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:
#LearnwithBrainly
Answer:
The answer is .125
Step-by-step explanation:
Find where the curve intersects the <em>x</em>-axis; this happens when <em>y</em> = 0:
<em>y</em> = <em>t</em> - <em>t</em> ² = 0 → <em>t</em> (1 - <em>t</em> ) = 0 → <em>t</em> = 0, <em>t</em> = 1
Then the area of the bounded region is

(you can compute the integral by parts)
Divide 10 & 8
Then multiply your answer by 40
Answer:

Step-by-step explanation:
Let
represent the real numbers.
For the first part, all real numbers less than or equal to 9 in algebra is
.
For the second part, all real numbers greater than or equal to 7 in algebra is
.
To combine both inequalities, it would become
.
Hope this helped! If not, please let me know! <3