Our first step is to find the area of the wall
the area of a rectangle is: lxw
1. plug in our values: length: 9.3 - width: 8.125
9.3x8.125 = area of the wall
2. multiply and solve for the area of the wall:
9.3x8.125 = 75.5625 square feet
now that we found the area of the wall we need to compare that to our mural
our mural is 100 square feet and our wall is 75.5625 square feet
therefore our wall has a smaller area than our mural meaning our mural will NOT fit on the wall
Answer:
5x − 4 = 3x + 8
5x - 4 <em>+ 4</em> = 3x + 8 <em>+ 4</em>
5x = 3x + 12
5x <em>- 3x</em> = 3x + 12 <em>- 3x</em>
2x = 12
2x <em>/ 2</em> = 12 <em>/ 2</em>
x = 6
I tink it is 600$ i hope i get it corect...................................
Answer:
10.63
Step-by-step explanation:
The distance between two points is sqrt((difference between y-values)^2 + (difference between x-values)^2) -->
sqrt(8^2 + 7^2) =
sqrt(64 + 49) =
sqrt( 113) =
10.630145 -->
10.63
Answer:
388.5yd²
Step-by-step explanation:
We have Triangle TUV
In the question, we are given already
Angle U = 32°
Angle T = 38°
Angle V = ???
Side t = 31yd
Side u = ?
Side v = ?
Area of the triangle= ?
Step 1
We find the third angle = Angle V
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (32 + 38)°
= 180° - 70°
Angle V = 110°
Step 2
Find the sides u and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle TUV
t/ sin T = u/ sin U = v/ sin V
We have the following values
Angle T = 38°
Angle U = 32°
Angle V = 110°
We are given side t = 31y
Finding side u
u/ sin U= t/ sin T
u/sin 32 = 31/sin 38
Cross Multiply
sin 32 × 31 = u × sin 38
u = sin 32 × 31/sin 38
u = 26.68268yd
u = 26.68yd
Finding side x
v / sin V= t/ sin T
v/ sin 110 = 31/sin 38
Cross Multiply
sin 110 × 31 = v × sin 38
v = sin 110 × 31/sin 38
v = 47.31573yd
v = 47.32yd
To find the area of triangle TUV
We use heron formula
= √s(s - t) (s - u) (s - v)
Where S = t + u + v/ 2
s = (31 + 26.68 + 47.32)/2
s = 52.5
Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)
Area of the triangle = √150967.6032
Area of the triangle = 388.5454973359yd²
Approximately to the nearest tenth =388.5yd²