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saveliy_v [14]
3 years ago
12

What is the solution of the equation 2X = 7? Round your answer to the nearest ten-thousand.

Mathematics
1 answer:
Andru [333]3 years ago
4 0

Answer:

x =2.8074

Step-by-step explanation:

2^x = 7

Take the log of each side

log (2^x) = log (7)

We know  log a^b = b log a

x log 2 = log 7

x = log (7) / log 2

x =2.80735

To the nearest tenth thousandth

x =2.8074

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Answer:

29 ; 37

Step-by-step explanation:

The figure is composed by a square, a rectangle, and a right triangle

The perimeter of the square is 6 units

The perimeter of the rectangle is 10 units

The triangle is composed by a side of 6 units and a side of 5 units

The third side can be find with the Pythagorean theorem

\sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61} = 7,81025

The total perimeter is

6 + 10 + 5 + 7,81025 = 28,81025 = 29

Area of the square = 2^2 = 4 square units

Area of the rectangle = 6 x 3 = 18 square units

Area of the triangle =  (5 x 6)/2 = 15 square units

Total area = 4 + 18 + 15 = 37 square units

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