Answer:
0.325 cm²
Step-by-step explanation:
A =
bh =
*1.3*0.5 = 0.325 cm²
Answer:
G
Step-by-step explanation:
We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.
The side of the missing length is:
a^+b^=c^
2^+4^=c^
4+16=c^
20=c^

Answer:
C
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
so, we know in our case
b(b+12) = 189 cm²
b² + 12b - 189 = 0
let's try to solve this by completing the square.
that means we try to find the expression
(b + k)² + c
that is equal to
b² + 12b - 189
(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189
so,
2k = 12
k = 6
and then
k² + c = -189
6² + c = -189
36 + c = -189
c = -225
(b + 6)² - 225 = 0
(b + 6)² = 225
b + 6 = 15
b = 9
so, the baseline b = 9 cm.
the height b+12 = 9+12 = 21 cm.
F(n+1)=f(n)-2 is the recursive function for this arithmetic sequence. The explicit form is:
f(n)=a-d(n-1) where a(initial term) is 10 and d(common difference) is -2
f(n)=10-2(n-1) which cleans up to
f(n)=12-2n so the first few terms are:
10,8,6,4,2,0,-2,-4.....