Answer:
50 and 30.94
Step-by-step explanation:
The coat cost 46.5 pounds after a 7 percent reduction
so we can write:
- 46.5⇒ (100-7)⇒ 93 percent
- x(the initial price) ⇒ 100 percent
using the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
The jumper costs 32.8 pounds after an increase of 6 percent
so:
- 32.8⇒(100+6)⇒ 106 percent
- x (the initial price)⇒ 100 percent
using proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
The simplified version of this equation is
<u>Given:</u>
The circle has a diameter of 30 cm and a chord of 10 cm is drawn.
Radius of the circle = 15 cm
Half of the chord = 5 cm
We need to determine the distance of chord from the center of the circle.
<u>Distance of chord from the center of the circle:</u>
Let us use the Pythagorean theorem, to find the distance between the center and the chord.
Let d denote the distance between the center and the chord of the circle.
Thus, we get;



Taking square root on both sides, we get;

Thus, the distance between the center and the chord of the circle is 14.14 cm.
Hence, Option A is the correct answer.
The answer is D and it is the correct answer
Set up a system of equations:
x + y = 0.6
x - y = 7.2
You can solve using elimination. Add the two equations together:
2x + 0y = 7.8
2x = 7.8
x = 3.9
Then plug the number back into either of the two original equations to solve for y:
3.9 + y = 0.6
y = -3.3
The two numbers are 3.9 and -3.3