Answer:
C) 100 m^2
Step-by-step explanation:
Area of a trapezoid= h*[(b1+b2)/2]
h=10
b1=8
b2=12
Therefore:
A=10*[(8+12)/2]
A=10*(20/2)
A=10*10
A=100
So the area of the trapezoid is 100 m^2
Answer:
4.56
Step-by-step explanation:
After this equation is simplified, it is solved the way any 1-step linear equation is solved.
__
1.4t -0.4(t -3.1) = 5.8 . . . . . . given
1.4t -0.4t +1.24 = 5.8 . . . . . eliminate parentheses
t +1.24 = 5.8 . . . . . . . . . collect terms (now you have a 1-step equation)
t = 4.56 . . . . . . . . . .subtract 1.24
Answer:
26 in.
Step-by-step explanation:
» <u>Concepts</u>
The perimeter for a shape is the total distance around it measured in units. The formula to find the perimeter of a trapezoid is a + b + c + d, where a & b are the bases, and c & d are the lengths of the other sides.
» <u>Solution</u>
Adding up all the sides, we get:
26 inches
2/3 and 12/18 are equivalent fractions, and 12+18 = 30 so the answer is 12:18
Answer:
A) (1 s, 2.3 s)
B) (-4 m/s², 3.8 m/s²)
Step-by-step explanation:
The car's position which is the distance is given by the equation;
s(t) = t³ - 5t² + 7t
A) Velocity is the first derivative of the distance. Thus;
v(t) = ds/dt = 3t² - 10t + 7
At v = 0, we have;
3t² - 10t + 7 = 0
Using quadratic formula, we have;
t = 1 and t = 2.3
Thus, time at velocity of 0 is t = (1 s, 2.3 s)
B) acceleration is the derivative of the velocity. Thus;
a(t) = dV/dt = 6t - 10
At velocity of 0, we got t = 1 and t = 2.3
Thus;
a(1) = 6(1) - 10 = -4 m/s²
a(2.3) = 6(2.3) - 10 = 3.8 m/s
Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)