The volume of the composite solid is 645.97 cubic cm
<u>Step-by-step explanation:</u>
Given that,
The side of the cube = 8cm
Diameter of the hemisphere= 8cm
Radius = 4cm
Volume of cube = 8 x 8 x 8
= 512 cubic cm
Volume of hemisphere= (2/3) π (4 x 4 x 4)
= (2/3) π (64)
= (2/3) (3.14) (64)
= 133.97 cubic cm
Total volume = 512 + 133.97
= 645.97 cubic cm
The volume of the composite solid is 645.97 cubic cm
Area of entire trapezoid = <span>((sum of the bases) ÷ 2) • height
Trapezoid Area = (51 / 2) * 26
</span><span>Trapezoid Area = 663
UN-shaded triangle area = .5 * base * height
</span><span>UN-shaded triangle area = .5 * 23 * 26
</span><span>UN-shaded triangle area = 299
SHADED Trapezoid Area = 663 -299
</span><span>SHADED Trapezoid Area = 364
</span>
Answer:
20,442,240 account numbers are possible.
Step-by-step explanation:
The first character has 10 possible values.
The next 2 has 26 * 26 = 676 possible combinations.
The last 4 has 9*8*7*6 = 3024 possible combinations.
So the answer is 10 * 676 * 3024
= 20,442,240.
Answer:
the area is 384 in.
Step-by-step explanation:
split the figure in two pieces
12 x 12 = 144 in.
20 x 12 = 240 in.
144 + 240 = 384 in.
the total Area of the figure Is 384 in.
Answer:
y = -6x + 7
Step-by-step explanation:
In this question, we need to find the equation of a line with the given information.
We know that the line passes through (2, -5).
We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.
To make it simpler to understand, we can change the equation into slope format:
y = -6x + 6
This means that our new line should have a slope of -6.
With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.
Plug in your slope and coordinates to the y = mx + b equation and solve for b:
-5 = -6(2) + b
-5 = -12 + b
Add 12 to both sides.
7 = b
Our y-intercept would be b.
Now, we can plug in all our information to get our new equation:
y = -6x + 7
Your answer would be y = -6x + 7
