Answer:
Step-by-step explanation:
1) P= Area of Circle/ Area of large rectangle
Area of the circle = pi·r² = pi·2²=4 pi ft.²
Area of large rectangle= l·w -12·10 =120 ft.²
P = 4pi/120 rewrite 120 as 4·30
P= 4 pi/4*30 = pi/30 = 3.14/40 ≈ .1047 ≈10% (because .1047·100 =10.47≅10)
2) P = Area of smaller rectangle/ Area of large rectangle
Area of smaller rectangle = l·w = 2·4 =8 ft.²
Area of large rectangle=l·w = 12·10=120 ft²
P= 8/120 ≅ .0666≅ 7% (because .0666·100 =6.66≅7)
3) P= Not the circle or smaller rectangle/ Area of large rectangle
Not the circle or smaller rectangle area
= Area of large rectangle - Area of circle -Area of smaller rectangle
= 120 -4·pi -8 = 120 - (4· 3.14) -8 = 99.4362939 ft²
Area of large rectangle = l·w = 12·10 =120 ft²
P = 99.4362939 /120 ≅ .8286 ≅83% (because .8286·100 =82.86≅83)
Answer:
x = 2
Step-by-step explanation:
3.x + y = 11 (eq 1)
Y = x + 3 (eq 2)
sub 2 into 1
3x + x + 3 = 11
4x + 3 = 11
4x = 8
x = 2
When two functions vary inversely with each other, they are usually in the form y = k / x, where k is the constant of proportionality.
To find the equation for the inverse variation, find the constant of proportionality. Do that by substituting the values for x and y into y = k / x and solving for k.
y = k / x
4 = k / 6
24 = k
Answer:
The constant of proportionality is 24. The equation for the inverse variation is y = 24/x.
Answer: B=16 and m=6
Step-by-step explanation:
in y=mx+b the number next to x is always the m/slope and the number without a variable is always the b.
