To calculate the sine of an angle, simply divide the length of the opposite side, 479.16, by the length of the hypotenuse, 610. To get the cosine, divide the length of the adjacent side, 377.5, by the length of the hypotenuse, 610.
5 2/3 - 1 1/4
5-2 =3
2/3 - 1/4 = 8/12 - 3/12 = 5/12
answer is 3 5/12
9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
<u>Given</u>:
- The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
- The perimeter of this triangle is between 10 feet and 24 feet inclusive.
<u>Find</u>:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
<u>Solution</u>:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
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b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
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c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.
