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3 years ago

If y varies directly as the square of x and y = 12 when x = 2 find the value of x when y = 108

Mathematics

1 answer:

dolphi86 [110]3 years ago

8 0

108/12 = 9 so when y = 108 x = 9×2 which = 18 so when y =108 x = 18

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15. The height and yolume of a cylinder are 4cm and 616cm respectively. Calculate the diameter of the base. (take t = 27 쪽 A. 7c

irakobra [83]

Step-by-step explanation:

Given that,

Height of cylinder = 4 cm
Volume of cylinder = 616 cm³

To find,

Diameter of the base = ?

Firstly we'll find the base radius of the cylinder.

$\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\$

According to the question,

$\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\$

$\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\$

$\longmapsto\rm{4312 = 88 \times r^2 }\\$

$\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }\\$

$\longmapsto\rm{49 = r^2 }\\$

$\longmapsto\rm{\sqrt{49} = r }\\$

$\longmapsto\rm{7 \; cm = r }\\$

Now,

$\longmapsto\rm{Diameter = 2r }\\$

$\longmapsto\rm{Diameter = 2(7 \; cm) }\\$

$\longmapsto\bf{Diameter = 14 \; cm}\\$

The required answer is 14 cm.

4 0

3 years ago

Activity paper to answer

PIT_PIT [208]

Answer:

a) 5cm

b) 16cm

c) 25cm

d) 124cm

a) 4m

b) 6m

c) 10m

d) 26m

a) 2km

b) 4km

c) 11km

d) 28km

Step-by-step explanation:

When you have a number and it tells you to round it to the nearest cm (m, km etc.), it means you just have to make it a whole number (integer) instead of a decimal by rounding it up or down.

To tell whether you round up or down, you look at the number after the decimal place and if it is under 5, you round down but if it is 5-9 you round up.

For example,

If we had 20.3 (not one of the questions) you would round it down to 20 because the 3 after the decimal place is smaller than 5.

However, if we had 24.7 you would have to round it up because the 7 is from 5-9.

Hope this helps :)

5 0

3 years ago

Click on file! please help, thank you!! <3

Elden [556K]

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5x+8x+10x-3x= 20x Add 10+5+8 to get 23 then subtract 3

7 0

3 years ago

At rolling hills middle school, the ratio of the total number of students to the number of students with pets is 3 to 1. If ther

Roman55 [17]

3/1 = 243/x
243 = 3x
81 students

5 0

3 years ago

At the market, 8 apples cost $4. How much do 9 apples cost?

11111nata11111 [884]

Answer:

Step-by-step explanation:

3 0

3 years ago

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