Answer:
40π/3 cm^2
Step-by-step explanation:
The centerline of the shaded region has a radius of 3 +4/2 = 5 cm. Its length is 1/3 of a circle with that radius, so is ...
length of centerline = (1/3)(2π·5 cm) = (10/3)π cm
The shaded region is 4 cm wide, so the area is the product of that width and the centerline length:
(4 cm)(10/3 π cm) = 40π/3 cm^2
C 28 square meters smokejumper
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
Step-by-step explanation:
<h3>1. x² + 4 = (x+2)² </h3>
<h3> : x² + 4 = x² + 4 (Yes)</h3>
<h3>2. (2x+6)²= 4(x+3)²</h3>
<h3> : 4x²+36 = 4x² + 36 ( Yes)</h3>
<h3>3. (x-3)(x-3)= (x-9)² (NO)</h3>
<h3>beacause , True statement is</h3><h3> (x+3)(x-3)= (x-9)²</h3>
<h3>4. x²-10x+25 = (x-5)(x+5) (No)</h3>
<h3> : x²-2x+y² = (a-b)(a+b) </h3>
<h3>Therefore, its not true statement!</h3>
Answer:
- 30/91
Step-by-step explanation:
