Use the Pythagorean Theorem: a² + b² = c².
a and b are the legs of the right triangle, and c is the hypotenuse.
2) 5² + b² = 6²
25 + b² = 36
b² = 11
b = 3.3 cm
3) 7² + b² = 8²
49 + b² = 64
b² = 15
b = 3.9 cm
4) a² + 5² = 13²
a² + 25 = 169
a² = 144
a = 12 cm
37.8 because you multiply 3 by 12.6 i got 12.6 by dividing 63 by 5
Answer:
m(∠AOF) = 148°
Step-by-step explanation:
From the figure attached,
CD intersects line EF at a point O.
Line CD is perpendicular to the line EF.
m(∠AOE) = 32°
m(∠COE) = 90°
Since m(∠COE) = m(∠AOE) + m(∠AOC) = 90°
32° + m(∠AOC) = 90°
m(∠AOC) = 90° - 32° = 58°
m(∠AOF) = m(∠AOC) + m(∠COF)
= 58° + 90°
= 148°
Therefore, m(∠AOF) = 148° will be the answer.
Answer:
5x^3 + 16x - 2y^3
Step-by-step explanation:
7x + y^3 + 7x^3 + 6x - 3y^3 - 2x^3 + 3x
group like terms
= 7x^3 - 2x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 16x + y^3 - 3y^3
add similar items
= 5x^3 + 16x - 2y^3