Answer:
333cm^2
Step-by-step explanation:
Divide the compound shape into the two separate parts, the rectangle and the triangle.
The rectangle measuring 18cm by 14cm, getting the area, use the formula length*width. This is 18*14= 252cm^2.
Then the triangle has the height, 9cm and base 18cm, finding the area use the formula, 1/2*base*height.
1/2*9*18= 81cm^2.
Add the two, 252+81= 333cm^2.
They are about 141.42 feet away from the welcome center
Answer:
I'm pretty sure it would be base x height divided by 2 so 20×6÷2
Answer:
x = 3
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠TRQ is an external angle and ∠RTS, ∠RST are interior angles, hence
45x = 25x + 57 + x
45x = 26x + 57 ( subtract 26x from both sides )
19x = 57 ( divide both sides by 19 )
x = 3
Answer:
π − 2
Step-by-step explanation:
Graph of the region:
desmos.com/calculator/pcascl0frf
If we integrate with respect to x:
∫₀² (y − 0) dx
∫₀² sin⁻¹(x/2) dx
But we want to integrate with respect to y. Let's start by finding the new limits of integration.
y = sin⁻¹(x/2), so when x = 0, y = 0. When x = 2, y = π/2.
Next, we need to find x in terms of y.
sin y = x/2
x = 2 sin y
So the integral with respect to y is:
∫₀ᵖⁱ² (2 − x) dy
∫₀ᵖⁱ² (2 − 2 sin y) dy
Integrating:
(2y + 2 cos y + C) |₀ᵖⁱ²
(π + 2 cos (π/2) + C) − (0 + 2 cos 0 + C)
(π + 0 + C) − (0 + 2 + C)
π − 2