Answer:
(5³)⁹/5¹² = 1
Step-by-step explanation:
(5³)⁹/5¹²
Add the exponents
5¹²/5¹²
Divide
1
Answer:
x = <u>16</u> units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
Answer:
11, 12, 13
Step-by-step explanation:
x is the first number
(x + 1) is the second number
(x + 2) is the third number
x + x+1 + x+2 = 36
3x + 3 = 36
3x = 36 - 3
3x = 33
x = 11 ← the first number
the second number = x + 1 = 11 + 1 = 12
the third number = x + 2 = 11 + 2 = 13
Answer:
24 drinks
Step-by-step explanation:
Multiply the number of packages of drinks (3) times the number of drinks in each pack (8)
3*8=24
Step-by-step explanation:
From the given table it is obvious that 162 is the largest number of the given numbers which corresponds to 45° angle.
So, he should kick the football at 45° angle for maximum distance.