Response:
14 feet
Detailed explanation:
<pThere are 3 feet for each yard, resulting in a total of 36 feet in 12 yards. The leftover ribbon will equal the initial amount minus what has been utilized.
36 - 22 = 14.... feet left
Response:
Alan's survey aims to determine the art preferences among students at the local high school.
To conduct a thorough investigation, he needs to consider all students in the school as the target population since that is his goal.
Nevertheless, in many cases involving statistical studies, it's impractical to include the entire population. In such instances, a sample that accurately reflects the overall student body is employed.
This sample is a subset of the population and must share the same characteristics and attributes; otherwise, the findings may be skewed.
Thus, a feasible sample would consist of a specific number of students from each grade level, including freshmen, sophomores, juniors, and seniors. This approach ensures the sample accurately represents the larger population.
n equals 277
9 multiplied by 27 plus 2 multiplied by 31 minus 28 gives n
243 plus 62 minus 28 results in n
305 minus 28 equals n
which means 277 is n
Answer:
(a)
The distance from A to B to C equals 40 yards.
(b)
w is less than 40.
Step-by-step explanation:
The information provided states:
The distance from A to B is 15 yards.
Thus, AB is 15 yards.
The distance from B to C is 25 yards.
Therefore, BC is 25 yards.
(a)
The total distance from A to B to C is given by AB plus BC.
A to B to C = 15 + 25.
The total distance is 40 yards.
(b)
The direct distance from A to C (AC) must be shorter than the length of A to B to C.
AC is less than AB plus BC.
AC must be less than 15 + 25.
Thus, AC is less than 40 yards.
w is less than 40.
Answer:
qt's length = 16
Step-by-step explanation:
The problem states that qrs is a right triangle,
where qr = 20
sr =?
qs = 25
qt =?
1)
Calculate sr
hypotenuse² = base² + height²
sq² = sr² + rq²
25² - 20² = sr²
sr = √(25² - 20²)
sr = 15
2)
When altitude rt is dropped to hypotenuse qs, it creates
two right triangles: rtq and rts.
Δrtq
height = rt
base= tq = 25 - x
hypotenuse = qt = 20
Δrts
height = rt
base= ts = x
hypotenuse = sr = 15
Both triangles share the same height, which is rt
Using the Pythagorean theorem:
Δ rtq Δ rts
hypotenuse² - base² = height²
20² - (25 - x)² = 15² - x²
400 - (625 + x² - 50x) = 225 - x²
400 - 625 - x² + 50x = 225 - x²
-225 - x² + 50x - 225 + x² = 0
-450 + 50 x = 0
50x = 450
x = 450/50
x = 9
Base of Δ rtq = tq = 25 - x
tq = 25 - 9
tq = 16
