X^3 +3x^2 +5x +3 / x+1 = x^2 +2x +3
x^3 +x^2
------------
0 2x^2 +5x
2x^2 +2x
----------------
0 3x +3
3x +3
---------
0 0
so the 3rd choice is right sure
Answer:
1225π
Step-by-step explanation:
The question concerns the volume of the cylinder.
The formula of the volume is:
, where r is the radius and h is the height.
Plugging the given numbers into the formula, we find that:
The result - 1225π shows that the cylinder can be filled fully with that given amount.
Answer:
d=i√7, -i√7
Step-by-step explanation:
-2d^2 -4=10 add 4 to both sides
-2d^2 = 14 divide each term by -2
d^2= -7 take the square root of each side to get rid of the exponent
d= = √-7 ( put a slash(short line above that = sign ) in the second equal sign)
d = =i√7
Answer:
it would be 7/10
Step-by-step explanation:
7 over 10.
Hope this helps:)
Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
