Answer:
A can paint in 3days and B in 6 days
Step-by-step explanation:
From the question we were told
Person A can paint the neighbors house 2 times as fast as Person B
Let A only paint the neighbors house in X days
Let B only paint the neighbors house in 2X days
If we express the given information from the question in terms of fraction we have,
1/X + 1/2X = 1/2
3/2X = 1/2
if we cross multiply we have
6= 2X
X= 6/2
X= 3
Then A can paint the house in 3 days and B in 2(3)= 6days.
<span>In </span>mathematics<span>, a </span>matrix<span> <span>(plural </span></span>matrices) is a
rectangular array of numbers, symbols, or expressions, arranged in rows and
columns.
Given that
E = [ 1 2]
<span>A = | 3
0|</span>
<span> | 2
-1 |</span>
<span>2EA = 2 [1 2] | 3 0|</span>
<span> | 2 -1 |</span>
<span>2EA = [ 14
-4]</span>
<span> </span>
Answer:
NO
Step-by-step explanation:
Look at the figure attached below, we know that the area of the cone is the sum of area of circle part and cone part of the figure.
to find the surface area of the cone, first measure the radius of the base and find the area of the circle part by formula 
. Then measure the side (slant height) length of the cone part and find the area of the cone part by the formula 
.
Now the surface area of the cone is circumference of the circle plus area of the cone part.
i.e. 
From the above discussion we concluded that surface area of the cone does not depend only on the circumference of the base but also we need side length of the cone part as well thus <em>all cones with a base circumference of 8 inches will </em><em>not </em><em>have the same surface area.</em>
<em />
Answer:
Step-by-step explanation:
Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.
When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.
Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?
What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!
Putting all of this together gives us:
z = |mag|*(cos(angle) + isin(angle))
= 2*cos(270°) + isin(270°)).
To verify, let's consider what cos(270°) and sin(270°) are.
If you graph cos(x) and look at 270°, you get 0.
If you graph sin(x) and look at 270°, you get -1.
So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.
