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almond37 [142]
3 years ago
12

What is ¼(2.5 + c) (8) = 11

Mathematics
2 answers:
artcher [175]3 years ago
8 0
The answer is this c= 3
elixir [45]3 years ago
7 0

Answer:

<h2><u><em>c = 3</em></u></h2>

Explanation:

¼(2.5 + c) (8) = 11

  • Multiply Both Sides By 4

(4) ¼(2.5 + c) (8) = 11 (4)

  • Simplify

8 (2.5 + c) = 44

  • Divide Both Sides By 8

8 (2.5 + c) / 4 = 44 / 4

  • Simplify

2.5 + c = ¹¹⁄₂

  • Subtract 2.5 From Both Sides

2.5 + c - 2.5 = ¹¹⁄₂ - 2.5

  • Simplify
<h2><em><u>c = 3</u></em></h2>
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Read 2 more answers
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Anton [14]

Answer:

The area of the triangle is 346.0\ mm^2

Step-by-step explanation:

Given

Triangle VWU

Required

Determine the Area of the Triangle

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60 +

Next is to determine the length of VW using Sine Law which goes thus

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Multiply both sides by Sin24

SIn24 * \frac{VW}{Sin24} = \frac{34}{Sin36} * Sin24

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VW = \frac{34}{0.5878} * 0.4067

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<em>At this stage, we have two known sides and two known angles;</em>

<em>The Area can be calculated as the 1/2 * the products of two sides * Sin of the angle between the two sides</em>

Considering VW and VU

VW = 23.5 (Calculated);

VU = 34 (Given)

The angle between these two sides is 120 (Calculated);

Hence;

Area = \frac{1}{2} * 23.5 * 34 * Sin120

Area = \frac{1}{2} * 23.5 * 34 * 0.8660

Area = \frac{1}{2} * 691.934

Area = 346.0 mm^2

<em>Hence, the area of the triangle is </em>346.0\ mm^2

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