They are both right triangles so we can use the Pythagorean
theorem to solve.
6. B = sqrt(15^2-9^2)
B = 12 mm
7. B = sqrt(26^2-10^2)
B = 24 Cm
When you multiply 205 by 0.91 you get 186.55 and 205 minus 186.55 is 18.45
Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point <em>B</em> are;
The horizontal distance between the tree and point <em>B</em>, x = 125 meters
The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°
Let <em>h</em> represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
The value of the function f(x) = x² + 6x - 9 when x = -5 is -14.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Given that:
f(x) = x² + 6x - 9
When x = -5:
f(-5) = (-5)² + 6(-5) - 9 = -14
The value of the function f(x) = x² + 6x - 9 when x = -5 is -14.
Find out more on equation at: brainly.com/question/2972832
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Answer:
16+24=40
Step-by-step explanation: 2x+5(y-1) when x=8 and y=5. put x where it belongs, by the 2 and do the same with y, by the -1. and then slove. 2*8= 16 , 5*5= 25-1, then add 16 and 24 together and get 40.
