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gulaghasi [49]
4 years ago
9

A square has sides that are 80 ft long. Which equations can be used to calculate d the length of a diagonal of the square in fee

t

Mathematics
1 answer:
LenKa [72]4 years ago
7 0
Notice the picture below

just use the pythagorean theorem to ge the diagonal

\bf c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}

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Use the law of sines to find the value of w.
Lunna [17]

Option B: 4.0 cm is the value of w

Explanation:

It is given that \angle W= 39, \angle U=31, VW=3.3 and UV=w

Using the law of sines, we have,

\frac{sin U}{3.3} =\frac{sin W}{w}

Substituting the values, we have,

\frac{\sin 31}{3.3}=\frac{\sin 39}{w}

Cross multiplying, we get,

(sin31) w=3.3( \sin 39)

Simplifying, we have,

0.515w=2.077

Dividing both sides by 0.515, we have,

w=4.0

Thus, the value of w is 4.0 cm

Hence, Option B is the correct answer.

4 0
3 years ago
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What is the distance between the points (21 , 13) and (3 , 13) in the coordinate plane?
Oxana [17]

Answer:

\displaystyle d = 18

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (21, 13)

Point (3, 13)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(3-21)^2+(13-13)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(-18)^2+(0)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{324+0}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{324}
  5. [√Radical] Evaluate:                                                                                          \displaystyle d = 18
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aliya0001 [1]
Answer:

t = 2 , t = 4

Explanation:

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