Answer:
24 hours
Step-by-step explanation:
One foot is 12 inches. 12÷1/2=24 so it will take 24 hours for the candle to burn down.
Answer:
60,120
Step-by-step explanation:
We know that angles on the same side of the transversal always add up to 180 ( are supplementary)
Hence, taking one of the angles as x we get,
x+(60+x)=180
2x+60=180
2x=120
x=60
Hence, one angle is 60 degrees while the other 120 degrees
Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
Step-by-step explanation:
24÷(45÷25)= 21
x=21
Hope this helped!