Let m∠CLN = x. Then m∠ALM = 3x, and m∠A = 90°-x, m∠C = 90°-3x.
The sum of angles of ∆ABC is 180°, so we have
... 180° = 40° + m∠A + m∠C
Using the above expressions for m∠A and m∠C, we can write ...
... 180° = 40° + (90° -x) + (90° -3x)
... 4x = 40° . . . . . . . . . add 4x-180°
... x = 10°
From which we conclude ...
... m∠C = 90°-3x = 90° - 3·10° = 60°
The ratio of CN to CL is
... CN/CL = cos(∠C) = cos(60°)
... CN/CL = 1/2
so ...
... CN = (1/2)CL
Let x = width
x+1 is then the length
2x+2(x+1)=66
2x+2x+2=66
4x=64
x=16
deck will be 16x17, nice for a BBQ. :)
Answer: c
given volume is 125 cc
cube root of 125 is 5
aka 5×5×5=125
and 6×5×5=150
hence answer is c
Answer:
The solve of that problem is that Hernry invested $18.000 in stocks and $6.000 in bonds.
Step-by-step explanation:
First, to explain you have to do a multiplication about 6 on three. Like three times more than bonds, the result is 18. Then you have to do a subtraction on $24.000 less $18.000, and the result is $6.000, so six is the amount on bonds. And is three times less than stocks, like the questions ask.
Answer:
Step-by-step explanation:
<h3>Given</h3>
- Sofa = s
- Love seat = l
- Chair = c
- Sofa and love seat cost = $1300
- Sofa and 2 chairs cost = $1400
- Sofa, love seat and one chair cost = $1600
<h3>To find</h3>
<h3>Solution</h3>
<u>Equations as per given are:</u>
- s + l = 1300
- s + 2c = 1400
- s + l + c = 1600
<u>Subtract equation 1 from equation 3:</u>
- s + l + c - s - l = 1600 - 1300
- c = 300
<u>Considering this in the equation 2:</u>
- s + 2*300 = 1400
- s = 1400 - 600
- s = 800
<u>Substituting s in the equation 1:</u>
- 800 + l = 1300
- l = 1300 - 800
- l = 500
<u>Answer:</u> Love seat costs $500
