Answer:
Step-by-step explanation:
The idea here is to be able to write and then solve the equation needed for this. In words, this is what you are looking to solve: "The active ingredinet is 45% of the mass of the pill". Putting those words into an equation:
active ingredient = .45 (mass of pill). Since our active ingredient is 35 mg:
325 = .45m and divide by .45:
m = 722.2 mg
Answer:
x ≈ 3.4 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° =
=
( multiply both sides by 4 )
4 × sin57° = x , thus
x ≈ 3.4 cm ( to 1 dec. place )
Answer:
Step-by-step explanation:
(3x – 5)(–x + 4)
(3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4).
-3x^2+12x +5x -20
-3x^2+ 17x -20
The solutions to the equation
are k = 1 and 8
The given equation is:

Square both sides of the equation

Expand the left side of the equation above

Write the quadratic equation in standard form

Factor the quadratic equation

Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation
are k = 1 and 8
Learn more here: brainly.com/question/25840704