Answer:
0, 3 , 8
Step-by-step explanation:
substitute n = 1, 2, 3 into the pattern rule
T₁ = 1² - 1 = 1 - 1 = 0
T₂ = 2² - 1 = 4 - 1 = 3
T₃ = 3² - 1 = 9 - 1 = 8
Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
Answer:
V= 120
Step-by-step explanation:
due to the formula, V=1/3 * S * H = 1/3 * (9*4) * 10= 1/3*360= 360/3= 120
164x + 24(2x) < = 4240
164x + 48x < = 4240
212x < = 4240
x < = 4240/212
x < = 20
for a dog.....2x = 2 * 20 = 40.....so it costs 40 per dog and 20 per cat
This is a proportion problem because the problem stated that the two team pennants are similar.
Pennant 1 = base = 18 in ; length = 9 inches
Pennant 2 = base = 6 in ; length = x ?
9/18 = x/6
9*6 = 18x
54 = 18x
54/18 = x
3 = x
The length of the side of the smaller pennant is 3 inches.
