Answer:
choice A) circumference = 31.4 ft
Step-by-step explanation:
circumference = 3.14(10)
circumference = 31.4 ft
Answer: The mixed number is 5 5/8 cups of trail mix.
Step-by-step explanation:
- Find the least common multiple of 4, 6, 2, 8, and 3, which is 24.
- Convert the fractions so they have 24 as their denominator.
- 2 1/4 ; 9/4 = 54/24
- 5/6 = 20/24
- 1/2 = 12/24
- 1 3/8 ; 11/8 = 33/24
- 2/3 = 16/24
3. Add the numerators, 54 + 20 + 12 + 33 + 16. 54 +16 = 70. 70 + 20 = 90. 90 + 12 = 102. 102 + 33 = 135.
4. The improper fraction is 135/24. Simplify it by 3 on both numerator and denominator which results in 45/8. 45/8 as a mixed number is 5 5/8 since 8 goes into 45, 5 times and the remainder is 5, which results the denominator to be 8.
Answer:
(x)^2 (y)^2
---------- + --------- = 1
4 3
Step-by-step explanation:
The standard equation for an ellipse is
(x-h)^2 (y-k)^2
---------- + --------- = 1
a^2 b^2
The center is at (h,k)
The vertices are at (h±a, k)
The foci are at (h±c,k )
Where c is sqrt(a^2 - b^2)
It is centered at the origin so h,k are zero
(x)^2 (y)^2
---------- + --------- = 1
a^2 b^2
The center is at (0,0)
The vertices are at (0±a, 0)
The foci are at (0±c,0 )
The vertices are (±2,0) so a =2
The foci is 1
c = sqrt(a^2 - b^2)
1 = sqrt(2^2 - b^2)
Square each side
1 = 4-b^2
Subtract 4 from each side
1-4 = -b^2
-3 = -b^2
3= b^2
Take the square root
b=sqrt(3)
(x)^2 (y)^2
---------- + --------- = 1
4 3
Answer:
2560xy^7
Step-by-step explanation:
256x10y^7=16²x10y^7 = 2560xy^7
Answer:
$57
Step-by-step explanation:
$380x0.85=$323
$380-$323=$57
