Answer:
Solution given:
For rectangle
length [L]=BC=16in
breadth [b]=AB=4in
For traingle
length[l]=8in
breadth [b]=3in
total area =area of rectangle ABCD+2×area of triangle DEF
=L×b+2×1/2×[b×h]
=16×4+8×3=88in² is your answer
Answer: 1.)Quadratic
2.) A.
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
Plug in x = 3 in the equation: 3(3 - 4) + 2(3) - (3)^2
Now simplify with order of operations:
3(3 - 4) = -3
2(3) = 6
-(3)^2 = -9
-3 + 6 - 9 = -6
In a quadrant graph, since both are negative, it would be in the third or III
Answer:
(b) 65/27
Step-by-step explanation:
Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.
The sum represented by the summation symbol is ...
5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3
= 5(1 -2/3 +4/9 -8/27)
= 5/27(27 -18 +12 -8)
= 5(13/27) = 65/27
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There is a formula for the sum of a geometric series:
Sn = a1×(1 -r^n)/(1 -r)
Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...
S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27