Cindy is 72 inches long. Imagine it like a right triangle. Her shadow is the base, she is the side, and the distance between her head and the end of the shadow is the diagonal line connecting the two. Use the Pythagorean theorem to find how tall cindy is.
a²+b²=c² a=21, the length of the shadow
b= ? cindy's height
c= 75, the distance from her head to the edge of the shadow
21²+ b²=75²
441 +b² = 5625
-441 -441
------ -------
0 5184
b² = 5184
√b² =√5184
b= 72
hope it helps
The five number summary data for the data-set is:
<h3>What is the five number summary of a data-set?</h3>
The five number summary of a data-set is composed by:
- The smallest and the greatest value.
- The first quartile, which is the median of the bottom 50%.
- The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.
- The third quartile, which is the median of the upper 50%.
For this problem, we have that:
- The smallest value is of 0.
- The greatest value is of 11.
The data-set has 10 elements, which is an even cardinality, hence the median is the <u>mean of the 5th and the 6th elements</u>, hence:
Me = (5 + 5)/2 = 5.
The first half of the data-set is:
0, 2, 2, 4.
Hence the first quartile is:
Q1 = (2 + 2)/2 = 2.
The second half of the data-set is:
5,5,7,11.
Hence the third quartile is:
Q3 = (5 + 7)/2 = 6.
More can be learned about the five number summary data of a data-set at brainly.com/question/17110151
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You need to find how many times 5 fits into 75 5x12=60 5x13=65 5x14=70 5x15=75. so, 5 fits in to 75 fifteen times. that means Susan makes $15 a day for 5 days. 5x15=75
(x+7, y-3)
To move from the theater to Sam you would move right 7 units and down 3 units.
Answers:
- Problem 1) 40 degrees
- Problem 2) 84 degrees
- Problem 3) 110 degrees
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Explanation:
For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.
For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.
Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.
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For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.
This all means that angle DEF is a right angle and 90 degrees.
So,
(angle DEP) + (angle PEF) = angle DEF
(angle DEP) + (35) = 90
angle DEP = 90 - 35
angle DEP = 55
The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.
