Answer:
Area of circle A =113.14 mm²
Area of circle b = 314.29 mm²
Area of circle C = 452.57 mm²
Area of circle A = 254.57 mm²
2.25 times
Step-by-step explanation:
Area of a circle = nr²
where n = 22/7
r = radius
Circle A's radius = 6mm
Circle B's radius = 6mm + 4mm = 10mm
Circle C's radius = 10mm + 2mm = 12mm
Circle D's radius = 12mm - 3mm = 9mm
Area of circle A = (22/7) x 6² = 113.14 mm²
Area of circle b = (22/7) x 10² = 314.29 mm²
Area of circle C = (22/7) x 12² = 452.57 mm²
Area of circle A = (22/7) x 9² = 254.57 mm²
Number of times the area of circle D is greater than that circle A = Area of circle D / Area of circle A
254.57 mm² / 113.14 mm² = 2.25 times
7(x - 2) - 3(3 + X) greater than 1
7 X - 14 - 9 - 3 x greater than 1
4 x -23 greater than 1
4 x greater than 1 + 23
x is greater than 6
Answer:
24 miles.
Step-by-step explanation:
Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.
Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is 
units.
Total number of units: 
Divide 17:
The number of miles travelled by train is 12 units:
She travelled 24 miles by train.
Answer:
1922.7 cubic inches
Step-by-step explanation:
The volume of a cylinder can be found with this formula:
V=πr^2h
The radius, r, is half the diameter.
So, 12/2=6
r=6 inches
Then, just plug the numbers in.
V=π(6)^2(17)
V=1922.65
Rounding to the nearest tenth:
V=1922.7 cubic inches
Answer:
y= -3x + 11
Step-by-step explanation:
Slope formula: y^2- y^1 divide by x^2- x^1
y^2 is -1
y^1 is 5
x^2 is 4
x^1 is 2
-1 - 5 = -6
4 - 2 = 2
-6/2 = - 3
Y-intercept: Using the slope and either of the two points, replace the <em>y</em><em>,</em><em> </em><em>m</em><em>,</em><em> </em>and <em>x</em> in y= mx+b.
Using (2, 5)
5= -3(2) + b
5= -6 + b
Add 6 to both sides in order to eliminate -6.
-6 + 6 = 0
5 + 6 = 11
11 = b
Combine your slope-intercept formula:
y= 3x + 11
