Answer:
Step-by-step explanation:
0.5cos(2pi/9x-7pi/9)-4.5
The answer to the question is the first one
Hi there! :)
<u>Answer:</u>
The car needs <u>6 gallons</u> of gas to travel 192 miles.
Step-by-step explanation:
In order to answer your question, you'll need to use the cross product method:
32 miles → 1 gallon
192 miles → X gallons
<u>(1 × 192)</u> ÷ 32 = X gallons
<u>192 ÷ 32</u> = X gallons
<u>6</u> = X gallons
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
The perimeter of the triangle is 40.
Step-by-step explanation:
Pythagorean Theorem: If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse. Alternatively, x^2 + y^2 = r^2.
The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order. Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).
Performing the indicated operations, we get:
4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1. Simplify this first by combining like terms:
20x^2 - 16x = 16x^2, or
4x^2 - 16x = 0, or
4x(x - 4) = 0. Thus, x = 0 (which makes no sense here) or x = 4.
The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1. Substituting 4 for x, we get
P = 8 + 16 - 1 + 16 + 1, or 40.
The perimeter of the triangle is 40.
It’s exact form is 1/3 simplified
