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Ann [662]
2 years ago
9

Find the length of the missing side.

Mathematics
1 answer:
brilliants [131]2 years ago
5 0

Answer:

x = 10

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Geometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Identify</u>

Leg <em>a</em> = 8

Leg <em>b</em> = 6

Hypotenuse <em>c</em> = <em>x</em>

<em />

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

  1. Substitute [PT]:                    8² + 6² = x²
  2. Exponents:                          64 + 36 = x²
  3. Add:                                     100 = x²
  4. Isolate <em>x</em>:                              10 = x
  5. Rewrite:                                x = 10
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Answer:

7\sqrt{2}

Step-by-step explanation:

\sqrt{98} = 7\sqrt{2}

5 0
3 years ago
The dimensions of a rectangle are such that its length is 3 in more than its width if the length were doubled and if the width w
emmasim [6.3K]

Length (L): w + 3            ⇒2(w + 3)

width (w): w                    ⇒ w - 1

Area (A) = L x w

         A = (w + 3)(w)

         A = w² + 3w

*******************************************

       A + 176 = 2(w + 3)(w - 1)

(w² + 3w) + 176 = 2(w + 3)(w - 1)

w² + 3w + 176 = 2w² + 4w - 6

        3w + 176 = w² + 4w - 6

                 176 = w² + w - 6          

                   0 = w² + w - 182

                   0 = (w - 13) (w + 14)

0 = w - 13            0 = w + 14

w = 13                  w = -14

Since width cannot be negative, disregard -14

w = 13

Length (L): w + 3   = (13) + 3   = 16

Answer: width = 13 in, length = 16 in

7 0
3 years ago
A telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members.
enot [183]

Answer:

450 x (1 + 0.5) ^ X = Phone subscribers

Step-by-step explanation:

Since a telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members, and the company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan, to determine the number of phone subscribers x months after the plan was launched, the following function must be considered and solved:

450 x (1 + 0.5) ^ X = Phone subscribers

So, for example, in 3 months, the number of subscribers would be the following:

450 x (1 + 0.5) ^ 3 = 1,518.75

Thus, in 3 months, the company would have 1,518 subscribers.

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3 years ago
Does anyone know the answer to this?
FrozenT [24]

Answer:

B

Step-by-step explanation:

X is the domain.

The function comes from -∞ and goes to ∞

So B is the answer.

7 0
3 years ago
Carl is wondering if the train he is riding home from school will leave early, on time, or late. The probabilities are
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Answer:

[train leaves early] ---- [train leaves on time]------[train leaves late]

Step-by-step explanation:

5 0
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