The unknown values are as follows:
a = 48.7°
b = 51.43
c = 12.16
d = 122.39
<h3 />
<h3>Properties of a right angle triangle:</h3>One angle is equals to 90 degrees
- The sides and angle can be calculated using trigonometric ratios
Therefore,
sin 72.3° = opposite / hypotenuse
sin72.3° = 49 / b
b = 49 / sin 72.3
b = 49 / 0.95266148125
b = 51.4348495916
b = 51. 43
a = (180 - 90 - 23.6) - (180 - 72.3 - 90)
a = 66.4 - 17.7
a = 48.7°
tan 23.6 = opposite /adjacent
tan 23.6 = 49 / c
c = 49 / tan 23.6
c = 112.158945248
c = 12.16
sin 23.6 = opposite /hypotenuse
sin 23.6 = 49 / d
d = 49 / sin 23.6
d = 49 / 0.40034903255
d = 122.39
learn more on right angle triangle: brainly.com/question/9445713?referrer=searchResults
First let's set a proportion. 8/100 = 24/x. Cross multiply and your equation is 8x = 2400. Then divide both sides by 8 and your answer is 300.
Answer:
The volume of the kaleidoscope (hollow cylinder) is 613.33 in.³
Step-by-step explanation:
Here we have;
The equation for the volume of a cylinder given as follows;
Volume of cylinder = π × r² × h
Given that the height, h of the cylinder = 9 cm
The radius, r = 5 cm
Volume of the solid cylinder before cutting out the hexagon hole is thus found as follows;
Volume of cylinder = π × 5² × 9 = 706.86 cm³
Volume of hexagon hole = Area of base × height
Where:
Area, A of a regular hexagon of side a = 
Therefore, volume of the regular hexagon = 
Therefore, the volume of the kaleidoscope (hollow cylinder) = 706.86 - 93.53 = 613.33 in.³.
