Answer:
Step-by-step explanation:
Step-by-step explanation:
By taking ( x = 18°)
<u>L.H.S</u>
cos(3x)=sin(2x)
cos(3x) = cos( 3X18°)= cos (54°)
= cos[ 90° - (2x18°)] ∵[ 90°- (2x18°) = 54°]
= ∴ sin ( 2x18°)
As (x = 18°)
= sin (2x) = R.H.S
Answer: Her measuring cup has 8.25 mL of medicine.
Step-by-step explanation:
As per given,
In 11 mL of medicine, there are 20 drops.
That means quantity in 1 drop = 
mL
Now , the quantity in 15 drops = 15 x quantity in 1 drop
= 
= 8.25 mL
Hence, her measuring cup has 8.25 mL of medicine.
Answer:
96feet
Step-by-step explanation:
Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2
x is the number of feet away from the sprinkler head the spray
To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;
From the equation
ℎ(x)=160−16x^2
h(2) = 160-16(2)²
h(2) = 160-16(4)
h(2) = 160-64
h(2) = 96feet
Hence the height will be 96feet if the spray is 2feet away from the sprinklers head
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
45 minutes equal to 2700 seconds.
