Answer:
<u>x = √51</u>
Step-by-step explanation:
The given figure is a <u>right triangle</u>.
<u>Using the Pythagorean Theorem to find x</u>
- (Altitude 1)² + (Altitude 2)² = (Hypotenuse)²
- (7)² + x² = (10)²
- 49 + x² = 100
- x² = 51
- <u>x = √51</u>
Answer:
Y' = -xsin(2x) + 2cos(2x)
Step-by-step explanation:
For this problem, we will need to use the product rule since you have two terms that contain the variable x.
The product rule is simply as follows:
The derivative of the function is the product of the first term times the derivative of the second term plus the derivative of the first term times the second term.
Note the derivative of 2x with respect to x, is 2.
Note the derivative of cos(2x) with respect to x is (-1/2) sin(2x).
With this in mind, let's find the derivative of our function with respect to x.
Y = 2xcos2x
Y = 2x * cos(2x)
Y' = 2x * (-1/2)sin(2x) + 2 * cos(2x)
Y' = (2x * -1 / 2) sin(2x) + 2 * cos(2x)
Y' = (-x)sin(2x) + 2cos(2x)
So the derivative of our function is Y' = -xsin(2x) + 2cos(2x) according to the application of the product rule.
Cheers.
Ropes are 9.63 meters ans 8.178 meters.
<u>Step-by-step explanation:</u>
Step 1 :
List all the given things
Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters
Angle between two ropes = 86 degrees
Angle of elevation of one rope = 42 degrees
Step 2 :
Two angles of triangle are already given so third angle can be calculated as -
Third angle = 180 - ( 86 + 42 ) = 52 degrees
Step 3 :
As we know all three angles we will apply sine rule now, which is
Step 4 :
By putting values, we have
Step 5 : Calculating a and b
, 
Step 6 :
By putting values of all sine and calculating we get,
a = 9.63 meters and b = 8.178 meters
Answer:
A
Step-by-step explanation:
It shows 2.5 and then it adds 4.5 to it
Answer: The correct answer is the 3rd choice.
5h after sunrise until 15h after sunrise.
Step-by-step explanation: looking at the data, the line intercepts and stays above 0 from 5 to 15. Also I took the test.
