Answer: 108 degrees
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Explanation:
Angle ABC is given to be 90 degrees. By the converse of Thales Theorem, we know that AC is a diameter of the circle.
If we draw a line from A to C, it will pass through the center of the circle.
Therefore, arc AC is 180 degrees as this is half the distance around the circle.
minor arc AD = 72
minor arc CD = x
(minor arc AD) + (minor arc CD) = arc AC
72+x = 180
72+x-72 = 180-72
x = 108
minor arc CD is 108 degrees
The answer is 12.92 in, 12 in, and 11.2 in
The area (A) of the triangle is:
A = s * a / 2
s - side
a - altitude
We know:
A = 84 in²
s1 = 13 in
s2 = 14 in
s3 = 15 in
a1 = ?
a2 = ?
a3 = ?
_______
a1 = ?
A = s1 * a1 / 2
84 = 13 * a1 / 2
84 * 2 = 13 * a1
168 = 13 * a1
a1 = 168 / 13
a1 = 12.92 in
_________
a2 = ?
A = s2 * a2 / 2
84 = 14 * a2 / 2
84 * 2 = 14 * a2
168 = 14 * a2
a2 = 168 / 14
a2 = 12 in
_______
a3 = ?
A = s3 * a3 / 2
84 = 15 * a3 / 2
84 * 2 = 15 * a3
168 = 15 * a3
a3 = 168 / 15
a3 = 11.2 in
Answer:
b
Step-by-step explanation:
we have
To find the roots of g(x)
Find the roots of the first term and then find the roots of the second term
Step 1
Find the roots of the first term
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Square root both sides
so the factored form of the first term is
Step 2
Find the roots of the second term
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Remember that
Square root both sides
so the factored form of the second term is
Step 3
Substitute the factored form of the first and second term in g(x)
therefore
the answer is
the roots are
Answer:
30.
Step-by-step explanation:
You could do 15 times the amount by 2 then add 6.
