Answer:
8 inches
Step-by-step explanation:
The area of a triangle is ...
A = 1/2bh
Filling in the given values, we have ...
24 = 1/2b(6)
24/3 = b = 8 . . . . . divide by the coefficient of b
The base of each triangular quilt piece is 8 inches long.
Answer:
y = 13
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (6, y)
d = 
, that is
d = 
= 10
= 10 ← square both sides
64 + (y - 7)² = 100 ( subtract 64 from both sides )
(y - 7)² = 36 ← take the square root of both sides
y - 7 = 6 ( add 7 to both sides )
y = 13
Answer:
x=1/3
Step-by-step explanation:
9x+5-3=5
9x=3
x=1/3
The answer is between $175 and $295. The standard deviation rule tells us that for distributions that have the normal shape, approximately 99.7% of the observations fall within 3 standard deviations of the mean. Indeed, 175 = 235 − 3 * 20 and 295 = 235 + 3 * 20 are exactly 3 standard deviations below and above the mean, respectively.
