2)9.
3)10.
4)None of the choices are correct.
Answer:
We know angle ABD is a right angle due to the marking, therefor 4x + 5x= 90.
9x = 90
x = 10.
Therefor the unknown value of x is 10.
Answer:h
Step-by-step explanation:
II. Factor the quadratic expression. Rewrite the equation with factors instead of the original polynomial.
III. Use the zero product property to solve the quadratic equation.
IV. Rewrite your solutions to Part III by replacing u with sin x.
V. Solve the remaining equations for x, giving all solutions to the equation.
we have that
I. Rewrite the equation by substituting the expression u in for sin x.
II. Factor the quadratic expression. Rewrite the equation with factors instead of the original polynomial.
is equal to
using a graph calculator-----> see the attached figure
III. Use the zero product property to solve the quadratic equation.
(u-3)=0--------------> u=3
(2u+1)=0-------- 2u=-1------> u=-1/2-----> u=-0.5
IV. Rewrite your solutions to Part III by replacing u with sin x.
sin x=3--------> is not the solution (sin x can not be greater than 1)
sin x=-0.50------>is the solution
V. Solve the remaining equations for x, giving all solutions to the equation.
sin x=-0.50
if the sine is negative
then
x belong to the III or IV quadrant
we know that
sin 30°=0.50
so
the solution for the III quadrant is
x=180°+30°-------> x=210°
the solution for the IV quadrant is
x=360°-30°------> x=330°
a. 1/52
b. 1/2
c. 12/13
If Dennis rolls 2 number cubes with sides labeled 1 to 6, what is the probability that the sum of the numbers is greater than or equal to 10.
We know that:
so: