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HACTEHA [7]
3 years ago
10

A parallelogram has a 70 degree angle and sides 6 cm and 10 cm long. How long are its diagonals?

Mathematics
1 answer:
Verdich [7]3 years ago
6 0
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm

The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.

Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
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Answer:

The equation of the Parallel line passes through the point (-1,4) is

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Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given the equation of the line y = -5 x + 2

Given point (-1 , 4 )

The equation of the parallel line of a given line is 5x + y +k=0 ...(i)

The equation (i) passes through the point (-1,4)

                 5(-1)+4+k=0

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                    -1 + k = 0

                         k = 1

<em>The equation of the Parallel line passes through the point (-1,4) is </em>

<em>    y = -5 x -1</em>

3 0
2 years ago
A large mixing tank initially contains 1000 gallons of water in which 30 pounds of salt have been dissolved. Another brine solut
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Answer:

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Step-by-step explanation:

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The resulting mixture is pumped out at the same rate, therefore:

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The rate of change of amount of salt in the tank,

\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A

5 0
3 years ago
Please explain how you got the answer also, thank you
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Answer:

See Explanation

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You are doing simple math within the square root. For instance where x=-2 you substitute -2 for x then add 2 which gives you 0 leaving you with -6.

for x=2 you end up with "square root 2+2" which gives you 4 and the square root of 4 is 2 so you add -6 to 2 giving you the answer of -4.

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