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bulgar [2K]
3 years ago
13

What is the unknown side length

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Answer:

x = 5

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
  • Subtraction Property of Equality

<u>Trigonometry</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 Variables</u>

Leg <em>a</em> = <em>x</em>

Leg <em>b</em> = 12

Hypotenuse <em>c</em> = 13

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

  1. Substitute in variables [Pythagorean Theorem]:                                          x² + 12² = 13²
  2. Evaluate exponents:                                                                                       x² + 144 = 169
  3. [Subtraction Property of Equality] Subtract 144 on both sides:                  x² = 25
  4. [Equality Property] Square root both sides:                                                  x = 5
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Jeremy invested $60,000 earning 6.5% simple interest. How much interest will he earn over 5 years?
const2013 [10]

Answer:

$19500

Step-by-step explanation:

Interest = PRT/100

Where

P = principal

R = rate

T = time

Given

P = $60000

R = 6.5%

T = 5 yrs

Interest = 60000 x 6.5 x 5 /100

Multiply through

1950000/100

19500

$19500

He will earn $19500 interest over 5 years

7 0
4 years ago
Yemi is 5 years older than kunle.The product of their ages is 750. How old is kunle.​
Alex

Answer:

Kunie is 25

Step-by-step explanation:

Let's make Yemi's age y, and Kunie's age k.

Because Yemi is 5 years older that Kunie, k + 5 = y.

Because the product of their ages is 750, k * y = 750.

With substitution, we can determine that k * (k + 5) = 750.

Then with distributive property we can simplify the equation to get k^2 + 5k = 750.

Then we bring all the terms to one side of the equation to get k^2 + 5k - 750 = 0.

Then with quadratics, we can factor the equation to get (k + 30)(k - 25)=0.

Thus, either k + 30 must equal 0, or k - 25 must equal 0.  Thus, k must equal 25 or -30, and because someone cannot be -30 years old, k = 25.

Then, because Yemi is 5 years older than Kunie, y = 30.

Hope it helps <3

3 0
3 years ago
Read 2 more answers
Simplify by combining like terms -4 + 5x - 17 - 22x
lana66690 [7]

Answer:

-4

Step-by-step explanation:

22x-5x=17

-17+-4=-21

4 0
3 years ago
Item 16
ANTONII [103]
40 if you truly really think about it

8 0
4 years ago
a recipe requires 2/3 cup of sugar to make one cake what is the maximum number of cakes that can be made using 4 1/2 cups of sug
labwork [276]

Answer:

6

Step-by-step explanation:

2/3, 1 1/3, 2, 2 2/3, 3 1/3, 4

6 0
3 years ago
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