Answer:
angle B: 39
AC: 7.288
AB: 11.58
(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)
Step-by-step explanation:
To solve this we will use SOH, CAH, TOA
we have the angle and the one opposite to it which means we can use either SOH or TOA
let's use TOA
tan(51)=(9/x)
x= 7.288
We can now use pahtagaryous theroem to solve for the hyptonouse
we have
9²+7.288²=C²
C=11.58
Finally, to find angle B we will recall that the angles of a triangle must add to 180.
51+90+a=180
a=39
Answer:
y/3. 1/3y
Step-by-step explanation:
1/3y is y/3 because 1*y=y
13) As they’ve given the zeros, you can use those to create factors. Since the zeros are x=-1, x=-3, and x=4, by making the right side 0 in each equation, you get the factors (x+1), (x+3), and (x-4). Then, you can multiply those factors using box method or FOIL or whichever method you prefer. By multiplying (x+1) and (x+3), I got x^2+4x+3. Then, I multiplied that by (x-4) to get x^3-13x-12, which is your final answer.
14) Using the same steps in 13, I found the factors. As the zeros are x=-6 and x=0, I got the factors (x) and (x+6). Then, I multiplied them and got x^2+6x, which is the answer.
15) x=1, x=1, x=2. These become the factors (x-1), (x-1), and (x-2). Then, by multiplying (x-1) and (x-1) you get x^2-2x+1. Multiply that by (x-2) to get your final answer, x^3-4x^2+5x-2.
16) Zeros are x=-1, x=5, and x=-2. You get the factors (x+1), (x-5), and (x+2). Multiply (x+1) and (x-5) to get x^2-4x-5. Multiply that by the other factor, (x+2), to get your final answer, x^3-2x^2-13x-10.
First make a triangle by connecting the center point of the circle to one of the end points of the chord.
This will make a right triangle. The new formed line is the radius of the circle and will be the hypotenuse of the right triangle too.
Since one of the legs of the right triangle is half the chord, divide the chord in to two.
9.6 / 2 = 4.8
Now we can calculate for the hypotenuse.
Pythagorean theorem states that a²+b² = c²
So
√2.4² + 4.8² = c
√5.76 + 23.04 = c
√28.8 = c
5.4 = c
C is the hypotenuse and the hypotenuse is known as the radius of the circle.
So the radius is 5.4
Answer:
X=1?
Step-by-step explanation:
I don’t know what you mean
