Answer:

Step-by-step explanation:
First, recall the 4 basic imaginary exponents:

So, we want to find:

This is the same as:

52 is 4 times 13. Thus:

Since we know that i to the fourth is 1:

Simplify:

And this equals:

So:

300=2×2×5×5×3
We observe that 2 and 5 are grouped in pairs and the 3 is left unpaired.
If we multiply 300 by the factor 3 then
300×3=2×2×5×5×3×3
900=2×2×5×5×3×3 which is a perfect square.
∴ Required number is 3
root of 900 =30
Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:

Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:



m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
For independent events,
P(X ∩ Y) = P(X)* P(Y)
=>
1/3 = P(X)*(5/6)
solve for P(X) =>
P(X) = (1/3)*(6/5) = 2/5 = 0.4
Answer:
(3,2)
Step-by-step explanation:
when reflecting across the x axis the y value becomes - while the x value stays the same