Answer:
A) The three triangles have the same area
B) 10 square units
Step-by-step explanation:
In the figure attached, the triangles are shown.
A) The three triangles have the same area because all have the same base and height (see figure)
B) Area of a triangle = (1/2)*base*height
Area of a triangle = (1/2)*4*5 = 10 square units
If you find the volume of each figure separately then add them together, then you'd get your answer.
The formula for volume is V=Base Area*Height, V=BH
So the volume of the smaller cube is 210.
This is because the base area is 15*14. Multiply this by the height, 16, then you get 210.
The volume of the second cube is 25,100. This is because 15+16 is 31. 31*27*30 is 25,100.
If you add both of these volumes together, you're final answer is 25,310 units cubed.
Hope this helped :)
Answer:
<em>The age at which both companies charge the same premium is 44 years</em>
Step-by-step explanation:
<u>Graph Solution to System of Equations</u>
One approach to solving systems of equations of two variables is the graph method.
Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.
The annual premium p as a function of the client's age a for two companies are given as:
Company A: p= 2a+24
Company B: p= 2.25a+13
The graphs of both functions are shown in the image below.
The red line indicates the formula for Company A and the blue line indicates the formula for Company B.
It can be seen that both lines intersect in the point with approximate coordinates of (44,112).
The age at which both companies charge the same premium is 44 years
Answer:
multiplication
Step-by-step explanation:
it seems the best