Answer:
BC = 96
Step-by-step explanation:
Since AD is an altitude, then ∠ ADC = 90° , thus
4x + 10 = 90 ( subtract 10 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Thus
BC = BD + DC
= 2x + 3x - 4
= 5x - 4
= 5(20) - 4 = 100 - 4 = 96
If the number is a multiple of 8, it is divisible by 8.
The multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88... etc.
If a number is very big, let's say 176, see if you can deduct 80 from it. For this, 176 can be deducted by 80 twice, which will give you a remainder of 16 (I.e. 176 - 80 - 80 = 16". If this remainder (i.e. 16) is divisible by 8, 176 is divisible by 8.
For even larger numbers, try deducting 800, or even 8000.
Let's say you're trying to see if 2464 is divisible by 8. In this case, 2464 can be deducted by 800 thrice (I.e. 2464 - 800 - 800 - 800 = 64), and 64 is its remainder. Since 64 is divisible by 8, 2464 is divisible by 8.
Hope this helps! :)
The answer is the book is approximately 15.3 inches tall, and it will fit on the shelf, since 16 inches is greater than 15.3 inches.
Here's an explanation:
The problem has already said that the book shelf is 16 inches tall. It's given that the area of the front cover of a square book is 234 square inches. Since the book is square, the length of the book will be equal to the width of the book. So, the find the length of the book, you would find the square root of 234, since both sides would be the same, and you'd get an answer of approximately 15.3 inches. If the length of the book is 15.3 inches, then it would fit on the book shelf, since 15.3 inches is less than 16 inches.
