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AnnZ [28]
3 years ago
5

What value of c makes the equation true? (PLEASE HELP, and look at the picture)

Mathematics
2 answers:
Cloud [144]3 years ago
8 0

Answer:

\displaystyle c = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \frac{3}{6} = \frac{4}{c}

<u>Step 2: Solve for </u><em><u>c</u></em>

  1. Simplify [Reduce]:                                                                                             \displaystyle \frac{1}{2} = \frac{4}{c}
  2. [Multiplication Property of Equality] Cross-multiply:                                      \displaystyle c = 8
KiRa [710]3 years ago
3 0

Answer:

c = 8

Step-by-step explanation:

\small \sf \frac{3}{6} = \frac{4}{c } \\

  • Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.

c × 3 = 6 × 4

  • multiply 6 and 4 to get 24

3c = 24

  • divide both side by 3

\small \sf  \frac{3c }{3} = \frac{ 24} {3} \\

\small \sf  \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\

  • Divide 24 by 3 to get 8.

c = 8

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Vikki [24]

Answer:

Area = 112.1 m^2

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

\frac{w}{sin(W)} = \frac{x}{sin(X)}

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

\frac{w}{sin(24)} = \frac{31}{sin(130)}

Multiply both sides by sin(24) to solve for x

\frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24)

w = \frac{31*sin(24)}{sin(130)}

w = 16.5 mm (approximated)

XY = w = 16.5 mm

Find the area of ∆WXY

area = \frac{1}{2}*w*x*sin(Y)

= \frac{1}{2}*16.5*31*sin(26)

= \frac{16.5*31*sin(26)}{2}

Area = 112.1 m^2 (to nearest tenth).

8 0
3 years ago
An area of 3.5m² is the same as 350000mm². True or false. Justify your answer
Vsevolod [243]

<em><u>No</u></em><em><u>,</u></em><em><u> </u></em><em><u>because</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>convert</u></em><em><u> </u></em><em><u>meter</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>millimeter</u></em><em><u> </u></em><em><u>you'll</u></em><em><u> </u></em><em><u>have</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>multiply the length value by 1000</u></em><em><u> </u></em><em><u>which</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>give</u></em><em><u> </u></em><em><u>you</u></em><em><u> </u></em><em><u>3</u></em><em><u>5</u></em><em><u>0</u></em><em><u>0</u></em><em><u>.</u></em>

<em><u>3.5</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>5</u></em><em><u>0</u></em><em><u>0</u></em><em><u>.</u></em>

<em><u>have</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>great</u></em><em><u> </u></em><em><u>day</u></em><em><u>!</u></em>

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Mitchell drew 56 pictures. Rafi drew p fewer pictures than Mitchell. Write an expression that shows how many pictures Rafi drew.
Angelina_Jolie [31]
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gizmo_the_mogwai [7]
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