Answer:
Step-by-step explanation:
Given
Fireplace is in the form of semi-ellipse with height of 3 ft from center
Length of base=8 ft
if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis
2 a =8
a=4 ft
If contractor cover the whole base
then total length of string=2a =8 ft
(b)String should be nailed at focus
focus of ellipse is a e
where e=eccentricity


Focus 
Thus string should be nailed at 2.64 m from center
Answer:
1,254,000
Step-by-step explanation:
22%=0.22. 5,700,000 times 0.22=1,254,000
Answer:
x = 8/3
Step-by-step explanation:
Solve for x:
6 x + 8 (5 - 7) = 0
5 - 7 = -2:
6 x + -2 8 = 0
8 (-2) = -16:
6 x + -16 = 0
Add 16 to both sides:
6 x + (16 - 16) = 16
16 - 16 = 0:
6 x = 16
Divide both sides of 6 x = 16 by 6:
(6 x)/6 = 16/6
6/6 = 1:
x = 16/6
The gcd of 16 and 6 is 2, so 16/6 = (2×8)/(2×3) = 2/2×8/3 = 8/3:
Answer: x = 8/3
Answer:
For a right-angled triangle, Pythagoras’ Theorem states that a 2 +b 2 = c 2 where c is the hypotenuse. A Pythagorean triple is a set of three integers that exactly fits the Pythagoras relationship. If the lengths of the three sides of a triangle obey Pythagoras’ Theorem the triangle is right-angled.
Step-by-step explanation: