for the first term:
n= 1 there is 1 item
n=2 there are 2+1 = 3 items
n = 3 there are 3+2+1 = 3+2 = 6 items
n = 4 there are 4+3+2+1 = 4+6 = 10 items
We are adding the "n" term each time
n = 5 10+5 = 15
n= 6 15+6 = 21
n = 7 21+7 = 28
n = 8 28+8 = 36
There would be 36 items in the 8th step
Answer:
see explanation
Step-by-step explanation:
the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
if the sides are a, b, c , then the following must be true
a + b > c
a + c < b
b + c > a
for the 3 sides to form a triangle
Answer:
4.76cm
Step-by-step explanation:
Given data
circumference= 15cm
The expression for circumference is
C= 2πr
substitute and solve for r
15= 2*3.14*r
r= 15/ 2*3.14
r=15/ 6.28
r= 2.38 cm
Hence the diameter is
D= 2r
D= 2*2.38
D=4.76cm
Answer:
The width is 5 and the length is 11
Step-by-step explanation:
The formula for perimeter is
P = 2(l+w)
We know the perimeter is 32
32 = 2 (l+w)
Divide each side by 2
32/2 = 2(l+w)
16 = l+w
We know the length is 6 longer than the width
l = w+6
16 = w+6+w
Combine like terms
16 = 2w+6
Subtract 6 from each side
16-6 = 2w+6-6
10 = 2w
Divide by 2
10/2 = 2w/2
5 =w
The length is
l = w+6
5+6 = 11
Answer:
Terminal side in 2nd Quadrant
Only sin(x) & cosec(x) are positive in 2nd Quadrant
Perpendicular=5
Base=√(13²-5²)=√(169-25)=√144=√12²=12
Hypotenuse=13
