Answer:
15 feets
Step-by-step explanation:
From. Trigonometric relation :
Tanθ = opposite / Adjacent
Tan 33.69 = 10 / x
0.6666649 = 10 / x
x = 10 / 0.6666649
= 15 feets
Hence, base of tree to swingset is 15 feets
Answer:
its 10
Step-by-step explanation:
10 times 1 is 10
Step-by-step explanation:
| v − 455 | < 23
Writing this without absolute values:
-23 < v − 455 < 23
Solving for v:
432 < v < 478
In interval notation: (432, 478)
This interval is within the range of blue wavelengths, so the fireworks will be blue.
By using Euler's notation, we will see that:
z^7 = 78,125*e^(-i*4.48)
<h3>
How to get z^7?</h3>
We know that:
z = 4 - 3i
Remember that for a complex number:
w = a + bi
In Euler's notation, we can write this as:
w = √(a^2 + b^2)*e^(i*Atan(b/a))
Then, for z, we will get:
z = √(4^2 + (-3)^2)*e^(i*Atan(-3/4))
z = 5*e^(-i*0.64)
Now, if we apply an exponent of 7 to this number, we will get:
z^7 = ( 5*e^(-i*0.64))^7
z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)
If you want to learn more about complex numbers, you can read:
brainly.com/question/10662770