3 years ago

Find the area, to the nearest hundredth, of the figure

Mathematics

1 answer:

ehidna [41]3 years ago

5 0

Answer:

Step-by-step explanation:

hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi

area of triangle = 0.5×6×14.4 = 43.2 mi²

radius of semicircle = 15.6/2 = 7.8

area of semicircle = πr² = 60.84π mi²

total area = 43.2 + 60.84π ≅ 234.33 mi²

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Bob wants to leave a 12% tip for his meal. if the meal cost 36.55, how much is the bill including the tip?

LenKa [72]

Answer:

$40.94

Step-by-step explanation:

the tip is $4.39

total is $40.94

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3 years ago

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Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5

forsale [732]

Answer:

x=-4

Step-by-step explanation:

The given equation is

$3-2|0.5x+1.5|=2$

Subtract 3 from both sides.

$3-2|0.5x+1.5|-3=2-3$

$-2|0.5x+1.5|=-1$

Divide both sides by -2.

$\dfrac{-2|0.5x+1.5|}{-2}=\dfrac{-1}{-2}$

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If |x|=a, then x=a or x=-a.

$0.5x+1.5=\pm 0.5$

Case 1: $0.5x+1.5=0.5$

Subtract 1.5 from both sides.

$0.5x=0.5-1.5$

$0.5x=-1$

Divide both sides by 0.5.

$x=-2$

Case 2: $0.5x+1.5=-0.5$

Subtract 1.5 from both sides.

$0.5x=-0.5-1.5$

$0.5x=-2$

Divide both sides by 0.5.

$x=-4$

Therefore, one solution is x=-2 and other solution is x=-4.

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4 years ago

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Tatiana [17]

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3 years ago

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Bess [88]

Answer:

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5x + 2 + 2x - 10

Rearrange terms:

5x + 2x - 10 + 2

Combine like terms (add 2x and 5x):

= 7x - 10 + 2

Combine like terms (add -10 and 2):

= 7x - 8 (This is the simplified form).

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3 years ago

The equation of a line is y = mx + 2. What is the value of m (the slope) if the line passes through point A(−5, −18)?

Kitty [74]

We can input the point
remember that (x,y)
so we are given (-5,-18)
so when x=-5, y=-18
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divide both sides by -5
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answer is 2nd option

6 0

4 years ago