Answer/Step-by-step Explanation:
Circumference of a circular object = πd
Where,
π = 3.14,
d = diameter
Circumference of hula pop with diameter of 35 in:
Circumference = πd = 3.14*35 = 109.9 in
Diameter of circular pond with a circumference of 556 ft:
556 = 3.14*d
Divide both sides by 3.14
556/3.14 = d
177.07 = d
d ≈ 117 in
Circumference of magnifying glass with a diameter of 5.2 in:
Circumference = πd = 3.14*5.2 = 16.328 ≈ 16.4 cm
Diameter of car tire with a circumference of 71.6 in:
71.6 = 3.14*d
Divide both sides by 3.14
71.6/3.14 = d
22.80 = d
d ≈ 22.8 in
Answer:
24/10
Step-by-step explanation:
From the diagram
Opposite BC = 24cm
Adjacent = AC = 10cm
tan theta = opposite/adjacent
Substitute
tan <A = BC/AC
tan <A = 24/10
Hence the equivalent ratio is 24/10
Implicit expression refers to equation that are not strictly expressed in terms of y and x separately. In this case, the derivative of expression
<span>sqrt(xy)=x^2y+1 is
sqrt x * 0.5 y ^-0.5 dy + </span>sqrt y<span> * 0.5 x ^-0.5 dx= x^2 dy + 2xy dx
dy (x^2 - 0.5 (</span>x/y) ^0.5) = dx (2xy - 0.5 (y<span>/x)^0.5)
dy/dx = </span>(2xy - 0.5 (y/x)^0.5) / (x^2 - 0.5 (<span>x/y) ^0.5)</span>
Answer:
B. -11 + 7
Step-by-step explanation:
Minus a negative translates to add.
-11 - (-7) = -11 + 7
Use the identity
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x = 1 + tan^2x - 2 tan x
0 = -2 tanx
tan x = 0
x = 0, π
π is an extraneous root because sec 180 = -1
So the answer is 0 degrees
