Answer/Step-by-step explanation:
1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft
Thus:
4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718
Open the Parentheses
4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718
Combine like terms
42x - 2 = 1,718
42x = 1,718 + 2
42x = 1,720
x ≈ 41
2. Missing perimeter of Building = 2x + 2x + 4x - 6
Simplify
= 8x - 6
Plug in the value of x
= 8(41) - 6
= 322 ft
3. Area of English Building = length * width
= (4x - 6 + 2x)(3x)
Simplify
= (6x - 6)(3x)
Plug in the value of x
= (6(41) - 6)(3(41))
= (246 - 6)(123)
= (240)(123)
= 29,520 ft²
Answer:
The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38
Step-by-step explanation:
The equation of the normal to the curve is
Y- y1 = - 1/m (x- x1)
Where m is the gradient.
See attached picture for the complete solution.
Answer:
the answer is b
Step-by-step explanation:
Answer:
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx + c, where m is the slope and c is the y-intercept of the line.
Now, we know that if two straight lines are perpendicular to each other then the product of their slopes will be -1.
So, the equation of a straight line which is perpendicular to the line 
will be 
....... (1), where c' is constant.
Given that the line (1) passes through (2,4) point.
Hence, 
⇒ c' = 1.
Therefore, the final equation of the required straight line is . (Answer)
The missing data value according to the given z-score is <u>39</u>.
We can determine how distant a data point is from the mean using its z-score. It is a crucial subject in statistics. Z-scores are a way to compare data to a population that is considered "normal." When attempting to compare someone's weight to that of the "average" person, for instance, it might be intimidating to look at a large table of data even though we know they weigh 70 kg. A z-score offers us an indication of how that person's weight compares to the mean weight of the general population. We shall discover what the z score is in this post.
The z score is a measurement of how many standard deviations a raw score is below or above the population mean. If the value is higher than the mean, it will be positive; if it is lower, it will be negative. The standard score is another name for it. It shows how far away from the mean an object is, in terms of standard deviations. The mean and population standard deviation must be known to apply a z-score. The likelihood of a score happening inside a typical normal distribution may be calculated with the use of a z score. We may also compare two scores from other samples thanks to it. A z score table is a table that contains the values of, which represent the cumulative distribution function of the normal distribution.
The equation is given by z = (x – μ)/ σ.
μ = mean
σ = standard deviation
x = test value.
In the question, z = -2.1, μ = 43, and σ = 2.
Substituting the values, we get:
-2.1 = (x - 43)/2,
or, x - 43 = -2.1*2,
or, x = -4.2 + 43,
or, x = 38.8 ≈ 39.
Thus, the missing data value according to the given z-score is <u>39</u>.
Learn more about z-scores at
brainly.com/question/10679480
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