Step-by-step explanation:
you know the formulas ?
the area of a circle is : pi×r²
the circumference of a circle is : 2×pi×r
with r being the radius, which is half of the diameter.
so, here, r = 10/2 = 5 m
area = pi×r² = pi×5² = pi×25 or 25×pi m²
circumference = 2×pi×r = 2×pi×5 = 10×pi m
for the approximation we make the calculations with pi on the calculator and round to the nearest hundredth.
area = 25×pi ≈ 78.54 m²
circumference = 10×pi ≈ 31.42 m
Step-by-step explanation:
y = (cos x)^(sin x)
Take log both sides.
ln y = ln ((cos x)^(sin x))
ln y = (sin x) ln (cos x)
Take derivative.
1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)
dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]
dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]
Your answer is correct.
Answer:
$45
Step-by-step explanation:
70 + -25 = 45
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
Answer:
24 marbles
Step-by-step explanation:
P( purple) = 2/3 = purple/total
2/3 = 16/total
Using cross products
2 * total = 3 *16
2 * total = 48
total = 24
There are 24 marbles
