Answer:
Step-by-step explanation:
Base is an equilateral triangle
slant hight= 12 in
side of base= 5 in
so, perimeter of base = 3(5)=15 in
lateral area = 1/2 pl =1/2 (15)(12) in
=90 in²
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hope it helps..
have a great day!!
Two forces, one of 120 pounds and the other of 200 pounds, act on the same
1 answer:
9514 1404 393
Answer:
-8.21°
Step-by-step explanation:
The horizontal and vertical components of the forces are ...
(120; 30°) = (103.923, 60}
(200; -30°) = (173.205, -100}
Then the resultant is ...
(103.923 +173.205, 60-100) = (277.128, -40)
and the resultant direction is
arctan(-40/277.128) = -8.21°
_____
The polar coordinates (A; β) can be translated to rectangular coordinates by ...
(A; β) = (A·cos(β), A·sin(β))
__
<em>Additional comment</em>
The semicolon in (A; β) signifies the ordered pair is polar coordinates (magnitude; angle). The comma in (x, y) signifies the ordered pair is rectangular (Cartesian) coordinates. This notation is borrowed from the GeoGebra app, a geometry graphing/calculating program. It avoids some confusion. Personally, I prefer the notation A∠β to signify a magnitude and direction in polar coordinates.
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Answer:
Step-by-step explanation:
Let . We have that
if and only if we can find scalars
such that
. This can be translated to the following equations:
1.
2.
3.
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are , but note that for this values, the third equation doesn't hold (3+2 = 5
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
- A={1,2,3,8}
B={x|x is an even whole no less than 9}
- B={2,4,6,8}
Now