The trigonometric function that can be used to find the value of x is 12 / tan ( 25 ) . The correct values of a and b will be 12 and 25 resp . .
Given :
A right angle triangle , one angle = 25 ° and side opposite given angle = 12 units .
Trigonometric Formula for Tan θ
tan θ = perpendicular / base , tan θ = ( sin θ / cos θ ) , tan θ = ( 1 / cot θ ) .
where θ = 25 , perpendicular = 12 , base = x .
Substituting values in above first formula ,
tan 25 = 12 / x
Therefore , x = 12 / tan ( 25 ) .
Hence , a = 12 and b = 25 .
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933.33 x 933.33 is ypur answer to maximize area
Answer:
363
Step-by-step explanation:
Formula for area of a circle
A = πr^2
Where r = radius
The circle has a given radius of 11
To find the area of the circle we simply substitute r in the formula with the value of the radius (11)
( Also note that the question says to use 3 for π )
A = πr^2
π = 3
r = 11
Substitute values in formula
A = (3)(11)^2
11^2 = 121
A = 121(3)
121(3) = 363
A = 363
GCF(24, 30, 42) = 6 I think it is.
Answer:
a) $86.11
b) $467.33
Step-by-step explanation:
no. of gallons saved 'n' per year
n = (10000/33) - (10000/36)
n = 2500/99
Amount saved = 3.41×n = 3.41×2500/99
= $86.11
b) over 5 years:
86.11( 1 + (1.041) + (1.041)² + (1.041)³ + (1.041)⁴ )
= 86.11(5.427157431)
= $467.33
