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:
Number of orders seen on last Tuesday = 605
Step-by-step explanation:
Number of orders seen on Tuesday = 600
It is given that it is 0.85% less than last Tuesday.
Let number of sales on last Tuesday = 
As per question statement:
Number of order on last Tuesday - 0.85% of Number of order on last Tuesday = 600
OR
i.e. if we subtract 0.85% of x from x, it must be equal to 600.

So, there were about 605 order seen last Tuesday.
B. 40
Explanation:
40+10= 50, 2x40= 80, 50
50+50+80= 180
(180 degrees in a triangle)
Answer:
c) 2(2y+1)
Step-by-step explanation:
This is because when the tables are together there can be 4 people at each table, plus 1 at either end. Whatever equation you have must have +2 in it, to account for the ends of the tables. The number of tables (y) must be multiplied by 4 because there are always 4 people per table. The number of tables is unknown so 4y must be in your equation.
2(2y+1) simplifies to 4y+2, which is the equation we want.