Answer:
4,050 ft^3
Step-by-step explanation:
Separate the figure into a cube and a square pyramid.
Volume of the cube (a^3):
15 x 15 x 15 = 3,375
3,375 ft^3
Volume of the square pyramid (lwh/3):
15 x 15 x 9/3 = 675
675 ft^3
Add the volumes of both figures:
675 ft^3 + 3,375 ft^3 = 4,050
The volume of the whole figure is 4,050 cubic feet.
Hope this helps!
Answer: 4 + 16i
<u>Step-by-step explanation:</u>
(2 + 2i)(5 + 3i)
= 2(5 + 3i) + 2i(5 + 3i) <em>combine the two factors by multiplication</em>
= 10 + 6i + 10i + 6i² <em>distribute</em>
= 10 + 6i + 10i + 6(-1) <em>substitute -1 for i²</em>
= 4 + 16i <em>add like terms (6i + 10i) </em>
Answer:
This answer is based on that I don't know what that 2 is for
Step-by-step explanation:
There are many different answers for this question
Area is l times w so 4 times 4 = 16 the lengths could be 4
If one of the sides is 2 then the length must be 8 because 8 times 2 is 16
Answer:
C
Step-by-step explanation:
General Form of an equation of a line is given by:
Where,
m is the slope, and
b is the y-intercept (point where line cuts the y-axis)
Also, parallel lines have equal slopes.
Equation of first plane is given as
Comparing this with general form of a line, we see that 3.67 is the slope and 4.81 is the y-intercept.
<em>The </em><em>second plane </em><em>is going </em><em>parallel</em><em> to this. So slope should be same. Hence </em><em>second plane has slope of 3.67. </em><em>We can write:</em>
<em></em>
<u>To find the equation of second plane</u>, we need to solve for c. Also, a point given for second plane is , substituting these values into the equation we got, we get the value of c:
We already know m and now we know c, so we can write final equation as:
Answer choice C is right.