This shape is separated into two trapezoids. The equation for the area of a trapezoid is .5(base1 + base2) multiplied by height. Therefore, each half of the compound shape would be equal to .5(12 + 8) * 6 or 10 * 6 = 60. So the area of the total would be 60+60 or 120.
Answer:
The 7th graders earn the 50 points.
Step-by-step explanation:
3.89 is in minutes I assume?
3.89 > 1
7th graders earn the 50 points.
Answer:
Step-by-step explanation:
X^2-3x=7/4 should first be rewritten in standard form, which here would be:
x^2 - 3x - 7/4 = 0.
1. Identify the coefficient of the x term and take half of that number:
-3/2
2. square this result: (-3/2)^2 = 9/4
3. add this last result, 9/4, between the -3x term and the -7/4 term, and then subtract it as shown:
x^2 - 3x + 9/4 - 9/4 - 7/4 = 0
4. Rewriting the first 3 terms as the square of a binomial, we get:
(x - 3/2)^2 - 16/4 = 0, or (x - 3/2)^2 = 16/4
5. Take the square root of both sides, obtaining:
x - 3/2 = ±√4/2 or ±√2
6. Write out the two roots: x = 3/2 + √2
and x = 3/2 - √2
A) 1/7, 3/7, 9/7, 27/7, 81/7
Multiple the numerator by 3
B) 24, 12, 6, 3, 1.5
Divide by 2
Pitch changes are heard when the doppler effect occurs should be the answer. I'm pretty sure.