Answer:
The area of the triangle is of 8 units of area.
Step-by-step explanation:
Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices
is given by the determinant of the following matrix:
![A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|](https://tex.z-dn.net/?f=A%20%3D%20%5Cpm%200.5%20%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7Dx_1%26y_1%261%5C%5Cx_2%26y_2%261%5C%5C1_3%26y_3%261%5Cend%7Barray%7D%5Cright%7C)
In this question:
Vertices (1,0) (5,0) (3,4). So
![A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|](https://tex.z-dn.net/?f=A%20%3D%20%5Cpm%200.5%20%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D1%260%261%5C%5C5%260%261%5C%5C3%264%261%5Cend%7Barray%7D%5Cright%7C)
![A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)](https://tex.z-dn.net/?f=A%20%3D%20%5Cpm%200.5%281%2A0%2A1%2B0%2A1%2A3%2B1%2A5%2A4-1%2A0%2A3-0%2A5%2A1-1%2A1%2A4%29)
![A = \pm 0.5*(20-4)](https://tex.z-dn.net/?f=A%20%3D%20%5Cpm%200.5%2A%2820-4%29)
![A = \pm 0.5*16 = 8](https://tex.z-dn.net/?f=A%20%3D%20%5Cpm%200.5%2A16%20%3D%208)
The area of the triangle is of 8 units of area.
Answer:
x = 4.712145
Step-by-step explanation:
Given a=20 and b=28,
c = 4√74 = 34.409301068171
∠α = 35.538° = 35°32'16" = 0.62025 rad
∠β = 54.462° = 54°27'44" = 0.95055 rad
Area = 280
Perimeter = 82.409301068171
<h2><u>
_____________________________________</u></h2>
Let's solve your equation step-by-step.
9x−8=34.409301
Step 1: Add 8 to both sides.
9x−8+8=34.409301+8
9x=42.409301
Step 2: Divide both sides by 9.
![\frac{9x}{9} =\frac{42.409301}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B9%7D%20%3D%5Cfrac%7B42.409301%7D%7B9%7D)
x=4.712145
<h2>
Answer:</h2><h2>
x=4.712145</h2>
75.25+ 48.8=124.05 so rover weighs 124.05 pounds hope this helps☺
Answer:
8963.46
Step-by-step explanation:
84*66 for the rectangle and since there is two semi circles you could just calculate it as one so it would be 84*66+33*33*3.14 because formula for area of circle is A= pi*raduis with exponant of 2
Answer:
Option c
Step-by-step explanation:
if x = 12
12^2 = 144
144/18 = 8
28 + 8 = 36