Answer
Area of the figure = 105.12 ft²
Explanation
The figure shown is a combination of a rectangle with length 10 ft. and width 8 ft., with a semicircle that has diameter 8 ft., which translates to a radius of 4 ft.
The area of the figure = (Area of the rectangle) + (Area of the semicircle)
Area of rectangle = L × W
L = Length = 10 ft.
W = Width = 8 ft.
Area of the rectangle = 10 × 8 = 80 ft²
Area of semicircle = Half of the area of a circle = ½ × πR²
π = pi = 3.14 (According to the question)
R = Radius of the semicircle = 4 ft.
Area of semicircle = ½ × 3.14 × 4² = 25.12 ft²
Area of the figure = 80 + 25.12 = 105.12 ft²
Hope this Helps!!!
Answer: s(s+4)=7, 7 shelves
Step-by-step explanation:
I think it's easiest to find these type of answers by finding the common factors of a number. First 77, they are 1×77 & 7×11.so you can have 11 rocks on 7 shelves or 7 rocks on 11 shelves. The question states the number or rocks on the shelf is more than the number of shelves, so you must have 11 rocks on 7 shelves. You know you have 77 rocks, so the equation must equal 77. I plugged 7 in for s in the equations to determine the correct answer. 7(7+4)=77.
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
<h3>How to evaluate a piecewise function at given values</h3>
In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:
<h3>r(- 3): </h3>
-3 ∈ (- ∞, -1]
r(- 3) = - 2 · (- 3) + 9
r (- 3) = 15
<h3>r(- 1):</h3>
-1 ∈ (- ∞, -1]
r(- 1) = - 2 · (- 1) + 9
r (- 1) = 11
<h3>r(1):</h3>
1 ∈ (-1, 5)
r(1) = 2 · 1² - 4 · 1 - 5
r (1) = - 7
<h3>r(5):</h3>
5 ∈ [5, + ∞)
r(5) = 4 · 5 - 7
r (5) = 13
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
To learn more on piecewise functions: brainly.com/question/12561612
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Answer:
13.3650978628
Step-by-step explanation:
Angle A=180-(Angle B+C)=180-117=63
Here,
b=BC, p=AC & AB=12
Using the relation of cos,
cosx=b/h
cos27=BC/15
15cos27=BC
Using a calculator,
BC=13.3650978628
When a circle's diameter is 1, its circumference is π.
