Answer:
The measure of side AB is 6√3 cm.
Step-by-step explanation:
The question is:
In the right triangle shown, ∠A = 30° and BC = 6. What is AB?
Solution:
Consider the right-angled triangle ABC below.
In the triangle:
∠A = 30°
∠B = 90°
BC = 6 cm
According to the trigonometric identities for a right-angled triangle the tangent of an angle is the ratio of the length of perpendicular side to the length of the base.
That is for angle θ° the value of tan θ° is:

In the triangle ABC, the perpendicular side is side BC and the base is AB.
Compute the length of side AB as follows:

The value of tan 30° is,

The value of side AB is:


Thus, the measure of side AB is 6√3 cm.
Answer:
Step-by-step explanation:
To find the weight of 1 load of stone, divide 2/3 by 4.
To divide fractions, use keep change flip.
Keep the first fraction the same, change the division sign into a multiplication sign, and flip the second fraction.
I attached the work and answer for this problem. If you have any questions please feel free to ask.
Hope this helps.
The equation is 1/3X+5=17 so Amanda would be 4 years old
The format of the given line is 5x + 2y = 12. The format of a parallel line will be almost identical; only the constant will be different.
So start with the framework 5( ) + 2( ) = C and substitute -2 for x and 4 for y:
5( -2) + 2( 4 ) = C
Then C = -10 + 8, or C = -2. Thus, the desired equation is 5x + 2y = -2.