Answer:

General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Cross-multiply:

- Distribute 0.35:

- Multiply:

- Isolate <em>x</em> term:

- Isolate <em>x</em>:

- Rewrite:

<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute:

- Multiply:

- Subtract:

- Evaluate:

Answer: B has greater spread than A.
Step-by-step explanation:
Since we have given that
Set A: {38, 12, 23, 48, 55, 16, 18}
Range of A = Highest - Lowest
Range of A = 55 - 12
Range of A = 43
Set B:{44, 13, 24, 12, 56}
Range of B = Highest - Lowest
Range of B = 56 - 12
Range of B = 44
Since Range of B is more than range of A.
Hence, B has greater spread than A.
Answer:
By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2
Step-by-step explanation:
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1: 4.5 ft by 6 ft
2: 27 sq. ft.
First, just multiply 3 and 4 by 1.5 to convert inches to feet using the scale. You end up with 3*1.5 and 4*1.5, which equals 4.5 and 6. So the dimensions are 4.5 feet by 6 feet.
Now, just multiply 4.5 by 6 to get 27 square feet.
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Answer:
Step-by-step explanation:
because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A
so the first choice is out.
use the law of cosines to find b
= 
=1681+400-1326.787871
= 754.21219
b= 
b= 27.46292
so the last choice looks good