Hello from MrBillDoesMath!
Answer:
1/243
Discussion:
3^(-3) * 3^(-2) => as a^m * a^n = a^(m+n), the exponents add
= 3^ (-3 -2)
= 3^ (-5) =
= 1/ 3^5 => as 3^5 = 243
= 1/243
which is approximately .0041
Thank you,
MrB
Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
Answer:
Weight gain = 84 lb 5 oz
Average weight gain = 6 lb 5 oz
Step-by-step explanation:
lb means pounds
16 oz = 1 pound
Convert the weight to pounds
Weight when she was born = 8 lb. 13 oz
= 8 pounds + 0.8125 pounds
= 8.8125 pounds
Present weight = 93 lb. 5
oz
= 93 pounds + 0.3125 pounds
= 93.3125 pounds
How much has she gained since birth
Weight gain = Present weight - Weight when she was born
= 93.3125 pounds - 8.8125 pounds
= 84.5 pounds
= 84 lb 5 oz
Weight gain = 84 lb 5 oz
what has been her average weight for each year if she is 13 year old
Average weight gain = Weight gain / 13
= 84.5 pounds / 13
= 6.5 pounds
= 6 lb 5 oz
Average weight gain = 6 lb 5 oz
Let x be the mystery number
25% = 0.25
So, 24/x = 0.25
Now, we have to rearrange the equation to get:
x = 24/0.25 = 96
Don't hesitate to ask any further questions!
Hope I helped! xx
