Answer:
The surface area of the ball is of 29 square inches.
The volume of the ball is of 15 cubic inches.
Step-by-step explanation:
The ball has an spherical format:
Circumference of a sphere:
The circumference of a sphere is 6.2832 times the radius.
Surface area
In which r is the radius.
Volume:
The circumference of the ball is 9.4 inches.
So the radius is:
Surface area
Rounding to the nearest unit, the surface area of the ball is of 29 square inches.
Volume:
Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.
Answer:
(0, 9)
Step-by-step explanation:
The y-intercept is the point when x = 0. By looking at the graph, when x = 0, y = 9. Therefore, the y-intercept of the line is (0, 9).
Answer:
See below
Step-by-step explanation:
Firstly, we'll dilate EFGH by any scale factor.
<u><em>Let's find the scale factor first.</em></u>
=> Scale Factor = 
=> Scale Factor = 
=> Scale Factor = 1.5
1) Dilate the figure by a scale factor of 1.5
2) Reflect it across the origin
3) Translate (Move) 5 units down and then 10 units left.
These transformations will map EFGH onto its image.
Answer:
x = 6
Step-by-step explanation:
Based on the triangle sum theorem, the sum of the interior angles of a triangle = 180°
Given the following, right angle (90°), 60°, and (7x - 12)° as interior angles of the triangle, therefore:
7x - 12 + 90 + 60 = 180
Add like terms
7x + 138 = 180
7x + 138 - 138 = 180 - 138 (subtraction property of equality)
7x = 42
7x/7 = 42/7 (division property of equality)
x = 6
Answer:
76.9690 square units (rounded off to four decimal values)
Step-by-step explanation:
The diameter of the semicircle is 14 units
The radius of the semicircle is thus 14 ÷ 2 = 7 units
Area of a semicircle is given by: 
× π × r²
In our case, the area is = × π × 7² = 76.9690200129 square units
Or 76.9690 square units (rounded off to four decimal values)
