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3 years ago

Zack is taking a test in which he answers questions at a rate of 1/2

1 answer:

6 0

well if he answers half a question per minute then it would take 2 minutes to answer a question. Therefore if you flip the numerator and the denominator you can multiply that by how many questions are being asked as shown:

q=6

1/2x2=1

2/1=2xq

2x6=12

?=12 minutes

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1. Determine a rule that could be used to explain how the volume of a

Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

$V_c = \pi *r^2*h$

- Similarly, the volume of cone ( V_c ) is represented by:

$V_c = \frac{1}{3}*\pi *r^2 * h$

Where,

r : The radius of cylinder / radius of circular base of the cone

h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

$V = C*r^2$

Where,

C: The constant of proportionality

- Hence the proportional relation is expressed as:

V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

$V = C*(a*r)^2\\\\V = C*a^2*r^2$

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

$V = (\frac{1}{3} \pi *r^2*h)*a^2$

$V = ( \pi *r^2*h)*a^2$

8 0

3 years ago

The ratio of North American Butterflies to South American butterflies at a butterfly park is 7:4. The ratio of South American bu

andrew-mc [135]

There are 23 south ameican for evry 1

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3 years ago

(3m^3- 1/2 y) (3m^w - 1/2y)

Brilliant_brown [7]

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4 years ago

Give Area of a circle of diameter of 120 meters

Valentin [98]

Answer:

Area=11,309.73

Step-by-step explanation:

area of a circle is πr^2 so half of the diameter is the radius so it's 60.

pi x 60^2= 11,309.73

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3 years ago

Select all expression that are equivalent to 64 2/3.

pav-90 [236]

Answer:

<h2>Option B and D</h2>

Step-by-step explanation:

As,

${64}^{ \frac{2}{3} } = {(\sqrt[3]{64})}^{2} = \sqrt[3]{ {64}^{2} }$

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3 years ago