Answer:
10
Step-by-step explanation:
<h3>Calculating BC</h3><h3>BC = √2^2 + 11^2 </h3><h3>BC = √ 4+121</h3><h3>BC = √ 125 = 11.18</h3>
to find measure of angle C use sinerule
<h3>sinC/C = sinA/A</h3><h3>sinC/2= Sin90/11.18</h3><h3>SinC = 2×1/11.18</h3>
<h3>sinC = 2/11.18</h3><h3>sinC = (0.1788)</h3><h3>C = sin^-1(0.1788)</h3>
<h3>C = 10.305</h3><h3>C = 10 (approximately)</h3>
Point slope form
y - y1 = m(x - x1)
Plug in the given
slope = -4
Point ( 4, 1)
y - 1 = -4(x - 4)
y - 1 = -4x +16
add 1 to both sides
y = -4x + 17
Hope this helps!
First, we can factor this to make it easier to solve:
3(x^3 + 13x^2 + 13x + 9)
Now, we can use the rational root theorem like so:
List factors of 9:
1, 3, 9.
List factors of 1:
1
Because of this, we know our possible rational roots are:
+/-1, +/-3, +/-9
If none of these zeros fit using the remainder theorem, then we know our roots will be irrational.
Answer:
1. x = 2
2. b = 16, a = 32
3. d = 15, c = 90
4. s = 12, t = 71
5. The height of the flagpole is 10
6. The shadow of the tree is 18 feet long