Answer:
x = 24°
Step-by-step explanation:
the sum of the interior angles in a triangle = 180°
so:
(2x + 5°) + 64° + 3x - 9° = 180°
combine like terms:
5x + 60° = 180°
subtract 60° from each side of the equation:
5x = 120°
x = 24°
Answer:
19.9 miles
Step-by-step explanation:
In this problem we have:
is the distance travelled during the 1st day
is the distance travelled during the 2nd day
is the distance travelled during the 3rd day
is the distance travelled during the 4th day
We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:
Which can be rewritten using the general formula:
This means that
By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:
So, the distance travelled on the 7th day is 19.9 miles.
Answer:
the second one pretty sure
<h3>
Answer:</h3>
30 ft; 0.4 min
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you ...
... Sin = Opposite/Hypotenuse
Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...
... Hypotenuse = Opposite/Sin
Filling in the values from this problem, we have ...
... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft
The time it takes to travel that distance is given by ...
... time = distance/speed
... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min
Answer:
x = 
Step-by-step explanation:
x^2 + 8^2 = 9
Simplify the 8^2
x^2 + 64 = 9
Subtract 64 from both sides
x^2 = -55
Take the square root from both sides
x = +/- 
Simplify
x =
Hope this helps!
