The reciprocal of 6/5 is D. 5/6
Reciprocal simply means swapping the position of the numbers in the fraction. The numerator becomes the denominator and the denominator becomes the numerator.
We need to get reciprocal of a fraction when division is performed.
For example: 2 ÷ 1/5
2 may be a whole number but in fraction form it is 2/1.
1st fraction = 2/1
2nd fraction = 1/5
In dividing fractions, the 1st step we need to do is to get the reciprocal of the 2nd fraction.
1/5 ⇒ 5/1
Then, we multiply the 1st fraction to the reciprocal of the 2nd fraction.
2/1 * 5/1 = 10
So, 2 ÷ 1/5 = 10
Answer:
At 11:50
Step-by-step explanation:
1. Subtract the hours and the minutes separately
12: 20
<u>- 0</u>: <u> 30</u>
12: -10
2. If the minutes are negative, subtract 1 from the hours and add 60 to the minutes.
12: -10
<u> - 1</u>: <u>+ 60
</u>
11: 50
You should remind PJ about her deliveries at 11:50.
A) Scale factor:
Divide 2 congruent sides:
24 / 36 = 0.667
From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.
B) Volume = (1/2 x base x side) x height:
Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.
C) Find the height of the prism:
7776 = (1/2 * base * sides) x height
7776 = (1/2 x 36 x 48) * height
7776 = 864 * height
Height = 7776 / 864 = 9 inches.
The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.
Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.
Answer:
36
Step-by-step explanation:
b= √(c²-a²)
b= √(45²-27²)
b= √(2025-729)
b= √(1296)
b= 36
All angles add to 180 in a triangle. So 180 - 102 - 31 =47