Answer:
10.3
Step-by-step explanation:
Let the given points be the endpoints of a right triangle. The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.
The desired distance is found using the Pythagorean theorem:
d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)
Answer:
40 steps downwards
Step-by-step explanation:
The area of a rectangle is length times width or base times height
so 5 times 2x-3
if you multiply them together 5(2x-3) you would get 10x-15
there is no value of x
so the area would be 10x-15ft^2
Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle
, is 1.42. We are asked to find the length of the side opposite angle
.
We can represent our given information in an equation as:

Now, we will use arctan to solve for theta as:


Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.







Therefore, the opposite side to angle theta is 16.4 feet.