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
Learn more about trigonometric ratios at:
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Answer:
D) f(x) = 6x
Step-by-step explanation:
Answer:
Step-by-step explanation:

b.
an=an-1+3
C.
when x=15
y=3×15-2=45-2=43
a15=43
Answer:
The range of the given data set is 6.
Step-by-step explanation:
Range of the data set provides us with some basic information regarding spread of the data.
It is commonly used and quite easy to find.
First step is to arrange the values from the lowest to the highest.
It is already given arranged, so that will savd us some time.
Next step is simply subtracting the two values on the extremes, or, simply put, subtract the lowest from the highest value.
So, the range in this case would be 7-1=6.