Answer:
h = (10 ft)(1.428) = 14.28 ft
Step-by-step explanation:
Represent the height of the nest by h. This is the vertical side of a triangle. The horizontal side is 10 ft.
The following relationship is true:
tan 55 degrees = (opposite side) / (adjacent side), and in this case,
tan 55 degrees = h / 10 ft, so that:
h = height of nest = (10 ft)(tan 55 degrees), or
h = (10 ft)(1.428) = 14.28 ft
Answer:
31°
Step-by-step explanation:
missing angle= 90-59= 31°
(90 because there is a square which represents 90 degrees)
hope it helps ☺️
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is equal to 0)
<u>1) Determine the slope (m)</u>
where two points that the line passes through are 
and 
We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.
Plug these points into the equation
Therefore, the slope of the line is 3. Plug this into
<u>2) Determine the y-intercept (b)</u>
The y-intercept is given; it is 4. Plug this back into
I hope this helps!
16x^2 − 8x + 1 = 0
<span>Part A:
</span>b^2 - 4ac for ax^2 + bx + c
16x^2 − 8x + 1 = 0
so in this case,
a = 16, b = -8, c = 1
b^2 - 4ac
=(-8)^2 - (4 * 16* 1)
= 64 - 64
= 0
because it's equal 0, answer is one solution
Part B:
<span>4x^2 − 8x − 45 = 0
</span><span>solve the equation by factoring </span>
= (2x - 9)(2x + 5)
set (2x - 9)(2x + 5) equal to 0 to solve for x
so
(2x - 9)(2x + 5) = 0
2x - 9 = 0
x = 9/2
x = 4.5
2x + 5 = 0
x = -5/2
x = -2.5
answer
x = -2.5 or x = 4.5
Hope it helps
