Answer:
3
Step-by-step explanation:
-4c - 2 = 10 - 8c
-4c + 8c = 10 + 2
4c = 12
c = 12/4
c = 3
Area of rectangle = 10cm²
We know that, Area of rectangle = lb
lb = 10
Let l = x cm. Then b = 10/x cm.
Perimeter of rectangle

But, this rectangle can't have 12 as its perimeter because Sides have to be factors of 10.If l = 5cm and b = 2cm then it will have perimeter 14cm.If l = 10cm and b = 1cm then it will have perimeter 22cm.
Hope this will help you.
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Its the 2nd one becuase 2(-1)+2=0 witch is greater than -4.
The area of the counter top is 16 ft by 3 ft so 16 x 3= 48. The area of the counter top is 48 ft squared.Then you have to convert it to meters squared, 48 x 0.092903 = 4.459244. Then multiply that by 28 to get your answer.4.459244 x 28 = 124.861632. The total cost is about $124.86
Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.