Answer:
The answer is 
±
in exact form or 
, 
in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring 
, which will look like 
. Next, simplify the equation again, which will look like 
.
Then, use the quadratic formula to find the solutions. The quadratic formula looks like
.
For this problem, the quadratic variables are as follows:
The next step is to substitute the values , , and into the quadratic formula and solve. The quadratic formula will look like 
. To simplify the equation, start by simplifying the numerator, which will look like 
. Then, multiply 2 by 1 and simplify the equation, which will look like 
. The final answer is ± in exact form. In decimal form, the final answer is , .
Step-by-step explanation:
ABC is an isoceles triangle (both legs are equally long). and AB is its baseline.
OC is now a median for ABC splitting the angle at C and AB in half.
so, we have 2 right-angled triangles : OAC and OBC.
the half-angles at C are 42/2 = 21°.
the angles at A and B are 90°.
and the half-angles at O are 180 - 90 - 21 = 69°.
remember that the sum of all angles in a triangle must always be 180°.
AB are the heights of both of these triangles.
the single height is sin(69)×7 = 6.535062985... cm
and so,
AB = 2× height = 13.07012597... cm.
Answer:
x = -19
Step-by-step explanation:
-3= 12x-5(2x-7)
Distribute
-3= 12x-10x+35
Combine like terms
-3 = 2x +35
Subtract 35 from each side
-3-35 = 2x+35-35
-38 = 2x
Divide each side by 2
-38/2 = 2x/2
-19 =x
The answer is B. 18
Explanation:
We know that a square has 4 right angles. A right angle is 90°.
5x° = 90°
5(18)° =90°
90°=90°
Hope this helps some
Answer:
C Cos32
Step-by-step explanation:
