Answer:
- m∠C = 43.6°, m∠B = 107.4°, b = 51.2
Step-by-step explanation:
<u>Use the law of sines:</u>
- a / sin ∠A = c / sin ∠C
- 26 / sin 29° = 37 / sin ∠C
- sin ∠C = 37 sin 29° / 26
- sin ∠C = 0.6899
- m∠C = arcsin 0.6899
- m∠C = 43.6°
<u>Find the missing angle:</u>
- m∠B = 180° - 29° - 43.6° = 107.4° (rounded)
<u>Use the law of sines to find the length of b:</u>
- a / sin ∠A = b / sin ∠B
- 26 / sin 29° = b / sin 107.4°
- b = 26 sin 107.4° / sin 29°
- b = 51.2 units (rounded)
The largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'
<h3>
Scale drawing</h3>
Scale drawing involves drawing a drawing in a different size and dimension that is proportional to the original dimension
<h3>Dimensions</h3>
The dimensions of the design for the farm scene painting is given as:

The dimensions of the wall is given as:

Convert feet to inches


Divide the dimensions of the wall by the painting to get the scale ratios (k)


Also, we have:


Remove decimal (do not approximate)

By comparison;
21 is less than 24
Multiply 21 by the dimensions of the painting
So, we have:


Hence, the largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'
Read more about scale drawings at:
brainly.com/question/810373
Answer: can explain that a little better please
Step-by-step explanation:
Answer: 0.4x + 0.1
Step-by-step explanation: Distribution.
0.5(x+0.1)-0.1(x-0.5)
0.5 times x = 0.5x
0.5 times 0.1 = 0.05
First step: 0.5x + 0.05
Distribute next part
-0.1 times x= -0.1x
-0.1 times -0.5 = 0.05
-0.1x + 0.05
Put together: 0.5x + 0.05 -0.1x + 0.05
Combine like terms:
0.5x -0.1x = 0.4x
0.05 + 0.05 = .1
Answer: 0.4x + 0.1
0.2 miles per minute.
3.6 divided by 18 equals 0.2/