The answer is 4 6/7
Explanation:
34 goes into 7, 4 times so that would be four wholes and the remainder would go over seven
So 34-28 = 6
Therefore, you would get 4 6/7.
Answer:
A) 2 + i
Step-by-step explanation:
F(x) = x^3 - 3x^2 + x + 5
0 = x^3 - 3x^2 + x + 5
0 = (x+1)(x^2 - 4x + 5)
Great, now we can separate these two parenthesis expressions because of the Zero Product Property. Start with the simple one:
0 = x + 1
<u>x = -1</u>
We have our first real root! But it doesn't look like that's one of the answer choices, so move on to the other expression:
0 = (x^2 - 4x +5)
This expression can't be factored, so we will use the quadratic formula (which is x =
).
First solve for the positive part:
= (4 + sqrt(16-20)) / 2
= 4 + sqrt(-4) / 2
= 4 + 2i / 2
<u>= 2 + i</u>
Then for the negative part:
= (4 - sqrt(16-20)) / 2
= 4 - sqrt(-4) / 2
= 4 - 2i / 2
<u>= 2 - i</u>
<u></u>
<u>2 + i</u> is answer choice A! Our other roots, <u>2 - i</u> and <u>-1</u>, aren't answer choices.
Answer:
11 6/9
Step-by-step explanation:
Daniel works in a market
He has large bags of potatoes that weighs 26 1/4
Daniel is going to sell them in smaller bags 9/4 pounds each
Therefore the number of smaller bags of potatoes in which Daniel would have filled can be calculated as follows
= 26 1/4 ÷ 9/4
= 105/4 ÷ 9/4
= 105/4 × 4/9
= 105/9
= 11 6/9
Answer:
A i think
Step-by-step explanation:
GOOD LUCK
Answer:
Perpendicular = Y = 34.64 ft (Approx)
Base = X = 20 ft
Step-by-step explanation:
Given:
θ = 60°
Hypotenuse = 40 ft
Perpendicular = Y
Base = X
Find:
X and Y
Computation:
Sinθ = Perpendicular / Hypotenuse
Sin 60 = Y / 40
Perpendicular = Y = 34.64 ft (Approx)
Cosθ = base / Hypotenuse
cos 60 = X / 40
Base = X = 20 ft