I think it would just me 20 +72m, since it is already simplified
Mr. Blue' salary is an illustration of a geometric sequence
- The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)
- The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
<h3 /><h3>How to determine the explicit formula?</h3>
Mr. Blue's salary is a geometric sequence with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1 * r^(n - 1)
This gives
an = 30000 * 2^(n - 1)
<h3>How to determine the recursive formula?</h3>
The common ratio is calculated as:
r = an+1/an
Substitute 2 for r
2 = an+1/an
Cross multiply
an+1 = 2an
Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
Read more about arithmetic sequence at:
brainly.com/question/6561461
Its choice d because 1^2 - 5(1) + 6
= 1 - 5 + 6
= 2
Answers:
x = 25 in
y = 16.3°
z = 73.7°
Explanation:
Part (a): getting the value of x:
Since the given triangle is a right-angled triangle, we can get the value of x which is the hypotenuse of the triangle using the Pythagorean theorem as follows:
(hypotenuse)² = (side1)² + (side2)²
x² = (24)² + (7)²
x² = 625
x = √625
either x = 25 in ..........> accepted
or x = -25 in .........> rejected as side length cannot be negative.
Based on the above:
x = 25 in
Part (b): getting the value of y:
Since the given triangle is a right-angled triangle, therefore, special trigonometric functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
In the given, we have:
θ = y
opposite side = 7 in
adjacent side = 24 in
Apply in the tan formula:
tan y = 7/24
y = 16.3° to the nearest tenth
Part (c): getting the value of z:
This can be solved in two ways:
Solution 1: Using angles
Sum on internal angles in a triangle is 180
90 + 16.3 + z = 180
z = 73.7°
Solution 2: Using special trig functions:
We have θ = z
opposite side = 24 in
adjacent side = 7 in
tan z = 24/7
z = 73.7° to the nearest tenth
Hope this helps :)
