Answer:
65.3 cm
Step-by-step explanation:
The law of sines can be used for this.
g/sin(G) = f/sin(F)
g = (37 cm)sin(124°)/sin(28°) ≈ 65.3 cm . . . . multiply by sin(G)
The length of g is about 65.3 cm.
Answer:
96 one bedroom homes
64 two bedroom homes
32 three bedroom homes
Step-by-step explanation:
If x is the number of 1 bedroom homes, y is the number of 2 bedroom homes, and z is the number of 3 bedroom homes:
x + y + z = 192
x = y + z
x = 3z
Solve the system of equations using substitution or elimination. Using substitution:
x + x = 192
2x = 192
x = 96
z = x / 3
z = 32
y = x − z
y = 64
The Answer Is 6x
Hope This Helps
The cost of the mixture is $69 *$1 = $69. If all 69 pounds were peanuts, the cost would be 69*$0.99 = $68.31, which is $0.69 less. Each pound of walnuts used instead of peanuts adds $0.03 to the cost of the mixture, so there were $0.69/$0.03 = 23 pounds of walnuts.
<span>_____ </span>
<span>Let w represent the number of pounds of walnuts in the mixture. Then 69-w is the number of pounds of peanuts. The cost of the mixture will be </span>
<span>1.02w + 0.99(69-w) = 1.00*69 dollars </span>
<span>0.03w + 68.31 = 69.00 </span>
<span>w = (69.00 - 68.31)/0.03 = 0.69/0.03 = 23</span>
Answer:
It will cost $79.38 to carpet the shape
Explanation:
Find the diagram of the parallelogram attached
Area of a parallelogram = Base * Height
Given
Base = 8.1m
Height = 3.5m
Area of the parallelogram = 8.1*3.5
Area of a parallelogram = 28.35m²
Since 1m² = $2.80
28.35m² = x
Cross multiply
x = 28.35 * 2.80
Hence it will cost $79.38 to carpet the shape