Answer:
The distance of the point P(-6, 8) from the origin is
OP2=(-6)2+82=36+64=100⇒OP=√100=10 units
The formula for circumference is C = 2πr, where r is the radius of the circle. However, the radius is half the diameter, so the circumference could also be calculated using the formula C = πd, where d is the diameter of the circle. π is commonly shortened to 3.14.
If the diameter of the circle is 6 feet, an estimate of the circle's circumference is 6 times 3 feet or 18 feet.
Answer:
18 ft
Answer:
45.650 centimeters
Step-by-step explanation:
The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height of the vase? Give your answer to 3 decimal places
Given that :
Height of vase = 45.7 when rounded to the nearest tenth
The shortest possible height of the vase : will be 45.65, this is because, the subsequent digit (hundredth) after the tenth digit is the figure rounded to give a tenth digit of 7
From the we know that the tenth digit before rounding is 7 - 1 = 6
And smallest possible value the hundredth placed digit could have in other to be rounded to 1 is 5.
To three decimal place, the thousandth placed value could take the least possible value in a digit series, which is 0
Hence, the shortest possible height of the vase = 4.650
If eg is the median, that means
5x-17=3x+12x=18x=9
Answer:
9) C. 35 + 0.12x = 44.36
10) B
11) A. 32
Step-by-step explanation:
9)
44.36 is the TOTAL so the equations have to EQUAL it.
PER mile means it's a variable so it's 0.12x:
35 is a constant so there's no variable attached:
35 + 0.12x = 44.36
10)
B because you have to cancel the y values and to do that, you multiply the 1st equation by 3.
11)
0.1x + 0.25(46 - x) = 6.70
0.1x + 11.5 - 0.25x = 6.7
-0.15x = 6.7 - 11.5
-0.15x = -4.8
x = 32