In order to get the area of a triangle using sides, the formula that we are going to use is Heron's formula. This is after from "Hero of Alexandria".
So here is the step by step process:
First, we calculate for s (half of the triangles perimeter) s = a+b+c divided by 2.
s = 6 + 10 + 12 / 2
s =28/2
s = 14
Now that we have the s, we can now calculate for the area.
A = square root of s(s-a)(s-b)(s-c)
A= square root of 14 x 8 x 4 x 2
A= square root of 896
A = 29.93
The area of triangle DEF is 29.93 square feet or 30 square feet. Hope this answer helps.
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = 7x - 8 → (1)
y = 5x - 2 → (2)
A
Solving by substitution
Substitute y = 7x - 8 into (1)
7x - 8 = 5x - 2 ( subtract 5x from both sides )
2x - 8 = - 2 ( add 8 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 7(3) - 8 = 21 - 8 = 13
Solution is (3, 13 )
B
The point of intersection of the graph of the 2 equations is the solution to the above equations.
That is point of intersection = (3, 13 )
Answer:
Total number of flat screen sold is 3/4
Step-by-step explanation:
Let the total number of the flat screen sold be y
y = number of flat screen sold in the morning + number of the flat screen sold in the afternoon.
Number sold in the morning = 5/15
Number sold in the afternoon = 1/3
Y = 5/12 + 1/3
Find the LCM of 12 and 3
Y = (5 + 4)/12
Y = 9/12
Y = 3/4
Total number of flat screen sold is 3/4
Answer:
$25.10
Step-by-step explanation:
lunch=$7.52
dinner=$9.74
breakfast=$5.16
money left=$2.68
make total money he began with ‘x’
to find the total money he began with it will be
x-lunch+dinner+breakfast=money left
x-$7.52+$9.74+$5.16=$2.68
x-$22.42=$2.68
x=$2.68+$22.42
x=$25.10
The surface area of the prism would be 64 inch^{2}.
