Answer: Choice D
This basically says "the nth term is found by computing math, aka evaluating some function, based on the (n-1)th term".
As an example, we could have a function that simply squares the input
Let's say we started at 5. It squares to 25 which in turns squares to 625, and so on. Each new term is based on the old term. Namely, we squared the old n-1 term to get the new nth term.
For a shape to be a square all the angles need to be 90 degrees.
Angle B = 3x+60 = 90
3x +60 = 90
Subtract 60 from each side:
3x = 30
Divide both sides by 3:
x = 30 /3
X = 10
Answer:
Step-by-step explanation:
99x - 44y = -605
-99x + 63y = 738
19y = 133
y = 7
-9x + 28 = 55
-9x = 27
x = -3
(-3, 7)
Answer:
63
Step-by-step explanation:
2+1= 3
15-3= 12
12 x 3 = 36
99 - 36
= 63
Answer:
Option D.
Step-by-step explanation:
- First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
- Next, we know that the formula for calculating the area of a right angled triangle is given by:
A = 1/2 (base × perpendicular height)
- The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
- Therefore, the formula will be:
A = 1/2 (x.x)
=1/2 (x²)
32 = 1/2 (x²)
Multiplying both sides by 2 gives:
32×2 = x²
64 = x²
8 = x
To find the third side, we use the Pythagoras theorem:
C² = A² + B²
= 8² + 8²
= 128
C = √128
= 8√2
However, the answer will not be exact, so we multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)
Repeating the steps above gives C = √ (16)² + (16)²
= √256
This corresponds to option D.
