Answer:
28cm
Step-by-step explanation:
A=a+b
2h=4+10
2·4= 28cm
Answer:
Consider the following non-perfect square number (instructor provides a large number, ex: 1260). Explain whether you would choose the greatest perfect square method or the prime factor method, and then find the simplified square root of that number. (listen to student response) How did you decide to choose that method? Would the other method work? Why or why not? George plays basketball in a week-long camp. On day 2, he scored 8 points. On day 4, he scored 12 points. Explain how to measure his average rate of change. (Instructors can change the scenario to personalize for the students.)
Step-by-step explanation:
HOPE IT HELPS
<span>Here you go:
1) Applying (a + b)² = a² + b² + 2ab,
(cosx + cosy)² = cos²x + cos²y + 2cos(x)*cos(y) and
(sinx + siny)² = sin²x + sin²y + 2sin(x)*sin(y)
2) ==> (cosx + cosy)² + (sinx + siny)² =
= (cos²x + sin²x) + (cos²y + sin²y) + 2{cos(x)cos(y) + sin(x)sin(y)}
= 2 + 2{cos(x - y)} = 2[1 + cos(x - y)]
= 2*2cos²{(x - y)/2} [Multiple angle identity, 1 + cos(2A) = 2cos²A]
= 4*cos²{(x - y)/2} [Proved]</span>
Answer:
2x + 6y + 9
A= 2. B= 6. C= 9
Step-by-step explanation:
I think sorry if I did this wrong
Let us translate the statements in the problem to mathematics equations
Let the angle is x degree
So its supplement is

And its complement is

Since the supplement is 6 times its complement, so Multiply the complement by 6 and equate the answer by the supplement

Let us simplify the right side


Now let us solve the equation to find x
At first, add 6x to both sides to put x in the left side

Now subtract 180 from both sides to put the number in the right side

Divide both sides by 5 to get x

So the measure of the angle is 72 degrees
You can check the answer
180 - 72 = 108
90 - 72 = 18
18 * 6 = 108
So the supplement of 72 is six times its complement