Answer:
The answer to your question is 43.7 g of chocolate
Step-by-step explanation:
Data
56% cocoa
mass of a chocolate bar = 78 g
Process
To solve this problem, use proportions and cross multiplication, consider the mass of the bar is 100%.
78 g of chocolate ------------------- 100%
x ------------------ 56%
x = (56 x 78) / 100
x = 4368/100
x = 43.68 g
-Round to the nearest tenth
Mass of the chocolate = 43.7 g
Answer:
Volume of given figure = 113.12 cm²
Step-by-step explanation:
Given:
Radius of cylinder = 4/2 = 2cm
Radius of cone = 4/2 = 2 cm
Height of cylinder = 7 cm
Height of cone = 6 cm
Find:
Volume of given figure
Computation:
Volume of given figure = Volume of cylinder + Volume of cone
Volume of given figure = πr²h + (1/3)πr²h
Volume of given figure = (22/7)(2)²(7) + (1/3)(22/7)(2)²(6)
Volume of given figure = (22/7)(4)(7) + (1/3)(22/7)(4)(6)
Volume of given figure = (22)(4) + (22/7)(4)(2)
Volume of given figure = 88 + 25.14
Volume of given figure = 113.12 cm²
<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:
Next, divide both sides by 2:
Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:
Next, factor the left side:
Next, square root both sides of the equation:
Next, add 4 to both sides of the equation:
Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.
<h2>Answer:</h2>
In exact form, your answer is 
In approximate form, your answers are (rounded to the hundreths) 
Answer:
-1
Step-by-step explanation:
