Answer:
Step-by-step explanation:
Check if the lengths of the sides follows the Pythagorean theorem.
9² + 12² ≟ 15²
81 + 144 ≟ 225
225 = 225
Triangle ABC is a right triangle.
Step-by-step explanation:
One side of a triangle is 9 cm and other side is 37 cm. We need to find what could be the length of the third side of the triangle.
If we add one and other side i.e. 9 cm + 37 cm = 46 cm
If we subtract one and other side i.e. 37 cm - 9 cm = 28 cm
We know that, the length of the third side must be less than the sum of the other two sides and greater than the difference between the other two sides.
Thus, the third side could be between 46 cm and 28 cm.
1 2/6 = 6/6 + 2/6
answer is A.
----------------------
5/8 - 4/8 = 1/8
answer is B 1/8 lb
---------------------------
1 6/8 = 14/8
1 3/8 = 11/8
14/8 + 11/8 = 25/8 = 3 1/8
answer is C. 3 1/8 miles
-----------------------
1 7/100 + 4 6/10 = 5 67/100 (5 and 67/100)
------------------------------------
3/4(4) =3
1/4(2) = 1/2
3 - 1/2 = 6/2 - 1/2 = 5/2 = 10/4
answer is C. 10/4 ft
Answer:
= 4.32 × 10^4
Step-by-step explanation:
= 4.32 × 10^4
(scientific notation)
= 4.32e4
(scientific e notation)
= 43.2 × 10^3
(engineering notation)
(thousand; prefix kilo- (k))
In scientific notation, a large number is converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some power. Very small numbers are converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some negative power.
Answer:
Step-by-step explanation:
Recall that we say that d | a if there exists an integer k for which a = dk. So, let d = gcd(a,b) and let x, y be integers. Let t = ax+by.
We know that 
so there exists integers k,m such that a = kd and b = md. Then,
. Recall that since k, x, m, y are integers, then (kx+my) is also an integer. This proves that d | t.
