Question 7: Option 1: x = 33.5°
Question 8: Option 3: x = 14.0°
Step-by-step explanation:
<u>Question 7:</u>
In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle
So,
Perpendicular = P = 32
Hypotenuse = H = 58
So,
Rounding off to nearest tenth
x = 33.5°
<u>Question 8:</u>
In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x
So,
Perpendicular = P = 5
Base = B = 20
So,
Rounding off to nearest tenth
x = 14.0°
Keywords: Right-angled triangle, trigonometric ratios
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Answer: 9.9 Original answer is 10.5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
let the angles be 3k,10k,2k
then 3k+10k+2k=180
15k=180
k=180/15=12
x=10k=10×12=120°
The function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| is; g(x) = x + 8
<h3>How to solve transformation problems?</h3>
Transformations are used to change the position of a function from one point to another.
Now, we are given the function as;
f(x) = -3 + |x - 11|
To reflect the function above across the y-axis, we will make use of the following transformation rule: (x, y) → (-x, y)
Thus, since we are given f(x) = -3 + |x - 11|, applying the transformation rule above gives us;
f(-x) = -3 + |-1(x - 11)|
Removing the absolute sign gives us;
f(-x) = -3 + x + 11
f(-x) = x + 8
Thus, the function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| is; g(x) = x + 8
Read more about Transformations at; brainly.com/question/4289712
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Answer:
is the answer.
In decimal y = 43.71
Step-by-step explanation:
Given:
y varies directly with x .
Also x = 7 when y = 18
To Find:
y = ? when x = 17
Solution:
y varies directly with x .
i.e. y is directly proportional to x
∴ 
Where
k = constant of proportionality {Remain Same}
First we will find constant of proportionality k,
∴ When x = 7 and y = 18 we have
∴ 
Now when x= 17 and 
we have
∴
∴ 
