Answer:
D
Step-by-step explanation:
The area (A) of a kite is calculated as
A = 
× d₁ × d₂ ( d₁ and d₂ are the diagonals )
This can be represented as
Multiply the diagonals then divide by 2 → D
Answer:
∠A = ∠C = 60°
∠B = ∠D = 120°
Step-by-step explanation:
In quad. DPBQ, by angle sum property we have
∠PDQ + ∠DPB + ∠B + ∠BQD = 360°
60° + 90° + ∠B + 90° = 360°
∠B = 360° – 240°
Therefore, ∠B = 120°
But ∠B = ∠D = 120° opposite angles of parallelogram
As, AB || CD opposite sides of a parallelogram
∠B + ∠C = 180° sum of adjacent interior angles is 180°
120° + ∠C = 180°
∠C = 180° – 120° = 60°
Hence ∠A = ∠C = 60° Opposite angles of parallelogram are equal
When you want to find a percent of a number you do this:
given number/ 1 multiplied by percentage/100
so in this question its a multiple step
start with finding 25 percent of 4250 which is= 1062.5
so thats how much the discount is so the amount after the 25% discount is:
4250-1062.5= 3187.5
then you have to add 9% due to fees
so you find 9% of 3187.5 which is= 286.875
so you add 286.875 to 3187.5 gives you= 3437.375 in total cost for the vacation package
Alright, lets get started.
The answer Sandra got is correct that is zero but there are some mistakes she made while writing steps.
Incorrect step
Because as per even/odd identity,
Cot (-Θ) = - cot (Θ)
Hence
Now,
It could be written as
0
Hence the answer is 0. : Answer
Hope it will help :)
Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
= 3·4ⁿ + 51
= 3·4ⁿ⁺¹ + 51
- = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
- = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴ - is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since - is divisible by 9, we have;
- 
= 
- is divisible by 9
Therefore is divisible by 9 and is divisible by 9 for all positive integers n
Step-by-step explanation:
