Answer:
29
you have to solve the brackets first(6-3=3)
Then solve the division (4/2=2)
lastly the addition (5+4=9)
so we have 9×3=27
27+2=29.
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
Answer:
a. 9.2 x 10-2 M
Step-by-step explanation:
i took test
Answer:
The answer to your questions are in bold
Step-by-step explanation:
a)
C = ![\left[\begin{array}{ccc}-6&6\\-2&4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%266%5C%5C-2%264%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= -24 + 12
= -12
b) -1 7 -4 -1 -1 - 4 7 - 1 - 5 6
-2 -6 -8 8 = -2 - 8 -6 + 8 -10 2
2 -3 2 -7 2 + 2 -3 - 7 4 -10
-1 10 -6 5 -1 - 6 10 + 5 -7 15
