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mrs_skeptik [129]
1 year ago
10

Find the surface area of this prism 3cm 7cm 5cm

Mathematics
1 answer:
k0ka [10]1 year ago
8 0

Answer:

105cm

Step-by-step explanation:

please click crown below my answer.

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Each blank on the coordinate plane has an address called the blank,blank
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My phone rang exactly midway between 10:53 AM one day and 1:05 PM the next day. What time did it ring?
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Step-by-step explanation:

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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


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2 years ago
Out of every 1000 packages received by a merchant, three are damaged. In a day, the merchant received 600 damaged packages. How
lukranit [14]

Answer:

1.8 undamaged packages

Step-by-step explanation:

3/1000 x 600

Multiply

1.8

8 0
3 years ago
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