Answer:
Step-by-step explanation:
Let
Original price = p
Less Discount = 20%
Total discount paid for the item = 20% of p
= 20/100 * p
= 0.2 * p
= 0.2p
Actual price after discount = 100% - 20%
= 80%
Total price paid for the item = 80% of p
= 80/100 * p
= 0.8 * p
= 0.8p
Answer:
The tree is 20.6 ft tall.
Step-by-step explanation:
Please check the attached graph.
From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.
The diagram makes a right-angled triangle.
- Given the angle = Ф = 38⁰
- Hypotenuse = Tree length = c ?
Pythagorean Theorem:
For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

substituting a=5, b=20


ft
Thus, the tree is 20.6 ft tall.
Answer:
308[cos(45) + isin(45)]
Step-by-step explanation:
z1×z2:
Modulus: r1 × r2
= 7×44 = 308
Argument: theta1 + theta2
= -70 + 115 = 45
z1z2 = 308[cos(45) + isin(45)]
Or
z1z2 = 154sqrt(2) + (i)154sqrt(2)
sqrt: square root
Answer is 1
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