Answer: volume of pyramid is
100 ft.3
Step-by-step explanation:
The formula for determining the volume of triangular Pyramid is expressed as
Volume = 1/3AH
Where
A represents the area of the triangular base of the pyramid
H represents the height of the pyramid.
The triangular Pyramid has a base of 10 square feet and a height of 30 feet. Therefore,
Volume = 1/3 × 10 × 30 = 100 cubic feet
Answer:
25/32 chapter per hour
Step-by-step explanation:
(5/8)/(4/5)=x/1
cross product
4/5*x=(5/8)(1)
4/5x=5/8
x=(5/8)/(4/5)
x=(5/8)(5/4)
x=25/32
This seems disgusting to solve directly, so let's convert this to vertex form.
1) Divide all terms by 1/2:
2y = -x² - 4x + 14
2) Complete the square:
2y = -(x² + 4x - 14)
2y = -(x² + 4x + 4 - 4 - 14)
2y = -[(x + 2)² - 18]
2y = -(x + 2)² + 18
3) Rewrite in vertex form:
(x + 2)² = -2y + 18
(x + 2)² = -2(y - 9)
Now, we know the vertex is at (-2, 9)
It's a concave down parabola
The axis of symmetry is simply the x-ordinate of the vertex.
The focus is at (-2, 17/2)
The directrix is at (-2, 19/2)
The y-intercept is at y = 7
Answer:
It will take the penguin 26.95 sec to walk 45 feet.
Step-by-step explanation:
Step-by-step explanation: Given. Distance = d = 10 feet. Time = t = 6 sec. First of all we have to calculate speed . Let s be the speed, then. Now, How far does the penguin walk in 45 seconds? Here we know the speed and the time . So, s=1.67 ft per sec. t = 45 sec
A dilation means that a shape is expanded or shrunk by a scale factor. The scale factor is 4, so all the points are multiplied by 4 to reflect this expansion.
A reflection over the y-axis means that the y-values in the points change their sign from positive to negative, and vice versa.
Therefore, the points will become the following:
A''(12,-12), B''(-4, -12), C''(-16,-4), D''(0, -4)
This new shape will be similar to the original shape, since it shares the same shape, but not the same size.
The answer is A.
