Answer:
-5<x<10
Step-by-step explanation:
1) -6< x-1<9
you take -1 out for both sides and it changes the sign
-6 +1< x< 9+1
-5<x<10
Good luck!
Answer:
z < 8
Step-by-step explanation:
Add 3 to both sides
8 > z OR z < 8
Answer:
Step-by-step explanation:
We are given the trigonometric equation of:
Let u = 4x then:
Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).
Convert u-term back to 4x:
Divide both sides by 4:
The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:
Answer:
If x is the distance from centre fo the circle, with radius 25cm, to its intersection point with the common chord, x²+24²=25² =>x=7cm.
Distance from this intersecting point to the centre of the other circle=39–7=32cm
Ratio of the sides of the right triangle thus formed is 24:32=3:4. Since 3:4:5 is the basic pythagorean triplet, the radius of the other circle=5*24/3=40cm.
Aliter: radius of the other circle=√32²+24²= 40cm.
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Answer:
123 tons
Step-by-step explanation:
1) Convert 12 1/3 tons to a decimal - 12.3
2) multiply 12.3 by 10 - 123 tons
