Answer:
17. z=39/sin45=
y=39/tan60=
x=y/sin60=
19. x=
=6
y=2x=12
z=
Step-by-step explanation:
17.
because:sin45=39/z
so: z=39/sin45=
then: tan60=39/y
so: y=39/tan60=
last: sin60=y/x
so: x=y/sin60=
19.
because: tan60=
/x
so: x==6
then: sin30=x/y
so: y=x*sin30=2x=12
last: sin45=y/z
so: z=sin45*y=
Answer:$ 23.40
Step-by-step explanation:
She spend $23.40 on the bracelet. First you need to subtract the cost of the glasses($16.35) from the total($39.75) to get the answer of how much the bracelet is($23.40).
Answer:
9 cm
Step-by-step explanation:
Since the container is a cylinder of base diameter d₁ = 12 cm and thus radius r = 12/2 = 6 cm. The water height is 8 cm. The initial volume of water is thus V₁ = πr²h = π × 6² × 8 = 288π cm³.
The sphere of diameter d = 6 cm has radius r₁ = 6/2 = 3 cm. Its volume V₂ = 4πr³/3 = 4π × 3³/3 = 36π cm³
Since the sphere displaces it own volume of liquid, the new volume V = V₁ + V₂ = 288π cm³ + 36π cm³ = 324π cm³
This is the new volume of water in the cylinder. Since the water level rises by h' cm and V = πr²h'
h' = V/πr²
= 324π cm³/π(6)²
= 324π cm³/36π cm²
= 9 cm
So, the water level is 9 cm above the base
Answer:
15
Step-by-step explanation:
To find the average rate if change of the exponential function between the interval [2, 6], use the formula, 
Where,
Plug in the above values into the formula:
Average rate of change is 15
