180-130=50
180-96=84
angles in a triangle add up to 180
50+84=134
180-134=46
x=46 degrees
<h2>
Hello!</h2>
The answer is:

<h2>Why?</h2>
To solve the problem, remember to set your calculator in "degree mode"
So, we are given that the angle A is equal to 68°
So, we have that:

Hence, we have that:

Have a nice day!
<h2>
Hello!</h2>
The answer is:
The correct option is the option D

<h2>
Why?</h2>
To calculate the acceleration, we need to use the following formula that involves the given information (initial speed, final speed, and time).
We need to use the following free fall equation:

Where:
is the final speed.
is the initial speed.
g is the acceleration due to gravity.
t is the time.
We are given the following information:



Then, using the formula to isolate the acceleration, we have:


Now, substituting we have:


Therefore, since we are looking for a magnitude, we have that the obtained value will be positive, so:

Hence, the correct option is the option D

Have a nice day!
Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
Answer:
<h2>This triangle is a right triangle:</h2><h2>36² + 15² = 39².</h2>
Step-by-step explanation:
If a ≤ b <c is the length of the sides of a right triangle, then:

We have

Check the equality:



It's a right triangle.