You would simplify it too 2.70927 = 2/3
Answer:
$192
Step-by-step explanation:
Bill: $160.00
Tip: 20%
To figure out 10%, you need to move the decimal point over to the left one place: $16.00
10%: $16.00
16 times 2= $32.00
160.00+32.00= $192.00
Answer:
The first option
Step-by-step explanation:
Adjacent angles are just two angles next to each other
Answer:
220,781.25 cubic cm
Step-by-step explanation:
Given ratio of the diameters = 15:11
Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11
Given that smaller one has diameter of 55cm
thus 11x = 55cm
x = 55/11 cm = 5
Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.
we know that radius is half of diameter
Radius = diameter/2
Thus radius of larger ball = 75/2 cm = 37.5 cm.
Volume of sphere is given by
we know that ball has spherical shape
thus volume of larger ball is calculated as given below
Thus, volume of larger ball is 220,781.25 cubic cm
Answer:
θ = 18°27'
Step-by-step explanation:
As the hint says, you need to calculate CE using the triangles ΔABC and ΔBDE.
Using segment addition, CE = CB + BE. So first use trigonometry to find these segments.
First, let's find CB.
sin 22° = CB / 4.882
CB = 1.8288
Next, let's find BE.
cos 22° = AB / 4.882
AB = 4.5265
BD = AB − 1.975
BD = 2.5515
tan 48° = BE / BD
BE = 2.8337
Now we can find CE and θ.
CE = CB + BE
CE = 4.6626
cos θ = CE / 4.915
θ = 18.443°
A minute is 1/60th of a degree.
0.443° × (60 '/°) = 27'
So θ = 18°27'.