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grin007 [14]
3 years ago
12

Which statement describes whether a right triangle can be formed using one side length from each of these squares?

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer:

Step-by-step explanation:

The area of the given squares are

Area = 64 in

Area = 225 in

Area = 289 in

The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.

For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,

8² + 15² = 17²

289 = 289

Therefore, the correct statement is

Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square

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Two times a number is equal to the absolute value of the quantity "sixty-three less than five times that number." What could the
ANTONII [103]

Answer:

The number is 21.

Step-by-step explanation:

First you need to solve for n.

So the equation would be 2n = |5n-63|

First you'd subtract 5n from each side, that would give you -3n=|-63|

Then you need to divide each side by -3 to get n=21.

                       ~~~~~

To check, you can just plug 21 back into the equation.

2(21) = |5(21) - 63|

42 = |105-63|

42 = |42|

42 = 42

5 0
2 years ago
It takes half of a yard of ribbon to make a bow. How many bows
Ksenya-84 [330]
14 because you can make 2 bows with 1 yard and 7 x 2 is 14
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Type the correct answer in the box. express your answer to two significant figures. a reaction between 1.7 moles of zinc iodide
irga5000 [103]

The percent yield of zinc carbonate is 5.91%.

<h3>What is chemical reaction?</h3>

The chemical reaction is the reaction between two reactants which led to the formation of products.

The products are substances which forms after reaction. The reactants are the substances which are original materials.

Given is a reaction between 1.7 moles of zinc iodide and excess sodium carbonate yields 12.6 grams of zinc carbonate.

The given balanced equation is:  Na₂CO₃ + ZnI₂ → 2NaI + ZnCO₃

From given moles of zinc iodide, the moles of zinc carbonate

1.7 moles of ZnI₂ = 1.7 moles of ZnCO₃

Molar mass of zinc carbonate is 125.38 g/mol

Theoretical yield =  1.7 moles of ZnCO₃ x  125.38 g/mol = 213.15 g  ZnCO₃

Theoretical yield is 213.15 g and the actual yield is given as 12.6 g.

percent yield = [ 12.6 g / 213.15 g  ZnCO₃ ] x 100

percent yield = 5.91%

The percent yield of zinc carbonate is 5.91%.

Learn more about chemical reaction.

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2 years ago
Find the coordinates of the vertex
Wewaii [24]

Answer:

(2,8)

Step-by-step explanation:

4 0
3 years ago
Help pls haha also Merry Christmas
MArishka [77]

Answer:

x = √39

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

<u>Trigonometry</u>

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

Step-by-step explanation:

<u>Step 1: Identify</u>

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

Leg <em>b</em> = 5

Hypotenuse <em>c</em> = 8

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

  1. Substitute [PT]:                     x² + 5² = 8²
  2. Isolate <em>x</em> term:                       x² = 8² - 5²
  3. Exponents:                            x² = 64 - 25
  4. Subtract:                               x² = 39
  5. Isolate <em>x</em>:                               x = √39
3 0
3 years ago
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