The product of x and the sum of 6 and 8 times the square of x
1 answer:
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Answer:
63.5
Step-by-step explanation:
The diagonals of a rhombus bisect opposite angles.
The longer diagonal bisects the 42° angle
The larger angle of the rhombus is 180 - 42 = 138
Let x = the length of the longer diagonal
You know two sides and the included angle of a triangle.
Using the law of cosines we get
x^2 = 34^2 + 34^2 - 2(34)(34) cos 138
= 1156 + 1156 - 2312 c0s 138
= 4030.1508...
x = sq rt 4030.1508...
= 63.5
Answer: Jack has $42
Step-by-step explanation:
Let be "j" the amount of money in dollars that Jack has, "w" the amount of money in dollars that Walker has and "t" the amount of money in dollars that Trust has.
You know that they have $100 altogether, then you can write the following equation:
[Equation 1]
Jack has $20 more than Walker, then:
[Equation 2]
And Trust has $14 more than walker, then you can write this equation:
[Equation 3]
Substitute the Equation 2 and the Equation 2 into the first one:
Now, solve fo "w":
Finally, substiute the value of "w" into the Equation 2 and evaluate: