Answer:
$87,461
Step-by-step explanation:
Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft
where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.
S = (119 + 147 + 190) / 2 = 456/ 2 = 228
Using Heron's formula which gives the area in terms of the three sides of the triangle
= √s(s – a)(s – b)(s – c)
Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)
=> √228 (109)(81)(38)
= √228(335502)
=√76494456
= 8746.1109071 * $10
= 87461.109071
≈$87,461
Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.
Answer: option D) An = 3an - 9a
Justification:
1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):
2)
Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a
Therefore, it is an arithmetic sequence with difference d = 3a.
3) the general rule for the nth term of an arithmetic sequence is given by the formula:
An = Ao + d (n - 1)
Where Ao = -6a and d, as determined above, is 3a
=> An = -6a + 3a (n - 1)
Expand the parenthesis (distributive property) =>
An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
Simplif 1/2t to t/2
t/2 + 8 = 5/2t - 10
Simplify 5/2t to 5t/2
t/2 + 8 = 5t/2 - 10
Multiply both sides by 2
t + 16 = 5t - 20
Subtract t from both sides
16 = 5t - 20 - t
Simplify 5t - 20 - t to 4t - 20
16 = 4t - 20
Add 20 to both sides
16 + 20 = 4t
Simplify 16 + 20 to 36
36 = 4t
Divide both sides by 4
36/4 = t
Simplify 36/4 to 9
9 = t
Switch sides
<u>t = 9</u>
The answer is B) y ≤ x + 1 and y > x - 3 . The graph shows TWO types of lines, a less than or equal to, and a greater than. B is the only answer with both of these lines.
