z+ab
bz-z = z+ab-z ... subtract z from both sides
bz-z = ab
z(b-1) = ab .... factor
z = ab/(b-1) .... divide both sides by (b-1)
<h3>Answer: z = ab/(b-1) </h3>
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Notes:
To clear out the fractions, I multiplied both sides by the denominator value.
The restriction that 'a' cannot equal -1, back in problem 1, is to avoid having the denominator (a+1) be equal to zero. We cannot divide by zero. A similar situation happens with problem 2 as well.
Answer:
(y + 14)(y - 14)
Step-by-step explanation:
A difference of squares has the general form
a³ - b² and factors as
(a + b)(a - b)
Given
y² - 196
y² = (y)² ⇒ a = y and 196 = 14² ⇒ b = 14
y² - 196
= y² - 14² = (y + 14)(y - 14) ← difference of squares
Answer:
The probability of Javier volunteers for less than three a month is 25%
Step-by-step explanation:
According to the questions,
The probability of Javier to attend exactly 5 events :-
P ( x = 5 ) = 25% = 
The probability of Javier to attend exactly 4 events :-
P ( x = 4 ) =
The probability of Javier to attend exactly 3 events :-
P ( x = 3 ) =
The probability of Javier to attend exactly 2 events :-
P ( x = 2 ) = 
The probability of Javier to attend exactly 1 events :-
P ( x = 1 ) = 
The probability of Javier to attend no events :-
P ( x = 0 ) =
Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).
P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )
P ( x < 3 ) = 
= 
= = 0.25 = 25 %.
