Answer:
15/2
Step-by-step explanation:
Hello,
the area of a triangle is b*h/2
we can set BC as the base because AC is harder to calculate.
Then we draw an imaginary height.
There's no way to really explain, but the height would be 5 here, since 3 - -2 = 5
The base is 3
3*5/2 = 15/2
Thanks,
lacampanella
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
Answer:
7.07 units
Step-by-step explanation:
Use the Pythagorean theorem for the right triangle:
If a = x, b = x, and c = 10, then
Answer:
ownership in a company
Step-by-step explanation:
the answer is option B
Answer:
{x:x is a natural number less than 6}
Step-by-step explanation:
Set builder is a type of set where we have to represent any value inside a set
by using the variable x, v, b, a, c etc.
Eg A={1,2,3,4}
For eg {a: a is a natural number less than 5}
