9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
Answer:
250
Step-by-step explanation:
40%= 100
10%=25
100%= 250
The new width is 16.6666666667 inches, which can be rounded to 16.7.
Width: 5 ?
Height: 6 20
We know that based on the information provided, the new height is 20 inches.
So, in order to solve, you can cross multiply (5 x 20), which would be 100. Then
divide by 6, to get 16.6666666667 or 16.7.
The decimal place to the right of the tenths place is the hundredths place. The digit in that place is 9.
When the digit to the right of the place you're rounding to is more than 4, you increase the digit in the rounding place by 1.
Here, we have the hundredths digit is 9, which is more than 4, so we increase the tenths digit by 1. The rounded number is
... 56.4
_____
Another way to get there is to add 5 in the hundredths place (the place to the right of the one you're rounding to). When you do that, you get 56.448. Now, throw away all the digits to the right of the one you're rounding to. This leaves
... 56.4
_ _ _ _ _ _ _
The reason I show this last method is to deal with cases like rounding 56.978. By the first rule, you're increasing the digit 9 by 1, which might be confusing. (it requires a carry into the next digit, making 57.0.) If you add .05 to this number, you get 56.978 +.05 = 57.028. Now when you throw away the digits to the right of the tenths digit, you have 57.0.
