Answer:
- Exact Area = 210.25pi - 210
- Approximate Area = 450.185
The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14
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Explanation:
Use the pythagorean theorem to find the length of the hypotenuse
a^2 + b^2 = c^2
20^2 + 21^2 = c^2
400 + 441 = c^2
c^2 = 841
c = sqrt(841)
c = 29
The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.
The area of the circle is...
A = pi*r^2
A = pi*(14.5)^2
A = pi*210.25
A = 210.25pi
Which is exact in terms of pi
We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.
So the shaded region is therefore 210.25pi - 210 square inches
This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.
Answer:
1440 yd³
1200 yd³
Step-by-step explanation:
A local aquarium purchased a new turtle tank for their giant turtle exhibit for their giant turtle exhibit.
By using the dimensions 15yd by 12yd by 8yd and the shape of the tank is cubooid
We can determine volume by using the formula i.e
V = (Length) × (Width) × (Height),
then the volume of the tank will be
V = 15 × 12 × 8 =
V=1440 yd³.
Now , by using dimensions 15 yd by 8 yd by 10 yd
The volume will be,
V = 15 × 8 × 10 = 1200yd³
Easy question.
So, the slope is -x and the y-intercept is at -4.
y = -x - 4
Use this equation and you will find:
y = -2 - 4
y = -6
Answer: (2, -6)
Step-by-step explanation:
In figure below what???