Hey there!
In order to solve this, remember PEMDAS. First, start with solving whatever is in parentheses. Then, move on to exponents. Then, complete the multiplication and division. Lastly, add or subtract anything remaining. Omit any steps that aren't present.
Parentheses:
<span>1 – 5 + 1 × (4 × 4 – 31) × 8
</span>1 – 5 + 1 × (–15) × 8
Multiplication/Division (Left to Right):
1 – 5 + (–15) × 8
1 – 5 + (–120)
1 – 5 – 120
Addition/Subtraction (Left to Right):
–4 – 120
–124
Your answer is –124.
Hope this helped you out! :-)
The answer is as follow
sin60° = 400√3 / H1, implies H1= 400√3 / sin60° <span>
sin30° = </span>400√3 / H2, implies H2= 400√3 / sin30° <span>
and the if the distance is D,
so we can find D such that D= H2 - H1=</span>400√3 / sin30° - 400√3 / <span>sin60°
D= </span>400√3(1/sin30° - 1/ sin60°)=400√3(2-1.15)=338.11<span>√3</span>
So you round to the second decimal place, giving you 43.59
Answer:
x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
Step-by-step explanation:
Solve for x:
x^4 + 8 x^3 + 7 x^2 - 40 x - 60 = 0
The left hand side factors into a product with three terms:
(x + 2) (x + 6) (x^2 - 5) = 0
Split into three equations:
x + 2 = 0 or x + 6 = 0 or x^2 - 5 = 0
Subtract 2 from both sides:
x = -2 or x + 6 = 0 or x^2 - 5 = 0
Subtract 6 from both sides:
x = -2 or x = -6 or x^2 - 5 = 0
Add 5 to both sides:
x = -2 or x = -6 or x^2 = 5
Take the square root of both sides:
Answer: x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
