which of these story problems describes the sum 19 + (-12)? check all that apply. show your work to justify your answer.
1
2. is the right answer
3
Answer: b=4
Step-by-step explanation: Let's solve your equation step-by-step.
4b+5=1+5b
Step 1: Simplify both sides of the equation.
4b+5=5b+1
Step 2: Subtract 5b from both sides.
4b+5−5b=5b+1−5b
−b+5=1
Step 3: Subtract 5 from both sides.
−b+5−5=1−5
−b=−4
Step 4: Divide both sides by -1.
−b
−1
=
−4
−1
b=4
4. positive. 5.zero. 6.undefined. 7. negative
The area of the given shape is 220.24 square cm.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the rectangle + Area of the quarter circle.
The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.
The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.
Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.
200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.
Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.
So the quarter circle covers an area of 50.24 square cm.
Step 2;
Area of given shape = Area of the rectangle + Area of the quarter circle
Area of given shape = 170 + 50.24 = 220.24 square cm.
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