Answer:
LN = 66 cm
Step-by-step explanation:
The 3 parallel lines divide the 2 sides they intersect in proportion, that is
= 
, substitute values
= 
( cross- multiply )
15LM = 315 ( divide both sides by 15 )
LM = 21
Hence
LN = LM + MN = 21 + 45 = 66 cm
Answer: 14gallons
Step-by-step explanation:
12gallons/144miles = 1gallon/12miles
Therefore 6gallons = 12*6 = 72miles.
In order to cover 240miles, she will need 240/12 = 20gallons.
20-6 = 14gallons
She will need 14gallons of gas more.
Answer:
Pierre is right
Step-by-step explanation:
The correct formula for Exponential growth rate is given as:
y = a( 1 + r) ^t
Where
y = Amount after time t
a = Initial amount
r = Growth rate
t = time
From the question
a = 300
r = 2% = 0.02
Hence, our exponential growth rate =
y = 300( 1 + 0.02)^t
y = 300( 1.02)^t
Therefore, Pierre is right
<h3>
Answer: 5 - 4i (choice A)</h3>
===================================================
Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
-----------
Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
Answer:
a. 1.75
Step-by-step explanation:
r values, or the correlation coefficient must be between -1 and 1, inclusive
-1 is a perfect negative correlation
0 is no correlation
+1 is a perfect positive correlation
1.75 is not between -1 and 1
