Answer:
GF = 16.25
Step-by-step explanation:
If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.
Step 1
We find x
AG = GC
6x + 1 =9x - 11
Collect like terms
1 + 11 = 9x - 6x
12 = 3x
x = 12/3
x = 4
Step 2
We solve for AG
GC = 9x + 11
GC = 9(4) + 11
GC = 36 + 11
GC = 25
Step 3
Solving for GF, using Pythagoras Theorem
GF² + BG² = GC²
GF² = GC² - BG²
GF = √GC² - BG²
GF = √25² - 19²
GF = √264
GF = 16.248076809
GF = 16.25
I believe it’s 6.5 just divide 50 by 8 .
Answer:
7. 2355 m
8. 1570 km
9. 157 cm
10. 40.82 m
Step-by-step explanation:
The circumference of a circle is pi * diameter or 2 * pi * radius.
If you are given the diameter, just multiply it by pi, 3.14.
If you are given the radius, then multiply the radius by 2 and then by pi, 3.14.
7. d = 750 m
circumference = pi * d = 3.14 * 750 m = 2355 m
8. d = 500 km
circumference = pi * d = 3.14 * 500 km = 1570 km
9. r = 25 cm
circumference = 2(pi)r = 2 * 3.14 * 25 cm = 157 cm
10. r = 6.5 m
circumference = 2(pi)r = 2 * 3.14 * 6.5 m = 40.82 m
Use the difference of 2 squares (a - b)(a + b) = a^2 - b^2:-
(x - 1/x)(x + 1/x) = x^2 - (1/x)^2
= x^2 - 1/x^2
(x ^2 - 1/x^2)(x^2 + 1 /x^2)
= x^4 - 1/x^4
(x^4 - 1/x^4)(x^4 + 1/x^4)
= x^8 - 1 /x^8 Answer
$15 + $32.50 + 8% = $51.30
15 + 32.50 = 47.50
8% × 47.50 = 3.80
47.50 + 3.80 = 51.30
