Part 1
We want to find the tan of 88 degrees, 22' 45''.
88° 22' 45''
= 88 + 22/60 + 45/3600 degrees
= 88.3792°
From the calculator, obtain
tan(88.3792°) = 35.3409
Answer: 35.3409
Part 2
We want to find cot(36°).
By definition, cot(x) = 1/tan(x).
From the calculator, obtain
tan(36°) = 0.7265
Therefore
cot(36°) = 1/0.7265 = 1.3764
Answer: 1.3764
Answer:
x = 22
y = 35
Step-by-step explanation:
Because its an isosceles triangle, you know the base angles are equal so:
Solving:
subtract 2x from both sides
add 11 to both sides
Next, find the angle measures of the two base angles:
To find y, you know that the interior angles of the whole triangle add up to 180, so you have
solving,
subtract 110 from both sides
divide both sides by 2
Answer:
Chesa will make 4 gallons of soup this year.
Step-by-step explanation:
If you multiply 32 times 2 you will get 64. You then find out how many cups are in a gallon. If 16 cups are in a gallon, you then divide 64 by 16. Your answer should be 4.
The racer take 4 hours (between 8:00 to 12:00) to race 3/4 of 6 miles
3/4 of 6 miles = 18/4 = 4.5 miles
4 hours ⇒ 4.5 miles
1 hour ⇒ 4.5 ÷ 4 = 1.125 miles
The time taken to complete 6 miles = 6 ÷ 1.125 = 16/3 hours = 5.3 hours
