kira3039
12.08.2020 •
Mathematics
Campbells soup company want to create a new sized cam for a new line of soups.If the can holds a volume of 3416.32 cm and the height of the can is 17cm what is the area of the base of the can
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Ответ:
Step-by-step explanation:
Volume of the can is expressed as Length *Breadth* Height.
If the area of the can base is Length * Breadth
Volume of the can = area of the base of the can * Height
Given parameters
Volume of the can V = 3416.32cm³
Height of the can h = 17cm
Required
Area of the base of the can
Substituting the given parameters into the formula we have;
V = Ah
A = V//h
A = 3416.32/17
A = 200.96cm²
Hence, the area of the base of the can is 200.96cm²
Ответ:
11.62468045 or 11.6 to 1 decimal place
Step-by-step explanation:
→ We need to utilise trigonometry. The first step would be to list out the formula triangles
Tan = Opposite ÷ Adjacent
Sin = Opposite ÷ Hypotenuse
Cos = Adjacent ÷ Hypotenuse
→ Now we need to know which triangle to use, we do that by identifying the side or length we are not given in the triangle and then finding a formula without the name of the given side. First let's identify all the sides.
Opposite = AC = 16
Adjacent = BC = We need to find this out
Hypotenuse = AB = No given value
→ Now we look for a formula with hypotenuse
Tan = Opposite ÷ Adjacent
→ The (Tan = Opposite ÷ Adjacent) is the formula we are going to be using. Since we want to find out the adjacent, we have to rearrange to get adjacent as the subject
Adjacent = Opposite ÷ Tan
→ Now we identify the Opposite and the Tan
Opposite = 16
Tan = 54°
Side note ⇒ Sin, cos and tan will always be the angles
→ Substitute in the values in the formula
Adjacent = Opposite ÷ Tan ⇔ Adjacent = 16 ÷ Tan (54) ⇔ Adjacent = 11.6
→ The adjacent is 11.6 to 1 decimal place