Answer:
The answer to your question is
A = 29.6°
B = 115.4°
C = 35°
Step-by-step explanation:
Process
1.- Use the Cosines law to answer this question
c² = a² + b² - 2abcosФ
Solve for cos Ф
cos Ф = (c² - a² - b² )/ -2ab
Substitution
cosФ = (7² - 6² - 11²) / (-2)(6)(11)
cosФ = (49 - 36 - 121) / -132
cos Ф = -108 / -132
cos Ф = 0.818
Ф = 35° = C
Find B
cos Ф = (b² - a² - c²) / (-2ac)
cos Ф = (11² - 6² - 7²) / (-2)(6)(7)
cos Ф = ( 121 - 36 - 49) / -84
cos Ф = 36 / -84
cos Ф = -0.429
Ф = 115.4° = B
2.- Find a
The sum of the internal angles in a triangle equals 180°
A + B + C = 180
A + 115.4 + 35 = 180
A = 180 - 115.4 - 35
A = 29.6°
Answer:
B. 2,433,400 m^3
Step-by-step explanation:
V = (1/3)Bh
where B = area of the base of the pyramid, and
h = height of the pyramid
B = s^2 = (230 m)^2
h = 138 m
V = (1/3)(230 m)^2(138 m)
V = 2,433,400 m^3
2x-3y = 13
x + 2y = -4
For this case, the first thing we can do is rewrite the system of equations as:
2x-3y = 13
-2x-4y = 8
We now add both equations obtaining:
-7y = 21
We clear y:
y = 21 / -7
y = -3
We substitute the valos of y = -3 in any of the equations to find x:
x + 2 (-3) = - 4
We clear x:
x-6 = -4
x = -4 + 6
x = 2
Answer:
2x-3y = 13
x + 2y = -4
The solution to the system of equations is:
x = 2
y = -3
Answer:
A) 300 cm2
Step-by-step explanation:
First you have to find height
use Pythagorean theorem: a2 + b2 = c2
h2 + 64 =289
h2 = 289-64
h2 = 225
h= 15
now the area
A = a * h
A = 20 * 15
A = 300 cm2
If you are talking about the area and perimeter of one of the triangular faces...
8 x 1.2 = 9.6
6 x 1.2 = 7.2
Perimeter = 9.6 + 7.2 + 7.2 = 24
Area = Linear Scale Factor²
1.2² = 1.44
7 x 1.44 = 10.08 (units)²