Answer:
the answer in the blank is 9
Step-by-step explanation:
It would take 11.7 seconds for the sheepdog to catch up with the collie.
To determine the number of seconds after which the sheepdog would catch up with the collie, knowing that the distance of the relay race is 51 feet, and the collie starts the course 0.3 second before the sheepdog, and the collie is running 23.4 feet per second, while the sheepdog is running 24 feet per second, the following calculation must be performed:
Therefore, it would take 11.7 seconds for the sheepdog to catch up with the collie.
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The length of the altitude of the equilateral triangle is 9 units.
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Use the sin angle ratio and calculate,
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2 x a = 6√3 x √3
2a = 6 x √(3 x 3)
2a = 6 x 3
a = 6 x 3/2
a = 3 x 3 = 9
Therefore, the length of the altitude of the equilateral triangle is 9 units.
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(1/2, 1)
(0, 1)
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Answer:
(1/2,1) is on the graph of
B is correct.
Step-by-step explanation:
Given:
We are given a log function whose base 1/2.
Log property:
If base and mantissa is same then their value is 1
We need to choose correct point from the options.
Option 1: (1,1/2)
False
Option 2: (1/2,1)
True
Option 3:
Log is not defined for x=0.
Hence, (1/2,1) is on the graph of
(1/2,1) is the points is on the graph of y = log1/2x?
For (1, 1/2):
So, By Substituting x = 1 and y = 1/2 into the equation, we get:
1/2 = log₁/₂(1)
Since log of 1 to any base is always 0, the equation becomes:
1/2 is not equal to 1
In terms of Option 3: Log is not defined for x=0.
Therefore , (1/2,1) is on the graph of y = log1/2x?
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Answer:
To solve for the problem above, let x be the regular price of the shoe.
1/2x is the one-half price of the shoe then we add 6 for the pair of socks,
1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.
Step-by-step explanation: