Answer:
18.6 units
Step-by-step explanation:
A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. A diagonal can be drawn between opposite corners that splits the triangle into two equal right triangles. The distance of this diagonal is found using the Pythagorean Theorem a² + b² = c². In the rectangle a = 11 and b = 15. Substitute these values and simplify using a square root operation.
11² + 15² = c²
121 + 225 = c²
346 = c²
√346 = c
18.6= c
A soccer ball is an icosahedron with curved faces that is why it can be regarded as spherical. The volume of a sphere is calculated through,
Vs = 4<span>πr^3/3
where Vs is the volume and r is radius. From the given, 8.65 in is the diameter which is 4.325 in in radius.
Vs = 4</span><span>π(4.325^3)/3 = 338.88 in cubed.
Thus, the volume of the ball is 338. 88 in cubed. </span>
Answer:
41/21km or 1 20/21km
Step-by-step explanation:
1) simplify fractions: 4 2/7 = 30/7 and 2 3/9 = 7/3
2) find common denominator: 90/21 - 49/21
3) subtract: 41/21
4) simplify: 41/21 or 1 20/21