Answer:
Options (2) and Option (1)
Step-by-step explanation:
Area of the ΔXYZ = 
= 
= 
By applying sine rule in the ΔYPZ,
sin(38°) = 
sin(38°) = 
h = 14[sin(38°)]
Therefore, area of the given triangle = 
By applying sine rule in ΔYPZ,
sin(58°) =
sin(58°) = 
h = 10sin(58°)
Area of ΔXYZ = 
Therefore, Options (2) and Option (1) are the correct options.
Answer:
-513.22
Step-by-step explanation:
I don't think they earned any profit. but instead lost money. Sorry it was wrong at first, I misread something.
Step-by-step explanation:
Similar figures have same ratio of corresponding sides.
Set up ratios and solve for x.
#1
- x / 54 = 6 / 36
- x / 54 = 1/6
- x = 54/6
- x = 9
#2
- x / 4 = 99 / 11
- x / 4 = 9
- x = 4*9
- x = 36
#3
- x / 10 = 6 / 60
- x / 10 = 1/6
- x = 10/6
- x = 5/3
#4
- x / 4 = 28 / 7
- x / 4 = 4
- x = 4*4
- x = 16
We calculate for the volumes of each of the wax needed for the candles through the equations presented below.
For cylinder:
V = πr²h
where V is volume, r is radius and h is height.
Substituting the known values,
V = (3.14)(3 in)²(6 in)
V = 169.56 in³
For sphere:
V = 4πr³/3
Substituting the known values,
V = 4(3.14)(3 in)³ / 3 = 113.04 in³
The difference between the two volumes,
difference of volumes = 169.56 in³ - 113.04 in³
<em>difference of volumes = 56.52 in³</em>
Thus, the answer to this item is the last choice.
