Solving the triangle requires solving all of the dimensions involve in the polygon given. We are given an angle, and two of the sides of the triangle. We can solve the third side by using the law of cosines.
b² = a²+c²-2accos(B)
b² = 38² + 18² - 2(38)(18)cos(36)
b = 25.7
We use the law of sines to solve for the angles.
a/sinA = b/sinB
38/sinA = 25.7/sin36
A = 60.4°
C = 180 - 36 - 60.4 = 83.6°
(Step#1): Find the Perpendicular bisector of a line segment with endpoints
(Step#2): Find a Point on the perpendicular bisector
(Which is the midpoint of a given line segment)
Using the midpoint Formula which is:
(X3, Y3) = (X1 +X22, Y1 + Y22)
I Hope this helps you!!!
Answer:
84.14 square units, total
Step-by-step explanation:
Use the formulas for area of the figures you're interested in.
<u>Rectangle Area</u>
A = LW
<u>Circle Area</u>
A = πr^2
__
Your rectangle area will be ...
A = 5 × 14 = 70 . . . . square units
The area of a full circle with diameter 6 (radius = 6/2 = 3) will be ...
A = π × 3^2 = 9π
The area of a semicircle of that size is half that:
semicircle area = 9π/2 = 4.5π
Then the total area of the two figures is ...
70 + 4.5π ≈ 70 +14.14 = 84.14 . . . square units
Answer:
x=
3
2
=0.667
x=3
Step-by-step explanation:
Known information:
- the sum of three numbers: 24
- the smallest number is 2 less than the largest number
- the largest number is equal to the sum of the smallest and middle number.
Let us set up some variables for our terms:
- smallest number --> S
- middle number --> M
- largest number -- L
Let us set up some equations in terms of our known information
- S + M + L = 24
- S = L - 2
- L = S + M
Let us set up everything in terms of L, because in the first equation, we will be able to get rid of all the other variables but L allowing us to solve the equation:
(S + M) + L = 24 ---> L + L = 24
2L = 24
L = 12
Since L = 12, we know that S = L - 2:
S = L - 2 = 12 - 2 = 10
Since now we know that L = 12, and S = 10, and L = S + M:
L = S + M
12 = 10 + M
M = 2
So our answer is 2, 10, 12
Hope that helps!
