The diagram shows a gizmo where a cylinder is connected to a hemisphere with the same radius. The gizmo is held vertical by a thin straight rod which is connected to a horizontal plate and the top rim of the cylinder. The total volume of the gizmo is 9.8cm cubed. The radius of the hemisphere and cylinder is 0.8cm. Calculate the length of the rod.
extra info: The angle between the plate and the rod is 72°

5.1cm

Step-by-step explanation:

volume of hemisphere = 1.07cm³

9.2-1.07 = 8.13

volume of cylinders = 8.13cm³

height of cylinder = 4.04cm

total height of gizmo = 4.04+0.8=4.84

4.84/sin(72) = 5.1cm

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?