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Vedmedyk [2.9K]
3 years ago
11

-11=61-6q what is q solve the equation

Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

q=12

Step-by-step explanation:

-11=61-6q

-11-61 =-6q

-72=-6q

q=72/6

q=12

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Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L
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3 years ago
A right triangular prism is shown. Find (A) the total surface area and (B) the volume. You must show formulas and your work.
enyata [817]
Hello!

We are going to use the rectangular prism of the image as a guide:

First of all, the AC segment is calculated using the Pythagoras' theorem:

AC= \sqrt{ AB^{2}+ BC^{2} } =\sqrt{ 10^{2}+ 8^{2} }=12,81 m

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A=2*(1/2*b*h)=2*(1/2*8m*10m)=80m

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For the ACDE Rectangle

A=w*l=10,77m*12,81m=137,96 m^{2}

For the BCDF Rectangle 

A=w*l=10,77m*8m=86,16 m^{2}

To finish you need to sum up the areas of each face:

SA=2A_{ABC}+ A_{ABEF}+A_{ACDE}+A_{BCDF}= \\ 80 m^{2} +107,7m^{2} +137,96m^{2} +86,16m^{2} =411,82m^{2}

(B) The volume of a prism is the product of the area of its base and the height of the prism. In this case, the base is a triangle so the formula and the calculations for the volume are as follows

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7 0
3 years ago
at midnight the temperature in a city was 5 degrees celsius. The temperature was dropping at a steady rate of 2 degrees celsius
coldgirl [10]

Answer:

( 5 - 2t ) < - 4

Step-by-step explanation:

The midnight temperature is 5 °C and the temperature is decreasing at the rate of 2°C per hour.

If t is the hours past midnight then after t hours the temperature will be ( 5 - 2t ).

Now, if this temperature is colder than - 4° C, then the inequality can be written as   ( 5 - 2t ) < - 4 (Answer)

8 0
3 years ago
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