Answer:
40
Step-by-step explanation:
Angle Formed by Tangent and Secant
= 1/2 (DIFFERENCE of Intercepted Arcs)
< WVT = 1/2 ( WT - UW)
3x+4 = 1/2 (( 14x +7) - (7x+11))
Distribute
3x+4 = 1/2 ( 14x +7 - 7x-11)
Combine like terms
3x+4 = 1/2 ( 7x -4 )
Multiply each side by 2
6x +8 = 7x-4
Subtract 6x from each side
+8 = x-4
Add 4 to each side
12 =x
WVT = 3x+4
= 3*12 +4
= 36+4
= 40
The simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3
<h3>How to evaluate the expression?</h3>
The expression is given as:
3^2018 + 3^2015 / 3^2017 + 3^2016
Factor out 3^2015 in the expression
So, we have
3^2015(3^3 + 1)/3^2015(3^2 + 3)
Cancel out the common factor
(3^3 + 1)/(3^2 + 3)
Evaluate the exponents
(27 + 1)/(9 + 3)
This gives
28/12
Simplify
7/3
Hence, the simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3
Read more about expressions at:
brainly.com/question/723406
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Answer:
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Given
x + 
← substitute x = 2 + 
= 2 + + 
Rationalise the denominator of the fraction by multiplying the numerator/ denominator by the conjugate of the denominator.
The conjugate of 2 + is 2 - , thus
= 2 + + 
= 2 + + 
= 2 + + 2 -
= 4
Answer:
The probability that the month starts with the letter J or the letter M is 41.66%.
Step-by-step explanation:
Given that a month of the year is chosen at random, to determine what is the probability that the month starts with the letter J or the letter M, the following calculation must be performed:
January - March - May - June - July = 5 months
(5/12) x 100 = X
0.4166 x 100 = X
41.66 = X
Therefore, the probability that the month starts with the letter J or the letter M is 41.66%.
