For the given triangle, the value of x equals 30.9892 units.
Step-by-step explanation:
Step 1:
In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.
To determine the value of x, we determine the value of the tan of the given triangle.
To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.
Step 2:
The length of the opposite side = 26 units.
The length of the adjacent side = x units.
So x measures 30.9892 units.
Each friend will equally get 2 and 1/2 cookies.
Hello!
The parentheses indicate multiplication; the 18(18) on the left side of the equation is 18 * 18. On the right side of the equation, you have x(x + 15); to simplify this, you would distribute the x--that means multiply each term inside the parentheses by x. This is the Distributive Property:
. Let's do that.
Now, you can subtract 324 from each side to set the equation equal to 0.
This is a quadratic equation; to solve it, we may factor (if the equation is able to be factored) or we can use the Quadratic Formula. Let's see if we can factor. To factor, find two numbers whose sum is 15 and whose product is -324. Since 324 is negative, we know one of the numbers is negative and one of the numbers is positive (a negative times a positive is always negative), and that means one of the numbers is greater than 15...
27 - 12 = 15
27 * -12 = -324
The factored polynomial is: (x + 27)(x - 12).
To find its solutions, set the factors equal to 0 and solve for x.
x + 27 = 0
x = -27
x - 12 = 0
x = 12
Answer:
The solution of
is -27 and 12.
Step-by-step explanation:
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