Answer:
56 - 9π
Step-by-step explanation:
To find the area of the shaded region, you must find the area of the rectangle then subtract the area of the circle inside.
Area of the Rectangle: length x width
8*7=56
Area of the circle: πr^2
π*3^2 = 9π
Area of shaded region = 56 - 9π
By definition and according to Google:
"Irrational numbers<span> cannot be represented as terminating or repeating decimals."
So the answer to your question would have to be 'no' as calculators were designed to give us approximate answers when dealing with irrational numbers.
It would be hard to guess whether a large number produced by a calculator is irrational or not given that fact that many rational numbers can be incredibly long.
</span>
Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
To solve this we are going to use a conversion factor. We know that 1 BTU per hour is approximately 778 foot-pounds of energy per hour, so our conversion factor will be:
.
Now we just need to multiply <span>4000 BTU by our conversion factor:
</span>
<span>
We can conclude that the furnace released </span><span>
3,112,000 foot pounds of energy in one hour.</span>
The answer is the 3rd option
30-60-90 triangle for reference
Remember soh cah toa
O:opposite, a:adjacent, h:hypotenuse
S:sin c:cosine t:tangent
Hope this helped :)
