Answer:
- The side opposite ∠L is NM.
- The side opposite ∠N is ML.
- The hypotenuse is LN.
Step-by-step explanation:
Even a crude drawing can be helpful as you sort this out. (See attached.)
In general, the side opposite an angle <u>will not</u> have the letter of the angle in its name. Similarly, a side adjacent to the angle <u>will</u> have the angle letter in its name.
The statements that apply are ...
- The side opposite ∠L is NM.
- The side opposite ∠N is ML.
- The hypotenuse is LN. (opposite right angle M)
14 because a negative minus a negative is a positive; you add a line and change the sign
In this case you divide 170 by 7 which = 24.29 so 24.29 is your answer, good luck.
See the attached figure to better understand the problem
let
L-----> length side of the cuboid
W----> width side of the cuboid
H----> height of the cuboid
we know that
One edge of the cuboid has length 2 cm-----> <span>I'll assume it's L
so
L=2 cm
[volume of a cuboid]=L*W*H-----> 2*W*H
40=2*W*H------> 20=W*H-------> H=20/W------> equation 1
[surface area of a cuboid]=2*[L*W+L*H+W*H]----->2*[2*W+2*H+W*H]
100=</span>2*[2*W+2*H+W*H]---> 50=2*W+2*H+W*H-----> equation 2
substitute 1 in 2
50=2*W+2*[20/W]+W*[20/W]----> 50=2w+(40/W)+20
multiply by W all expresion
50W=2W²+40+20W------> 2W²-30W+40=0
using a graph tool------> to resolve the second order equation
see the attached figure
the solutions are
13.52 cm x 1.48 cm
so the dimensions of the cuboid are
2 cm x 13.52 cm x 1.48 cm
or
2 cm x 1.48 cm x 13.52 cm
<span>Find the length of a diagonal of the cuboid
</span>diagonal=√[(W²+L²+H²)]------> √[(1.48²+2²+13.52²)]-----> 13.75 cm
the answer is the length of a diagonal of the cuboid is 13.75 cm
Answer:
225
Step-by-step explanation:
If you divide 675 you'll get 225. 225 times 4 will be 900. But 225 times 3 will be 674. So each 1/4 will be 225.
