Assuming it forms a right triangle with the side of the building, you could just use the Pythagorean Theorem to find the height. The ladder would be the hypotenuse, so you would substitute that as c into the equation. The 4 feet could be either a or b; it doesn't really matter. Plug it into (a^2)+(b^2)=(c^2), and you would get. (4^2)+(b^2)=(14^2); simplified, it is (16)+(b^2)=(196). Subtract 16 from 196 to get 180, and you see that (b^2) is equal to 180. Just take the square root of that to get your answer, which would be 6 sqrt5.
Alright, to get 1% of his unpaid balance, we can make 1% = 0.01 by moving the decimal place 2 places over. Multiplying 0.01 by 2365 gets 1% of your unpaid balance=23.65. Since we have to add 15 as a base value, we have
15+23.65=38.65
The similarity transformation is a dilation with a scale factor less than 1 and then a reflection
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a scale factor.
Polygon ABCD is larger than polygon A'B'C'D' and is reflected across the y-axis to form polygon A'B'C'D'
The similarity transformation is a dilation with a scale factor less than 1 and then a reflection
Find out more on transformation at: brainly.com/question/4289712
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Substitute values and isolate v.
v^2 = u^2 + 2as
v^2 = 8^2 + 2(3)(19)
v^2 = 64 + 114
v^2 = 178
v = √178
v = about 13.3
Since the velocity isn’t exactly 13m/s, it cannot be A, so the correct answer is C.
A) First, we convert from percentiles to z-score using a z-table or graphing calculator. The z-table tells us that a z-score of about -0.64 is at the 26th percentile. Then, we convert from z-score to chips using the formula z = (x - mean)/standard deviation. -0.64 = (x - 1261)/117, so x = 1186.12, or about 1186 chips.
b) To find the percentage distance from the mean to one side of the distribution, we divide 97 by 2 to get 48.5. This means that 48.5% above and below the mean is the same as the middle 97%. To find the number of chocolate chips in the bag, we have to find number of chocolate chips in the 98.5th percentile (98.5 is found by adding 48.5 to 50) and the number of chocolate chips in the 1.5th percentile (1.5 is found by subtracting 48.5 from 50). We use a z-table to see that a z-score of about -2.17 is at the 1.5th percentile and a z-score of about 2.17 is at the 98.5th percentile. We convert -2.17 to chips using -2.17 = (x - 1261)/117, and x = 1007.11, or 1007 chips. We convert 2.17 to chips using 2.17 = (x - 1261)/117, and x = 1514.89, or 1515 chips. So a bag containing 1007 to 1515 chips makes the middle 97% of bags.
c) This question is similar to the previous question because it is basically asking you for the middle 50% of bags. The main difference is that we have to subtract the two values in this question to get one number. We divide 50 by 2 to find that 25% of the data falls above and below the mean. So, we need to find the value at the 25th percentile (50-25) and the 75th percentile (50+25). The z-table tells us that a z-score of about -0.67 is at the 25th percentile, and a z-score of about 0.67 is at the 75th percentile. Using the z-score formula, we find that a z-score of -0.67 is equivalent to 1,182.61 and a z-score of 0.67 is equivalent to 1339.39. The interquartile range = 1339.39-1182.61 = 156.78.
