A. 6(k + s)
It's the distributive property.
To find what the value of the digit 8 is, we can start by moving from the right. In a number, the place value goes (from right to left) ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions and so on. Now we can find out what each of the numbers is.
Since 3 is the first, that means 3 is in the ones place.
Since 9 is second, that means that 9 is in the tens place.
Since 2 is third, that means that 2 is in the hundreds place.
Since 6 is fourth, that means that 6 is in the thousands place.
Now, we have 8. Since 8 is fifth, that means that 8 is in the ten-thousands place. But that's not the value of the eight. The value of the 8 would be it's place value (10,000) times 8. 10,000 * 8 = 80,000, so the value of the digit 8 in the number 686293 is 80,000.
56° and 34°
complementary angles sum to 90° thus
3x - 10 + 2x - 10 = 90
5x - 20 = 90
add 20 to both sides of the equation
5x = 90 + 20 = 110
divide both sides by 5
x = 
= 22
angle 2x - 10 = (2 × 22) - 10 = 44 - 10 = 34° and
angle 3x - 10 = (3 × 22) - 10 = 66 - 10 = 56°
For this case what you need to know is that the original volume of the cookie box is:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height.
We have then:
V = (w) * (l) * (h) = 48 in ^ 3
The volume of a similar box is:
V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
We rewrite:
V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
V = (w) * (l) * (h) * ((2/3) ^ 3)
V = 48 * ((2/3) ^ 3)
V = 14.22222222 in ^ 3
Answer:
the volume of a similar box that is smaller by a scale factor of 2/3 is:
V = 14.22222222 in ^ 3
