Answer:
15.43 ft
Step-by-step explanation:
To solve this question, one should use the concept of similar triangles.
The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:


The distance of the top of the pole to the ground is 15.43 ft.
Answer:
3l= c
Step-by-step explanation:
as use 3 cup of cranberry juice, lemonade will be used 1 cup.
Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:

We can divide by -16, nothing will happen because 0 divided by anything is 0:

To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":

So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:

Both answers would be valid, but there can't be negative time, so your answer is
"It takes 9 seconds for the rock to reach the water."
Answer:
C)
f(–3) = 9
Step-by-step explanation:
Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45
f(-3) means let x = -3
f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45
=4(81) +5(-27) -15(9) -45
= 324 - 135 - 135 -45
=9
The first inequality, y + 2x > 3, is y>-2x+3 in slope-intercept form.
The first inequality, y + 2x > 3, has a dashed boundary line.
The second inequality, y 3.5x − 5, has a solid <span>boundary line.
</span>Both inequalities have a solution set that is shaded above <span>their boundary lines.
</span>1, 5 <span>is a point in the solution set of the system of inequalities.
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