You need to use a ratio of height (H) to shadow length (L) to solve the first problem. It's basically a use of similar triangles, with two perpendicular sides, and with the shadow making the same angle with the vertical.
<span>6 ft = 72 ins, so that rH/L = 72/16 = 9/2 for the player. </span>
<span>So the bleachers are 9/2 x 6 ft = 27 ft. </span>
<span>For the second problem, 9 ft = 108 in, so that the ratio of the actual linear dimensions to the plan's linear dimensions are 9ft/(1/2in) = 2 x 108 = 216. </span>
<span>So the stage will have dimensions 216 times larger than 1.75" by 3". </span>
<span>That would be 31ft 6ins x 54ft. </span>
6*6=36/2=18*3=54+4=58. I hope this helped. :)
Answer:
5
Step-by-step explanation:
5 x 5 = 25
x x x x x
x x x x x
x x x x x
x x x x x
x x x x x
Answer: True
Explanation:
According to the rational zeros theorem, if x=a is a zero of the function f(x), then f(a) = 0.
Given: f(x) = x⁴ + x³ - 11x² - 9x + 18
From the calculator, obtain
f(5) = 448
f(4) = 126
f(3) = 0
f(2) = -20
f(1) = 0
f(0) = 18
f(-1) = 16
f(-2) = 0
f(-3) = 0
The polynomial is of degree 4, so it has at most 4 real zeros.
From the calculations, we found all 4 zeros as x = -3, -2, 1, and 3.
Therefore
f(x) = (x+3)(x+2)(x-1)(x-3).
For x>3, f(x)increases rapidly. Therefore there are no zeros for x>3.
The statement that x=5 is an upper bound for the zeros of f(x) is true.
1525 ➗ 2 = 762.5
762.50 x 10% is 76.25
762.50 - 76.25 = 686.25
one paycheck is 762.50
the other is 686.25
I hope this helps.
