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sasho [114]
3 years ago
13

Add. 4 5/8 + 2 1/4 =?

Mathematics
2 answers:
Ivan3 years ago
8 0

Answer:

  6 7/8

Step-by-step explanation:

Take a quick look at those fractions.  The LCD here is 8.  We'll leave 4 5/8 as is, but change 2 1/4 to 2 2/8.

Now we'll add together:

 4 5/8

+ 2 2/8

-----------

  6 7/8

Dmitriy789 [7]3 years ago
6 0

6 \frac{7}{8}.

The easiest way to solve this problem is to sum the whole number and the fractions separately.

4\frac{5}{8} + 2\frac{1}{4}\\\\4\frac{5}{8} + 2 \frac{1}{4}(\frac{2}{2})\\\\4\frac{5}{8} + 2\frac{2}{8}

Solving the sum:

4\frac{5}{8} + 2\frac{2}{8} = 6 \frac{7}{8}

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Megan has a piece of fabric which is a right triangular shape. The length of leg 1 is 4 m. The length of the other leg is twice
Bess [88]

Answer:

8.94 m

Step-by-step explanation:

Use the Pythagorean Theorum - a^2 + b^2 = c^2. Use leg 1 as <em>a</em>, leg 2 as <em>b</em>, and the third side as <em>c</em>.

We know leg 1 is 4, and that leg 2 is twice as long as leg 1...

(4)^2 + (4*2)^2 = c^2

Now, we use the Order of Operations to find c^2...

4^2+8^2=c^2\\16+64=c^2\\80=c^2

Now, we find the square root of c^2 to find c...

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8 0
3 years ago
Find the Length of AC. Round answers to the nearest hundredth (2 decimal places)
lara31 [8.8K]

Answer:

32.78

Step-by-step explanation:

Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.

Let's find a and b.

Finding a:

Reference angle = 30°

Opp = 12 ft

Adj = a

Using trigonometric ratio formula, we have:

tan(30) = 12/a

Multiply both sides by a

a*tan(30) = 12

Divide both sides by tan(30)

a = 12/tan(30)

a = 20.78 (nearest hundredth)

Finding b:

Reference angle = 45°

Opp = 12 ft

Adj = b

Using trigonometric ratio formula, we have:

tan(45) = 12/b

Multiply both sides by a

b*tan(45) = 12

Divide both sides by tan(45)

b = 12/tan(45)

a = 12

Length of AC = 20.78 + 12 = 32.78

5 0
3 years ago
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AlekseyPX

Answer:

5/7

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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