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bezimeni [28]
3 years ago
15

A triangle has sides with lengths of 37 yards, 54 yards, and 62 yards. Is it a right triangle?

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer:

Step-by-step explanation:

Are the sides consistent with the Pythagorean theorem?

37² + 54² ≟ 62²

1369 + 2916 = 4285 ≠ 62²

Not a right triangle.

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Upper bound and lower bound of 17
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Answer:

Step-by-step explanation:

Hey there this si the upper and lower bound for 17

16.5<17<17.5

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2 years ago
If the family pays $25 what is the exact amount of change they should receive
Bingel [31]
What’s the full question? you only put part of it on here
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Just number 3 is fine please but if you could also 4​
PIT_PIT [208]

Answer:

3. r = -8

4. 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

Step-by-step explanation:

<u>Step 1: Define equation</u>

2(-5r + 2) = 84

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

  1. Divide 2 on both sides:                    -5r + 2 = 42
  2. Subtract 2 on both sides:                 -5r = 40
  3. Divide -5 on both sides:                    r = -8

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                   2(-5(-8) + 2) = 84
  2. Multiply:                             2(40 + 2) = 84
  3. Add:                                   2(42) = 84
  4. Multiply:                             84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

<u>Step 4: Define equation</u>

264 = -8(-8 + 5x)

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Divide both sides by -8:                    -33 = -8 + 5x
  2. Add 8 to both sides:                          -25 = 5x
  3. Divide 5 on both sides:                      -5 = x
  4. Rewrite:                                               x = -5

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in<em> x</em>:                    264 = -8(-8 + 5(-5))
  2. Multiply:                               264 = -8(-8 - 25)
  3. Subtract:                              264 = -8(-33)
  4. Multiply:                               264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

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Kadeem earns a salary of $1,800 per month plus a 10% commission on his sales. In order to save money for the down payment on a h
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Answer:

Sphere

Step-by-step explanation:

A sphere has no edges and therefore no corners. It has one curved face that goes all the way around. A square based pyramid, a triangular based pyramid and a cone have a point at the top.

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2 years ago
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