Answer:
144 pyramids
Step-by-step explanation:
The volume of a pyramid = 1/3*base area * height
Given: Base area = 3 sq.inches
Height = 4 inches
Volume of each pyramid = 1/3*3*4
= 4 cube inches.
To find the number pyramids can the artist make from block of alabaster artist, we need to divide 576 by 4.
= 576/4
= 144
Therefore, the artist can make 144 pyramids.
Thank you.
Answer:
See attachment
Step-by-step explanation:
In other to draw a mapping diagram for the ordered pairs (1,0) (3,0) (5,4) (7,4) (9,4).
We identify the domain and range:
The domain is the set of the first coordinates of the ordered pairs.
Domain={1,3,5,7,9}
The range is the set of all the second coordinates.
Range: {0,4}
Answer:
The range of the function is:
Range R = {14, 17, 20}
Step-by-step explanation:
Given the function
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
- Range refers to all the possible sets of output values on the y-axis.
We are given that the domain of the function is:
Domain D = {4, 5, 6}
Now,
substituting x = 4 in the function
f(4) = 3(4) + 2
f(4) = 12 + 2
f(4) = 14
substituting x = 5 in the function
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
substituting x = 6 in the function
f(6) = 3(6) + 2
f(6) = 18 + 2
f(6) = 20
Thus, we conclude that:
at x = 4, y = 14
at x = 5, y = 17
at x = 6, y = 20
Thus, the range of the function is:
Range R = {14, 17, 20}
Answer:
Step-by-step explanation:Please mark me as the brainlyest
Answer:
The correct option is;
Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left
Step-by-step explanation:
The motion of the shape are
1) The shape is moved up from the initial position
2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock
3) The shape then moves two motion of coming down and moving right in one step
4) The shape is then rotated 90 degrees in the clockwise direction
5) In the final step, the shape is moved left.