The surface area of the pyramid will be given as follows:
Area of triangles:
A=1/2×base×height
A=1/2×12×18
A=108 m²
Area of 6 triangles is given by:
A=108×6=648 m²
Area of the hexagon:
A=6×1/2×12×6√3
A=374.123m²
Total surface area:
SA=648+374.123
SA=1022.123 m²~1022 m²
Answer: C] 1022 m²
Answer:
h_max = 324.09 ft
Step-by-step explanation:
The correct equation is;
h = 245t - 16t²
We are told that as the rocket descends, it deploys
a recovery parachute when it reaches 325 feet above the ground.
Thus;
245t - 16t² = 325
Thus;
16t² - 245t + 325 = 0
Using quadratic formula, we have the roots as;
t = 1.47s or 13.85s
We will pick the higher value.
Thus;
Maximum height will occur at t = 13.85 s
Thus, plugging in 13.85 for t into h = 245t - 16t², we have;
h_max = 245(13.85) - 16(13.85)²
h_max = 324.09 ft
Answer:
B. Square
Step-by-step explanation:
When in doubt, it can help to plot the points on a graph.
__
By looking at the coordinate values, you see that the first two points have the same y-coordinate (0) and the other two points have the same y-coordinate (-4). These points are on horizontal lines that are 4 units apart.
Looking at the x-coordinates, you see that one pair of points has x-coordinates 4, and the other pair has x-coordinates 8. That is, these pairs of points are on vertical lines that are 4 units apart.
Vertical and horizontal lines are at right angles to each other. That means the figure must be a rectangle or square. The lengths of the sides are all 4 units, so the figure is a square.
Answer:
4 batches
Step-by-step explanation:
one batch calls for:
3/4 PB
1 1/2 cup SG
1 EGG
3/.75(3/4)= 4
9/1.5(1 1/2)=6
5/1= 5
The maximum number of batches she can make before running out of ingredients is 4
Answer:
5/4
Step-by-step explanation:
You just need to multiply 1/2 by 2 to give you a common denominator:
3/4+2/4
From there you can add the numerators:
5/4
HTH :)
