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Anni [7]
3 years ago
6

If a+b=2 find the value of a3+b3+6ab

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

Answer:

Step-by-step explanation:

Factor the sum of cubes

a³ + b³ = (a+b)(a² - ab +b²)

= 2a² - 2ab + 2b²

a³ + b³ + 6ab = 2a² + 4ab + 2b²

= 2(a² + 2ab +b²)

= 2(a+b)²

= 8

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What is the degree-measure of an angle travelled by the minute hand from 3:05pm to 3:50pm?
maria [59]

Answer:

270°

Step-by-step explanation:

We know that a full circle is 360°, the shape of a clock, and that the clock is divided into 12 different sections.

Our equation would be: 360 ÷ 12 = 30

3:05 is at the 1 hand and 3:50 is at the 10 hand. Subtract 1 from 10 and you get 9.

9 · 30 = 270, so our angle is 270°

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8 0
3 years ago
13. A square based cuboid has a width of 4cm. If the volume of the cuboid is 400 cubic
dsp73

Answer:

216 cm²

Step-by-step explanation:

Applying,

V = lwh..................... Equation 1

Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.

From the question,

Since the base of the cubiod is squared,

Therefore,

w = l = 4 cm, V = 400 cm³

Substitute these values into equation 1

400 = 4×4×h

h = 400/(4×4)

h = 25 cm

A = lw+lh+wh.................. Equation 1

Where A = surface area of the cuboid.

Given: l = 4 cm. w = 4 cm, h = 25 cm

Substitute these values into equation 1

A = (4×4)+(4×25)+(4×25)

A = 16+100+100

A = 216 cm²

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Step-by-step explanation:

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