Answer:
Any number greater than 43.54 and less than 43.6 rounds to 43.6. So, 43.55, 43.56, 43.57, 43.58 and 43.59 all round up to 43.6.
Answer: $25 spent
Step-by-step explanation: the boy spent $15/total.
15/total=3/8
Divide by common factor: $15/3=$5 (1/8 total money
$5x8=$40
$40-$15=$25 spent
If you would like to know what percent is 27.30 of 36.40, you can calculate this using the following steps:
x% of 36.40 = 27.30
x/100 * 36.40 = 27.30
x/100 = 27.30/36.40
x = 27.30/36.40 * 100
x = 75
To check: 75% * 36.40 = 75/100 * 36.40 = 27.30
The correct result is 75%.
FIRST PARTWe need to find sin α, cos α, and cos β, tan β
α and β is located on third quadrant, sin α, cos α, and sin β, cos β are negative
Determine ratio of ∠α
Use the help of right triangle figure to find the ratio
tan α = 5/12
side in front of the angle/ side adjacent to the angle = 5/12
Draw the figure, see image attached
Using pythagorean theorem, we find the length of the hypotenuse is 13
sin α = side in front of the angle / hypotenuse
sin α = -12/13
cos α = side adjacent to the angle / hypotenuse
cos α = -5/13
Determine ratio of ∠β
sin β = -1/2
sin β = sin 210° (third quadrant)
β = 210°

SECOND PARTSolve the questions
Find sin (α + β)
sin (α + β) = sin α cos β + cos α sin β



Find cos (α - β)
cos (α - β) = cos α cos β + sin α sin β



Find tan (α - β)


Simplify the denominator


Simplify the numerator


Simplify the fraction

12
2 multiplied by 6 is 12 and so 1 multiplied by something is 12
Hope this helps.