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Mathematics

1 answer:

padilas [110]3 years ago

7 0

1. I chose Volleyball, which has only 2 kids. Football has 9 kids. So to find how many more kids prefer Football over Volleyball we subtract the two.

9-2= 7

2. The least popular sport is Volleyball, which again is 2.
And soccer has 7 kids who prefer Soccer over any other sport.

So it’s the same process, 7-2= 5

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Which side of AXYZ is the longest?

Jlenok [28]

Answer:

Step-by-step explanation:

the longest side of a triangle is opposite the largest angle.

∠ Y = 180° - 60° - 43° = 180° - 103° = 77°

then ∠ Y is the largest angle in the triangle , so

side opposite ∠ Y is the longest , that is XZ

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1 year ago

4.5(8-x)+36=102-2.5(3x+24) show step by step how to solve please.

romanna [79]

Expand

simplify 36 - 4.5x + 36 to -4.5x + 72

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add 7.5x to both sides

simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

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3 years ago

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.

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

- 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:

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