Answer:
Consider this: factors that are the same that are in the numerator and denominator of a fraction cancel out.
e.g. 20/30 = [2(10)]/[3(10)] = 2/3 This is because the 10 present in the numerator exactly equals the 10 present in the denominator.
We can use the above principle for these types of problems!
If the projectile is fired at 422 mi/hr, and we want to convert this speed into m/s, we just need to go through the following process:
422 mi/hr * 1610m/1mi * 1hr/60min * 1min/60s = 189 m/s
Step-by-step explanation:
Answer:
1.A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
2.
Solution given:
We have
Sin²
-Cos ²=1
Sin²=1+Cos²
Sin=
3.
4Tan²+4Cot²-3Tan²-3Cot²
4Tan²-3Tan²+4Cot²-3Cot²
Tan²-Cot²
Answer:
75°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
let x be the sixth angle, then sum and equate to 720°
150 + 100 + 80 + 165 + 150 + x = 720
645 + x = 720 ( subtract 645 from both sides )
x = 75
The sixth interior angle is 75°
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
