Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) = 
cos(x) = 
x = 
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) = 
tan(x) = 
x = 
x = 67.29°
x ≈ 67.3°
<u><em>Answer:</em></u>
The bird will have traveled 403 meters in 13 seconds if it maintained a speed of 31 m/sec
<u><em>Explanation:</em></u>
<u>The equation that relates velocity, distance and time is:</u>

<u>This means that:</u>
distance = velocity * time
<u>In the given, we have:</u>
velocity = 31 m/sec
time = 13 sec
<u>Substitute with the givens in the above equation and solve for the distance as follows:</u>
distance = velocity * time
distance = 31 * 13
distance = 403 meters
Hope this helps :)
The simplification of 25p^6q^9 / 45p^8q^4 using a positive exponent;
- Division is 5p^6 q^9 / 9p^8 q^4
- Elevated form is 5/9 p^-2 q^5
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions made up of factors, variables, terms, coefficients and constants.
They are also comprised of arithmetic operations such as addition, subtraction, multiplication, division, etc
We also know that index forms are also know as standard forms.
They are mathematical expressions showing the power of exponent of a variable in terms of another variable.
Given the index algebraic forms;
25p^6q^9 / 45p^8q^4
Using the rule of indices, we take the negative exponent of the divisor and multiply through.
We have;
5p^6 q^9 × 9p^-8 q^-4
Add exponential values
5/9 p^6-8 q^9 -4
5/9 p^-2 q^5
Thus, the expression is simplified to 5/9 p^-2 q^5
Learn more about index forms here:
brainly.com/question/15361818
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Answer:
2/10
Step-by-step explanation:
smart 'v'