1)4-8=-4
2)3+4-5=2
3) -13
4)8+12=20
5) -14
Answer: (3,1)
Explanation:
Answer:
11/12
Step-by-step explanation:
Fraction of smoothie that is Banana = 1/4
Fraction of smoothie that is strawberry = 2/3
The fraction of smoothies that were either banana or strawberry
= 1/4 + 2/3
Least Common Denominator= 12
= (3 × 1 + 2 × 4)/12
= 3 + 8/12
= 11/12
The fraction of smoothies were either banana or strawberry is 11/12
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = 
cos(40) = 
0.766 ≈ 
3.06 ≈ x
x ≈ 3.06
John
| \
| \
|. \
|. \
(a)400ft
|. \
|. \
|. \(c) length of rope
|. \
|. \
|____________________Boat
350 ft (b)
Pythagorean theorem
a-squared + b-squared = c-squared
400-squared + 350-squared = c-squared
160,000 + 122,500 = c- squared
282,500 = c-squared
Now take the square root of each side of the equation
531.5 = c
The length of the rope is 531.5 feet