Answer in photo. hope this helps
Work shown above! Answer is y = -6(1/3)^x
edit: at the bottom it says "be must be 1/3" I meant "b must be"
Whatever your choices are, just substitute the x and y values to the equations. If they satisfy the inequality, then they are the solutions. For example, point (7, 1) satisfies the inequalities.
y > -2x
1 > -2(7)
1 > -14 (true)
<span>3y < x – 2
3(1) < 7 - 2
3 < 5 (true)
I hope I was able to help you. Have a good day.</span>
Altérnate exterior
same side exterior
vertical angles
corresponding angles
alternate interior
same side interior
straight angles
Answer:
r = 7.1 cm
Step-by-step explanation:
Given the following data;
Volume of hemisphere = 757 cm³
To find the radius of the hemisphere;
Mathematically, the volume of a hemisphere is given by the formula;
Volume of hemisphere = ⅔πr³
Where, r is the radius of the hemisphere.
π = 22/7
Substituting into the formula, we have;
757 = ⅔πr³
Cross-multiplying, we have;
757 * 3 = 2πr³
2271 = 2*22/7*r³
2271 = 44/7*r³
Cross-multiplying, we have;
2271 * 7 = 44r³
15897 = 44r³
r³ = 15897/44
r³ = 361.30
Taking the cube root of both sides, we have;
r = 7.1223
To the nearest tenth of a centimeter;
r = 7.1 cm
