Answer:
Step-by-step explanation:
To use the least number of terms, simplify the expression. To simplify, distribute into the parenthesis and combine like terms.
Answer:
69.9245
Step-by-step explanation:
Speed of ball = 13.07 × swimming speed
Speed of ball = 13.07 × 5.35
Answer:
( 0 , 4 )
Step-by-step explanation:
Your estimate is correct
Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that 
. If we plug the side lengths in for a and b, we get 
. This can be simplified to 
, or 
. If we root both sides, we find that c is equal to 
, which is slightly more than 7, at around 7.2.
