Answer:
b,c,e
Step-by-step explanation:
Answer:
15 inches
Step-by-step explanation:
The perimeter of a polygon is the sum of the lengths of its sides. A square has 4 sides, all the same length. We can either add up the side lengths, or we can recognize that multiplication of one side's length by 4 is a useful alternative.
perimeter = 4 × (3 3/4 in)
= (4×3 +4×3/4) in
= 12 in + 3 in = 15 in
9514 1404 393
Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
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<em>Additional comment</em>
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
Answer:
independent quantitative.
Step-by-step explanation:
An indepentent variable in an investigation, is the variable that will be changed in order to know how its variation affects the dependent variable.
In this case, the dependent variable is the test scores since Dr Washington will study there is the numeber of hours of study affects the grade the students obtain.
Therefore, the hours of study are the independent variable.
It is also a quantitative variable since it can be counted.
Answer:
About 8.6
Step-by-step explanation:
d=(x2-x1)^2+(y2-y1)^2
8=x1 8=y1 3=x2 1=y2
(3-8)^2+(1-8)^2
(-5)^2+(-7)^2
25+49
74
take the square root and you get about 8.6
