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Radda [10]
3 years ago
5

Alfie buys two books, each at the same price. He pays with a £10 note and gets £2.30 change.

Mathematics
1 answer:
Simora [160]3 years ago
7 0
First subtract the amount he paid from the amount of change he got:

10 - 2.30 = 7.70

So the price for the two books was <span>£7.70, now divide by 2.

7.70 / 2 = 3.85

So each book cost </span><span>£3.85</span>
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Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati
Lera25 [3.4K]

Answer:

  (36π -72) cm²

Step-by-step explanation:

The area of a segment that subtends arc α (in radians) is given by ...

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4 0
3 years ago
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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?​</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x

$\cos \left(38.5^{\circ}\right) x=40

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}

simplifying the above equation, we get

$x=\frac{40}{\cos \left(38.5^{\circ}\right)}

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

#SPJ9

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1 year ago
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