Answer:
44 +14i
Step-by-step explanation:
(5 + i)(9 + i)
FOIL
first 5*9 = 45
inner: 9i
outer :5i
last: i*i = i^2 = -1
Add togheter
45 + 9i+5i -1
Combine like terms
44 +14i
Answer:
18 ft³
Step-by-step explanation:
<span>here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
19</span>²<span> = 13</span>²<span> + X</span>²<span>
X - length of the third side
361 = 169 + X</span>²<span>
X</span>²<span> = 361 - 169
X</span>²<span> = 192
X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm</span>
Pythagorean Theorem is a^2 + b^2 = c^2
Use it to find the hypotenuse of a right triangle
Formula for:
Volume of cones- 1/3 * 3.14 * r^2 * h
Volume of cylinders- 3.14 * r^2 * h
Volume of Spheres - 4/3 * 3.14 * r^3