Answer:
area of the figure A is 7.5m^2
Step-by-step explanation:
figure A is the combination of rectangle and triangle.
so
area of figure A = area of triangle + area of rectangle
= 1/2 X b X h + L X b
= 1/2 X 1 X (1+1+1) + (1+1+1) X (1+1)
= 0.5 X 1 X 3 + 3 X 2
= 1.5 + 6
= 7.5 m^2
To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.
The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2
The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
=216 ft^2
Subtract 75.4 from 216
216-75.4=140.6
There is 140.6 cubic feet of concrete left in the block.
90 is the LCM of 30 and 45
The complement of 31° is the angle that when added to 31° forms a right angle (90° ).
Answer:
b. false
Step-by-step explanation:
when multiplying matrixes the number of columns of the first matrix must be equal as the number of rows of the second matrix, and since here matrix A has 4 columns but matrix B has 5 rows they can't be multiplied
