Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides, that is
perimeter = 8 + 12 + 17 = 37 cm
To use Heron's formula for area (A)
A = 
where a, b and c are the lengths of sides and s the semi perimeter
s = 37 ÷ 2 = 18.5
let a = 8, b = 12 and c = 17, then
A = 
= 
= 
≈ 43.52 cm² ( to 2 dec. places )
Answer:
{x = -3
, y=2 (Isolved for both variables be elimination)
Step-by-step explanation:
Solve the following system:
{3 x + 5 y = 1 | (equation 1)
7 x + 4 y = -13 | (equation 2)
Swap equation 1 with equation 2:
{7 x + 4 y = -13 | (equation 1)
3 x + 5 y = 1 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{7 x + 4 y = -13 | (equation 1)
0 x+(23 y)/7 = 46/7 | (equation 2)
Multiply equation 2 by 7/23:
{7 x + 4 y = -13 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{7 x+0 y = -21 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 7:
{x+0 y = -3 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = -3
, y=2
Answer:
0, 1, 2, 3, 4, 5
Step-by-step explanation:
When you divide a natural number by 6, the remainders you can get are 0, 1, 2, 3, 4, and 5. Hope this helps!
1/4 hour because since it took him 3/4 hr to milk 3 groups, it is reasonable to divide 3/4 by 3. So in 1/4 hour.
Answer:
-39991'
Step-by-step explanation:
We require the sum of 7 terms of the G.S. -1, 6, -36 .....
The common ratio r = 6/-1 = -6 and the first term = -1.
Sum of n terms = a1 . (r^n - 1) / (r - 1)
Sum of 7 terms = -1 * (-6)^7 - 1) / (-6 - 1)
= -1 * 39991
= -39991 (answer).
