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diamong [38]
3 years ago
6

Write the sentence as an equation. z plus 372 is equal to 160

Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0

Answer:

z+372=160

Step-by-step explanation:

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112.5 divided by 15 is 7.5
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Which of the expressions (on the photo document I inserted) together represent all solutions to the following equation?
Ipatiy [6.2K]

Answer:

x =15 + 30n

Step-by-step explanation:

8cos(12x)+4=-4

Subtract 4 from each side

8cos(12x)+4-4=-4-4

8cos(12x)=-8

Divide by 8

8/8cos(12x)=-8/8

cos(12x) = -1

Take the arccos on each side

arccos(cos(12x)) = arccos(-1)

12x = 180 degrees  

But we can go around in a circle of 360 and get the same result

12 x = 180+360n  where n is an integer

Divide each side by 12

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x =15 + 30n

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3 years ago
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VashaNatasha [74]

Answer:

The first five belong in the left most group of 1/6 =  1/3÷2

The sixth (right) one belongs in the middle group of 1/9 = 1/3÷3

Step-by-step explanation:

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3 years ago
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Over [174]

Answer:

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7/10 x 9/8 is 63/80

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3 years ago
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
3 years ago
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