Answer:
C)
Step-by-step explanation:
1/2 = 0.5
5/8 = 0.625
7/11 = 0.63
2/3 = 0.66
Answer:

Step-by-step explanation:
- Re-write the expression:
÷
- 31/6 ÷ 7/10 = 31/6 × 10/7
×
- 310/42 = 155/21
I hope this helps!
Answer:

Step-by-step explanation:
The diagonal of any square with side length
is equal to
. Since the side length of the square is 10, the diagonal must be
.
To support and prove this:
The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse (
).
Call the diagonal
. In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:

Answer:
(a) 498501
(b) 251001
Step-by-step explanation:
According Gauss's approach, the sum of a series is
.... (1)
where, n is number of terms.
(a)
The given series is
1+2+3+4+...+998
here,



Substitute
,
and
in equation (1).



Therefore the sum of series is 498501.
(b)
The given series is
1+3+5+7+...+ 1001
The given series is the sum of dd natural numbers.
In 1001 natural numbers 500 are even numbers and 501 are odd number because alternative numbers are even.



Substitute
,
and
in equation (1).




Therefore the sum of series is 251001.
Answer:
72
Step-by-step explanation:
2(8) + 7(8)
16 + 56
72