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Pie
3 years ago
14

A brand of cereal had 1.21.21, point, 2 milligrams (\text{mg})(mg)left parenthesis, start text, m, g, end text, right parenthesi

s of iron per serving. Then they changed their recipe so they had 1.8\,\text{mg}1.8mg1, point, 8, start text, m, g, end text of iron per serving
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

50\%

Step-by-step explanation:

Previous Iron content per serving=1.2 mg

Current Iron content per serving=1.8 mg

Increase in Iron content per serving=1.8-1.2=0.6 mg

Percentage of Iron Increase

=\dfrac{\text{Increase in Iron Content}}{\text{Previous Iron Content}} X 100\\=\dfrac{0.6}{1.2}X100 \\=50\%

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If the length of a paddock is 2m more than its width and the area is 48m^2, find the length and width of the paddock.
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➷  Let the width be 'x' and the length be 'x + 2'

Area = l x w

Substitute the values in:

48 = x(x + 2)

48 = x^2 + 2x

Use trial and error [it'll only take a few turns] to get the value for x

x = 6

x + 2 = 8

Thus, the length of the paddock is 8m and the width is 6m.

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The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units
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Answer:

C. The volume of the prism is equal to the volume of the cylinder

Step-by-step explanation:

Given

Congruent area of cylinder and triangular prism

Height of triangular prism = 5 units

Height of Cylinder = 5 units

Required

Relationship between the volumes of both shapes.

Let H₁ and H₂ represent the height of the cylinder and the triangular prism

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From the question, we have that both shapes have a congruent area.

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V₂ = A * 5

V₂ = 5A

Comparing both volumes.

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