Answer:
Step-by-step explanation:
<u>Use the law of cosines to find the side AB:</u>
<u>Use the Heron's area formula next:</u>
- , where s- semi perimeter
- s = 1/2[x + x + 3 + ) = 1/2 (2x + 3 + )
- s - a = 1/2 (2x + 3 + - 2x - 6) = 1/2 ( - 3)
- s - b = 1/2 (2x + 3 + - 2x) = 1/2 ( + 3)
- s - c = 1/2 (2x + 3 + - 2) = 1/2 (2x + 3 - )
<u>Now</u>
- (s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
- s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)
<u>Next</u>
- A² = 3/16(x² + 3x)(x² + 3x)
- 300 = 3/16(x² + 3x)²
- 1600 = (x² + 3x)²
- x² + 3x = 40
<u>Substitute this into the first equation:</u>
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Answer: (c)
Step-by-step explanation:
Given
The function is
Range of a function describes the values y can take
from the graph it is clear that the maximum value of y is 5
Hence. option (c) is correct.
Answer:
System of equations
160 = 2W + 2L
W = L - 16
Solution to system of equations
W = 32 ft
L = 48 ft
Explanation:
The width is 16 feet less than the length, so the appropriate equation for that is ...
... W = L - 16
Using this expression for W, we can substitute into the equation for perimeter:
... 160 = 2(L - 16) + 2L
... 160 = 4L -32 . . . . . . . collect terms
... 192 = 4L . . . . . . . . . . add 32
... 48 = L . . . . . . . . . . . . divide by 4
... W = 48 -16 = 32 . . . . find W using the relation with L
Length is 48 ft; width is 32 ft.
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Answer:
7%
Step-by-step explanation:
Given Data:
mean =$1000
standard deviation s = $370
number of employee n 80
weekly salary at most of $75
the value of z can be determined
z = 1.81
From standard table of z
P(z > 1.81) = 0.035
P(condition described) = 2*0.035 = 7%
Z DISTRIBUTION