Answer:
94.2
Step-by-step explanation:
Arc length is basically circumference.
Circumference formula: 2πr
All we need is the radius.
Radius = r
15 x 2 = 30 (diameter)
Then we are going to multiply by pi.
Arc length = 30π OR 94.2
A)
Earlier, The length of the angelfish = 
inches
Now, the length of angelfish = 
inches
We have to determine the grown length of angelfish
= -
= 
LCM of '2' and '3' is '6',
= 
= 
inch
Therefore, the angelfish has grown by inch.
B)
We have to determine the increased length of angelfish in feet.
Since 
foot
So, 
= 0.069 foot.
We can solve this two different ways. I'll do both, and you choose which one makes the most sense:
We can divide the fraction 3/4 by 12. remember, when we divide fractions, we flip the second fraction and change the sign to multiplication:
3/4 ÷12 [starting equation]
3/4 x 1/12 [flip and change sign]
3/48 [now reduce]
1/16 Each step takes 1/16 of an hour.
1/16 x 60 = 3 3/4, or 3.75 minutes
Second way:
3/4 of an hour is 3/4 of 60...45 minutes.
Still, we divide out:
45 ÷ 12 [starting equation]
3 9/12 [divide with remainder]
3 3/4 minutes...3.75 minutes
To solve this problem, we must first find the discount amount, and then subtract this amount from the total price of the item.
To find the discount amount, we must find 35% of $40. To do this, we must first convert 35% to its decimal equivalent by dividing 35/100. We do this because percentages are parts out of a total 100 percent, thus this fraction represents an equivalent value that we can multiply by other numbers. Using our knowledge that 35/100 = 0.35, we can now set up our expression:
35% of $40 (keep in mind that the word "of" refers to multiplication in math)
0.35 * 40
To solve, we just multiply these two numbers together, which gives us 14.
This means that Kala got a discount of $14 off of the original price of $40. To find out how much she paid for it, we must subtract $14 from $40, as modeled below:
$40 - $14 = $26
Therefore, Kala paid $26 for the item.
Hope this helps!
