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SOVA2 [1]
3 years ago
7

This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so th

at it is circumscribed about the candy
bar. If AD = 3 cm, what is the smallest diameter of wrapper that will fit the candy bar? 3cm 4cm 5cm
or 6cm

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

The smallest diameter of wrapper that will fit the candy bar is 6 cm

Step-by-step explanation:

The smallest diameter of the wrapper will have to be the length of the line AC.

We can observe that there are two similar triangles present in the shape there.

We have triangle ADE and triangle DCF

They are similar because their left side, base length, and right angle are equal.

We are given the length of the side AD for triangle ADE.

From the rules of similar triangles, we have that side DC will also equal 3 cm. because the two triangles are similar.

Hence AC will be 3cm + 3cm = 6 cm

The smallest diameter of wrapper that will fit the candy bar is 6 cm

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2. m <A = 34 degrees
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6 ( x - 1 ) = 9( x - 4 ) solve for x<br>I'm giving points pls answer fast<br>​
Alex

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

Step-by-step explanation:

<u>Step 1: Define</u>

6(x - 1) = 9(x - 4)

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

  1. Distribute:                                   6x - 6 = 9x - 36
  2. Subtract 6x on both sides:        -6 = 3x - 36
  3. Isolate <em>x</em> term:                             30 = 3x
  4. Isolate <em>x</em>:                                      10 = x
  5. Rewrite:                                       x = 10

<u>Step 3: Check</u>

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

  1. Substitute in <em>x</em>:                    6(10 - 1) = 9(10 - 4)
  2. Subtract:                              6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.

6 0
2 years ago
Please help me I will crown
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Answer:

B or D would be the best options for this question

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Find the value of f(12) if f(x)=-2x+4
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Answer:

f(12) = - 20

Step-by-step explanation:

To evaluate f(12), substitute x = 12 into f(x), that is

f(12) = - 2(12) + 4 = - 24 + 4 = - 20

5 0
3 years ago
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