Answer:
The perimeter of the square is 
Step-by-step explanation:
step 1
Find the length side of the square
we know that
The area of a square is equal to
where
b is the length side of the square
we have
substitute and solve for b
square root both sides
step 2
Find the perimeter of the square
we know that
The perimeter of the square is equal to
we have
substitute
Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = 
= 
= 
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
Hope this isn't too confusing
All of the numbers have different shortcuts.
1. Yes. Divisible by 4: if last two digits are divisible by 4 then the whole number is yes)
2. No. Divisible by 6: it must be even and when you add them up, (44) it must be divisible by 3 (no, 44 is not divisible by 3)
3. Divisible by 8: ( last 3 numbers are divisible by 8 (312) = 39 ( yes it is)
4 Yes. Divisible by 11: ( sum of digits at odd places and sum of digits at even spaces,is either 0 or divisible by 11) yes, 278949. (2+8+9) + (7+9+9)= 19 + 25 = 44 and 44 is divisible by 11)
5. No. Divisible by 12 (divisible by 3 and 4, sum of digits is divisible by 3 ; and last 2 digits divisible by 4: 87654395 : 52/3= 18 (yes) 95/4(no) this number not divisible by 12
6. No. Divisible by 15: divisible by 3 and 5 ..87654385 = 46/3 = 15..(No) divisible by 5 yes. The number is not divisible by 15
Answer: 105 grams
Step-by-step equation: they each eat 21 grams a day
Answer:
20 and 3/16
Step-by-step explanation:
Answer:
578×176=20316
Solution with Steps
578×176=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
57×178×6=96948
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 969 and 48 using
GCF(969,48) = 3
969÷348÷3=32316
The fraction
32316
is the same as
323÷16
Convert to a mixed number using
long division for 323 ÷ 16 = 20R3, so
32316=20316
Therefore:
578×176=20316
Solution by Formulas
Apply the fractions formula for multiplication, to
578×176
and solve
57×178×6
=96948
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(969,48) = 3
969÷348÷3=32316
Convert to a mixed number using
long division for 323 ÷ 16 = 20R3, so
32316=20316
Therefore:
578×176=20316
