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3 years ago

Round your answer to the nearest hundredth.

Mathematics

2 answers:

Nat2105 [25]3 years ago

7 0

Answer:

Step-by-step explanation:

lina2011 [118]3 years ago

3 0

Answer:

The value of ∠A = 67.98°

Step-by-step explanation:

The right angled triangle is given as

Given ,

Value of AC = 3 units

Value of AB = 8 units

Value of ∠A = ?

By using Pythagoras theorem,

$AB^{2}$ = $AC^{2} +BC^{2}$

$8^{2} = 3^{2} + BC^{2}$

BC = $\sqrt{55}$

By using Cos A = AC/AB

A = $\cos^{-1}3/8$

A = 67.98°

 The value of ∠A = 67.98°

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Nikitich [7]

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = $\frac{\theta}{360}(\pi r^{2})$

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = $\frac{60}{360}(\pi) (10^{2})$

= 52.36 in²

Area of equilateral triangle BCD = $\frac{\sqrt{3} }{4}(\text{Side})^2$

= $\frac{\sqrt{3} }{4}(10)^2$

= $25\sqrt{3}$ in²

= 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

= 9.06 in²

Area of sector CAD = $\frac{90}{360}(\pi)(\sqrt{50})^2$

= 39.27 in²

Area of right triangle CAD = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(\text{AC})(\text{AD})$

= $\frac{1}{2}(\sqrt{50})(\sqrt{50})$

= 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

= 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

= 23.33 in²

8 0

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fomenos

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Answer:

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Step-by-step explanation:

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