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ch4aika [34]
3 years ago
11

Evaluate the expression

Mathematics
1 answer:
fgiga [73]3 years ago
4 0
Simplify the following:
2^3 (4×36/12 + 1/4)

4×36/12 = (4×36)/12:
2^3 ((4×36)/12 + 1/4)
2^3 = 2×2^2:
2×2^2 ((4×36)/12 + 1/4)
2^2 = 4:
2×4 ((4×36)/12 + 1/4)
2×4 = 8:
8 ((4×36)/12 + 1/4)
36/12 = (12×3)/12 = 3:
8 (4×3 + 1/4)
4×3 = 12:
8 (12 + 1/4)
Put 1/4 + 12 over the common denominator 4. 1/4 + 12 = 1/4 + (4×12)/4:
8 1/4 + (4×12)/4
4×12 = 48:
8 (1/4 + 48/4)
1/4 + 48/4 = (1 + 48)/4:
8 (1 + 48)/4
1 + 48 = 49:
8×49/4

8×49/4 = (8×49)/4:
(8×49)/4
8/4 = (4×2)/4 = 2:
2×49
2×49 = 98:
Answer: 98
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Answer:

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Step-by-step explanation:

Midpoint equation: (\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})

= (\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )

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n > 13

Step-by-step explanation:

n-8> 5=

Add 8 to both sides.

n > 5 + 8

Add 5 and 8 to get 13.

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6 0
2 years ago
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Professor Plum is standing 10 feet from a streetlamp. The light from the lamp is making his
skelet666 [1.2K]

Answer:

15.10 ft

Step-by-step explanation:

It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.

tan (theta) = opposite side / adjacent side

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3 years ago
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alexira [117]
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3 years ago
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Solve for A <br> HELP ASAP!!
Rasek [7]

Answer: ∠A=144°

Step-by-step explanation:

∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.

10x+24=6x+72          [subtract both sides by 6x]

4x+24=72                  [subtract both sides by 24]

4x=48                         [divide both sides by 4]

x=12

Now that we found x, we need to plug it into ∠A.

10(12)+24=120+24=144

We know that ∠A=144°.

6 0
2 years ago
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