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4 years ago

Dana has ⅘ cup of ice cream. How many ⅛ cup servings are in ⅘ cup of ice cream?

Mathematics

2 answers:

mario62 [17]4 years ago

8 0

Answer:

A 6.4

Step-by-step explanation:

(4/5)/(1/8) this is the answer

Afina-wow [57]4 years ago

4 0

Answer: A

Step-by-step explanation: It is A because if you find a common denominator of 40 with 4/5 and 1/8, you see that 4/5 turns into 32/40, and 1/8 turns into 5/40. Then you do 32 divided by 5, which is 6.4, which is 6 2/5.

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What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)

rjkz [21]

Answer:

given:

height[h]=8mm

radius [r]=5mm

Now,

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C) 209 mm³ is a required answer.

3 0

3 years ago

Read 2 more answers

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). Sketch the curves.

raketka [301]

Answer:

3√3

Step-by-step explanation:

r = 3 cos θ

r = 2 - cos θ

First, find the intersections.

3 cos θ = 2 - cos θ

4 cos θ = 2

cos θ = 1/2

θ = -π/3, π/3

We want the area inside the first curve and outside the second curve. So R = 3 cos θ and r = 2 - cos θ, such that R > r.

Now that we have the limits, we can integrate.

A = ∫ ½ (R² - r²) dθ

A = ∫ ½ ((3 cos θ)² - (2 - cos θ)²) dθ

A = ∫ ½ (9 cos² θ - (4 - 4 cos θ + cos² θ)) dθ

A = ∫ ½ (9 cos² θ - 4 + 4 cos θ - cos² θ) dθ

A = ∫ ½ (8 cos² θ + 4 cos θ - 4) dθ

A = ∫ (4 cos² θ + 2 cos θ - 2) dθ

Using power reduction formula:

A = ∫ (2 + 2 cos(2θ) + 2 cos θ - 2) dθ

A = ∫ (2 cos(2θ) + 2 cos θ) dθ

Integrating:

A = (sin (2θ) + 2 sin θ) |-π/3 to π/3

A = (sin (2π/3) + 2 sin(π/3)) - (sin (-2π/3) + 2 sin(-π/3))

A = (½√3 + √3) - (-½√3 - √3)

A = 1.5√3 - (-1.5√3)

A = 3√3

The area inside of r = 3 cos θ and outside of r = 2 - cos θ is 3√3.

The graph of the curves is:

desmos.com/calculator/541zniwefe

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NNADVOKAT [17]

Answer:

APRIL

Step-by-step explanation:

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3 years ago

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IceJOKER [234]

Answer:

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Step-by-step explanation:

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Novay_Z [31]

Answer:

Step-by-step explanation:

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