<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The slope of a line given two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-2,3) and B(-12,6)
The slope is

We have the final answer as

Hope this helps you
See in the explanation
<h2>
Explanation:</h2>
We can write the Slope-Intercept form of the equation of a line as:

The slope is a measure of the steepness of a line It is a ratio between vertical change (run) and horizontal change (rise), so we can also write the slope (m) as:

We have the following facts:
- If we increase the rise, the slope also increases and if we decrease the rise the slope also decreases.
- If we increase the run, the slope decreases and if we decrease the rise the slope increases.
<h2 /><h2>Learn more:</h2>
Slope of tangent to curves: brainly.com/question/12383276
#LearnWithBrainly
Answer is 128. 90-38=52 52+180= 232. 360-232=128. I hope this helps
Answer:
0.4996
Step-by-step explanation:
We are given;
Population proportion; p = 14% = 0.14
Sample size; n = 804
Sample proportion; p^ = 13% = 0.13
Standard deviation; σ = √np(1 - p)
σ = √(804 × 0.14 × (1 - 0.14))
σ = 9.8388
Formula for z-score is;
z = (p^ - p)/σ
z = (0.13 - 0.14)/9.8388
z = -0.01/9.8388
z = -0.001
From online z-score and probability converter attached, we have;
P(Z < -0.001) = 0.4996