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3 years ago

A G.P has its 3rd term and 7th term as 45 and 3645 respectively. what is the product of its 2nd and 4th

Mathematics

1 answer:

Ede4ka [16]3 years ago

3 0

Answer:

2,025

Step-by-step explanation:

Given:

Third term ar² = 45

Seventh term ar⁶ = 3,645

Find:

ar x ar³

Computation:

From 7th term / 3rd term

ar⁶ / ar² = 3,645 / 45

r⁴ = 81

r = 3

So,

ar² = 45

a(3)² = 45

a = 5

So,

ar x ar³

(5)(3) x (5)(3)³

2,025

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180(n-2) Divided by n

erastova [34]

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3 years ago

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A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water

Simora [160]

Answer:

1356cm3

Step-by-step explanation:

when the stone is dropped in to the water the new height is 17.4cm(14+3.4)

find the volume when the height is 14cm and when the height is 17.4cm

24*14*17.4=4716

24*14*14=3360

then subtract the two volumes

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3 years ago

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Find the value of a square + b square when a+b = 8 and ab = 10

Ne4ueva [31]

As we know,

$\boxed{ \boxed{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}}$

now, let's plug the given values to find a² + b²

$(8) {}^{2} = {a}^{2} + {b}^{2} + (2 \times 10)$

$64 = {a}^{2} + {b}^{2} + 20$

${a}^{2} + {b}^{2} = 64 - 20$

$a {}^{2} + b {}^{2} = 44$

5 0

3 years ago

A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer

solong [7]

Answer:

$Volume = 18312.48$

Step-by-step explanation:

Given

$Height (h) = 18mm$

$Radius (r) = 18mm$

Required

Determine the volume

The volume of a cylinder is calculated as thus:

$Volume = \pi r^2h$

Substitute values for r and h

$Volume = 3.14 * 18^2 * 18$

$Volume = 18312.48$

Hence, the volume of the cylinder is 18312.48mm³

8 0

3 years ago

12. Determine the area of the shaded region. 12 in 12 in

vekshin1

Answer:

216/7 in²

Step-by-step explanation:

We know that:

Area of shaded region = Area of square - Area of circles
Radius of circle = 3 in
Area of circle = πr²
Area of square = s²

Solution:

Area of shaded region = Area of square - Area of circles
=> Area of shaded region = (12²) - 4(22/7 x 3 x 3)
=> Area of shaded region = (144) - 4(22/7 x 9)
=> Area of shaded region = (144) - 4(198/7)
=> Area of shaded region = 144 - 792/7
=> Area of shaded region = 144 x 7/7 - 792/7
=> Area of shaded region = 1008/7 - 792/7
=> Area of shaded region = 1008/7 - 792/7
=> Area of shaded region = 216/7 in²

3 0

3 years ago