Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x 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 VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
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4x = 3y - 8
4 4
x = ³/₄y - 2
-16x + 4y = 32
-16(³/₄y - 2) + 4y = 32
-16(³/₄y) + 16(2) + 4y = 32
-12y + 32 + 4y = 32
-12y + 4y + 32 = 32
-8y + 32 = 32
- 32 - 32
-8y = 0
-8 -8
y = 0
x = ³/₄y - 2
x = ³/₄(0) - 2
x = 0 - 2
x = -2
(x, y) = (-2, 0)
Answer: 13.69
Step-by-step explanation:
Multiply 82.14 by 100 to make it a whole number; since you're modifying the number, you must also multiply 6 by 100 in order to keep it balanced.
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Let's begin.
8214/600=13.69
600
----------
221'4
1800
--------
414'0
3600
--------------
540'0
5400
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Answer:
she sold it for $84 and made $14
Step-by-step explanation:
take 20% of 70 add it to 70 and bam answer
