Answer:

Step-by-step explanation:
The picture of the question in the attached figure
step 1
Let
r ---> the radius of the sector
s ---> the arc length of sector
Find the radius r
we know that



solve for r

step 2
Find the value of s

substitute the value of r

step 3
we know that
The area of complete circle is equal to

The complete circle subtends a central angle of 2π radians
so
using proportion find the area of the sector by a central angle of angle theta
Let
A ---> the area of sector with central angle theta

substitute the value of r


Convert to function notation

The fourth class ends at 12:30 pm
<em><u>Solution:</u></em>
Given that Harold has 4 classes each morning
Each class is 1 hour long, and there are 10 minutes between classes
The first class is at 8 A.M
<em><u>To find: Time at which fourth class ends</u></em>
Since each is 1 hour long and 10 minutes gap between classes
First class = 8 A.M to 9 A.M
Second class = 9:10 A.M to 10 : 10 AM
Third class = 10 : 20 AM to 11 : 20 AM
Fourth class = 11 : 30 AM to 12 : 30 PM
Thus the fourth class ends at 12:30 pm
Answer:
d) 86.2 degrees
x = 86.20°
Attached is the image used in the question;
Step-by-step explanation:
Applying the law of cosine;
Cos C = (a² + b² - c²)/2ab
Where;
Angle C = x
c = 13 ft
b = 9ft
a = 10ft
Substituting into the equation;
Cos x = (10² + 9² - 13²)/(2×10×9)
Cos x = 0.0667
x = cos⁻¹(0.0667)
x = 86.20°
9.35 times 10 to the second power
To the hundredth is 2 numbers after the decimal so since the third number is a 1 and its less than 5 it does no damage to the 9 therefore you just take away the one and you have your rounded answer, 12.79