Answer:
49
Step-by-step explanation:
The area of a shape is the amount of space it can occupy.Laura's design will be light enoughThe shape is given as a trapezium (see attachment).First, calculate the height (h) of the trapezium using the following Pythagoras theorem 52=h2+x2 Where: x=11−92=1 So, we have: 52=h2+x2 52=h2+1225=h2+1 Collect like terms h2=25−1 h2=24 Take square root sh=4.90The area of the shape is then calculated as follows: Area=12(11+9)×h Area=12(11+9)x4.90 Area=12×20×4.90 Area=10×4.90 Area=49
The area of the shape is 49 square inches.Hence, the shape will be light enough (because 49 is less than 80
X(t) = 1/2sin t + cos (2t)
speed = x'(t) = 1/2cos t - 2sin(2t)
acceleration = x''(t) = -1/2sin t - 4cos(2t)
When t = pi/2,
acceleration = -1/2sin(pi/2) - 4cos(pi) = -1/2 - 4(-1) = -1/2 + 4 = 3 1/2 = 7/2 m/s^2
X= 26
The equation is setup like 2x+10=62 because the angles are the same
Answer:
If its width is w, which expression gives the perimeter of the rectangle in terms of w? A. 2(5/2 w) + w B. 5/2 w + w C. 3 w + 10/2 D. 6
Step-by-step explanation:
there you go !