Answer:
RSQ is 105° and RPQ is 30°
Step-by-step explanation:
since S is the incenter of PRQ and RQP the angles are divided by 2
then use angle sum property that is 45+30+s=180
75+s=180
s=180-75
s=105
Answer:
900 cubic inches.
Step-by-step explanation:
<u>Given the following data;</u>
Volume of right circular cone = 300in³
We know that the volume of a right circular cone is given by the formula;
Where;
- V is the volume of right circular cone.
- r is the radius of the base of the right circular cone.
- h is the height of the right circular cone.
The volume of a right circular cylinder is given by the formula;
<em>Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder. </em>
Substituting into the equation, we have;
V = 900in³
<em>Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches. </em>
Answer:
3
Step-by-step explanation:
The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across, then there are
boxes in total.
The mass of 1 box of paper is 22.5 kilograms, so 80 boxes weigh
kilograms.
When the driver is in the truck, the mass is 2948.35 kilograms, then the total mass is

Let n be the number of boxes of paper the driver must deliver at the first stop. Their weigth is 22.5n kg and the weight of the truck without n boxes is

Trucks with a mass greater than 4700 kilograms are not allowed over the bridge, thus

Hence, the driver must deliver at least 3 boxes at the first shop.
Answer:
The proportion is 13
:
3 .
Step-by-step explanation: