Answer:
10√3/3
Step-by-step explanation:
To get x we will use the SOH CAAH TOA trigonometry identity
Given
Angle = 60 degrees
Hypotenuse = x
Opposite = 5
Sin theta = opposite/hypotenuse
Sin 60 = 5/x
x = 5/sin 60
x = 5/(√3/2)
x = 5 * 2/√3
x = 10/√3
Rationalize
x = 10/√3 * √3/√3
x = 10√3/3
hence the length of the side x in simplest radical form is 10√3/3
Answer:
C
Step-by-step explanation:
To add the polynomials you can only add like terms. Like terms are terms that have the same variables and exponents. Only -5 and 4 are like terms. So leave the other terms alone.
The sum is 11x^2 + x - 1.
A = lw
80 = 2x(x - 3)
80 = 2x(x) - 2x(3)
80 = 2x² - 6x
0 = 2x² - 6x - 80
0 = 2(x²) - 2(3x) - 2(40)
0 = 2(x² - 3x - 40)
2 2
0 = x² - 3x - 40
0 = x² - 8x + 5x - 40
0 = x(x) - x(8) + 5(x) - 5(8)
0 = x(x - 8) + 5(x + 8)
0 = (x + 5)(x + 8)
0 = x + 5 or 0 = x + 8
- 5 - 5 - 8 - 8
-5 = x or -8 = x
The values of x are -5 and -8.
Answer:
Step-by-step explanation:
According to the information given in the exercise, you know that:
of the group's video games is at Jerome's house.
of the group's video games is at Mario's house.
Then, you need to add those fractions in order to solve the exercise.
Notice that the denominators of the fractions are different; so in this case, you need to multiply them in order to find the Least Common Denominator (LCD). This is:
Now, the procedure is:
1- Divide each original denominator by the LCD and multiply the numerators by the quotient obtained.
2- Add the products (This sum will be the numerator).
Then, you get the following result: