Answer:
Dana needs 72 feet of ribbon to make all the bows
Step-by-step explanation:
If she needs to make all the bows, she needs a total of:
18 times 4 feet = 18 * 4 = 72 feet of ribbon
Answer:
The answer to your question is x = 52° and y = 137°
Step-by-step explanation:
Process
1.- Find the value of x using the large right triangle, remember that the sum of the internal angles in a triangle equals 180°.
x + 38 + 90 = 180
x = 180 - 90 - 38
x = 52°
2.- To find y, we notice that x and y -9 are supplementary angles so their sum gives 180°.
x + y - 9 = 180
Substitution
52 + y - 9 = 180
y = 180 + 9 - 52
y = 137°
Answer:
Well I believe 1 x 649 equals 649 units as the area...
I tried my best! Hope this helps you!
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
