Answer:
51.32
Step-by-step explanation:
∠B = arcsin(b·sin(A)a)
= 0.67513 rad = 38.682° = 38°40'56"
∠C = 180° - A - B = 0.89566 rad = 51.318° = 51°19'4"
c = a·sin(C)sin(A) = 31.22499
Answer:
it's difficult
Step-by-step explanation:
i hope if i know it
Answer: 18x^2 + 48x - 50
Step-by-step explanation: In order to determine the area of the rectangle not covered by the turtle pond, we shall calculate the area of the square pond and subtract it from the area of the rectangle.
The area of the square is given as
Area = L x B, where A and B are of equal measurement (sides of a square)
Area = 8 x 8
Area = 64 ft^2
Next we calculate the area of the rectangle which is given as
Area = L x B, where L = 6X + 2 and W = 3X + 7
Area = (6X + 2) (3X +7)
Area = 18X^2 + 42X + 6X + 14
Area = 18X^2 + 48X + 14
We can now subtract the area of the square from the area of the rectangle
That is Area of the shaded region
= 18X^2 48X + 14 - 64
= 18X^2 + 48X - 50
Therefore, the area of the shaded region = 18X^2 + 48X - 50
<h3>
Answer: approximately 6.3 miles</h3>
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Explanation:
See the diagram below. The two given angles B = 105 and C = 20 are used to help find angle A
A+B+C = 180
A+105+20 = 180
A+125 = 180
A = 180-125
A = 55
Then we use the law of sines to find the side length c
sin(A)/a = sin(C)/c
sin(55)/15 = sin(20)/c
c*sin(55) = 15*sin(20) ... cross multiply
c = 15*sin(20)/sin(55) .... divided both sides by sin(55)
c = 6.26294249724791 .... value is approximate
c = 6.3 ....... rounding to one decimal place
Answer:
The correct answer is:
we cannot take an even root of a negative number in the real number system.
Explanation:
A rational exponent is another way of writing a root. The denominator of the rational exponent will be the root, and the numerator will be the power of the number under the root. If the denominator is even, this means we are taking an even root, such as square root, 4th root, etc.
If the base is negative, this means we want an even root of a negative number.
Any even root can be broken down into a series of square roots, done one after another.
However, we cannot take the square root of a negative number using real numbers; this is because a square root is a number multiplied by itself to get the answer; a negative times a negative is a positive, as is a positive times a positive, so there is no way to multiply the same number twice and get a negative.
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Step-by-step explanation: