Answer:
330yd^3
Step-by-step explanation:
multiply all of them
The vertical angles are congruent (or equal) so,
32 = 2x
2x = 32
2x/2 = 32/2 ..... dividing both sides by 2
x = 16 which is the answer
A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:
<u>___________12 inches_______</u>
7 |
i |
n |
Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.
The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.
Let S = the length of the side from corner to corner
S² = 12² + 7²
S² = 144 + 49
S² = 193
S = √193 or -√193
Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193
S = √193 = 13.8924439894
S = 18.92 (rounded to two places)
Thus, Reggie will cut 18.92 inches of paper.
Answer:
To give more clarity to the question, lets examine the attached back-to-back stem plot.
A)
Having examined the stem plot, we can using quick calculations, summarize that:
The mean (40.45 cal/kg) and median (41 cal/kg) daily caloric intake of ninth-grade students in the rural school is higher than the corresponding measures of center, mean (32.6 cal/kg) and median (32 cal/kg), for ninth-graders in the urban school.
The median and the mean for the students in the 9th grade in the urban school is lower than that of those of their contemporaries in the rural school. The respective medians and means are stated below:
Urban 9th Grade Students
Median = 32 cal/kg
Mean = 36 cal/kg
Rural 9th Grade Students
Median = 41 cal/kg
Mean = 41 cal/kg
Please note that all figures above have been approximated to the nearest whole number.
B)
It is unreasonable to generalize the findings of this study to all rural and urban 9th-grade students in the United States because the sample is too small compared to the target population size.
To allow for generalization, they would have to collect and analyze more samples say from every state within America.
Cheers!