Answer:
219.25+140.36=359.61
359.61-140=219.61
Answer is $219.61
Step-by-step explanation:
The area of a triangle can be found by using the formula A = bh/2
To find the area of the shaded region (the green section), we can find the area of both triangles and subtract.
Large triangle:
A = 28*36/2
A = 1008/2
A = 504km²
Small triangle:
A = 15*19/2
A = 285/2
A = 142.5km²
Subtract both triangles:
504 - 142.5 = 361.5km²
Therefore, the area of the shaded region is <u>361.5</u>km²
Best of Luck!
I'm afraid your equation is not correctly set up. You need to identify the longest side of this right triangle; it is x. This is the "hypotenuse." Next, identify the lengths of the legs: they are sqrt(13) and 2sqrt(2).
Here's a refresher on the Pythagorean Theorem:
(hypotenuse)^2 = (leg 1)^2 + (leg 2)^2
Applying this Theorem here, [x]^2 = [2sqrt(2)]^2 + [sqrt(13)\^2
Solve this for x^2, and then take the positive root (only) of your result.
Answer:
the first set of values is correct
Step-by-step explanation:
when x =0,
y = 3(0) -1
y=-1
when x =1,
y=3(1)-1
y=2
when x=2,
y=3(2)-1
y=5
Answer: The central angle measures 135 degrees
Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.
So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.
Length of an arc = X/360 x 2pi x radius
Substituting for the known values, our formula can now be re-written as
9pi/2 = X/360 x 2pi x6
By cross multiplication we now have
9pi/2pi x 6 = 2X/360
We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,
9/12 = X/180
Simplify even further and we have
3/4 = X/180
By cross multiplication we now have
(3 x 180)/4 = X
540/4 = X
135 = X
Therefore the central angle that intercepts the arc measures 135 degrees.