Answer:
Let the full marks be y.
Then, the statement become : 30 marks is 40 % of y.
to solve for y;
40% of y can be written as
Then,
from the given condition we have;
or
Multiply both sides by in above equation;
Simplify:
Then, the full marks (y) = 75.
Therefore, 30 marks is 40% of 75.
Check:
30 =
30 =
30 =30 [True]
Answer:
37.75⁰
Step-by-step explanation:
Height of the building = 18 feet (vertical height)
Height of the ladder = 25 feet (Hypotenuse)
We solve this using tan θ =
therefore θ = tan⁻¹ ()
θ (Angle of elevation) = 37.75⁰
In the problem, if we denote the number of lions as x, the number of tigers as x+2, and the number of bears as x+3, and considering that the total of all these animals is exactly 20, we can form and solve a simple algebraic equation. We will find that there are 5 lions, 7 tigers, and 8 bears.
This is a problem of simple algebra. According to the problem, let's represent the number of lions as x, the total number of tigers as x + 2 (since it's two more than the lions), and the number of bears as x + 3 (1 more than the number of tigers).
The problem states the total number of all these animals as 20, so we can set up the following equation: x + x + 2 + x + 3 = 20.
Solving this algebra equation gives you:
3x + 5 = 20
Subtracting 5 from both sides gives us:
3x = 15
Dividing both sides by 3 gives us:
x = 5
So, the number of lions is 5, the number of tigers is 7 (5 + 2), and the number of bears is 8 (7 + 1).
#SPJ2
Write your answer in the form a + bi.
The sum of -2 + i and its complex conjugate is:
w = -4 + 0i
The complex conjugate of a number z = a + bi is:
z' = a - bi.
Then the complex conjugate of -2 + i is -2 - i.
The sum will give:
w = -2 + i + (-2 - i) = -4 + 0
Writing it in the wanted form we get:
w = -4 + 0i
If you want to learn more about complex numbers, you can read:
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Answer:
- 4
Step-by-step explanation:
The conjugate of - 2 + i is - 2 - i, thus
- 2 + i + (- 2) - i
= - 2 + i - 2 - i ← collect like terms
= - 4 ← in the form a + bi with b = 0
The answer is 1/3, I just answered this on USATP.