Answer:
x=12
Step-by-step explanation:
Since the angle needs to add up to 90, you will first need to subtract 30 from 90. This will leave you with 60. Next you will divide 60 by 5 which will give you 12 which is the answer.
Answer:

Step-by-step explanation:
Let
x----->number of games won by the football team
we know that

so

The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere
cubic cm.
The volume of the half-sphere
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume
cub cm. This is closest to the third option 385.17 cubic centimeters.
The formula of the distance between two points:

We have the points (-1, -10) and (-12, -3). Substitute:


Answer: d ≈ 13.0