Answer:
Kristin bought 5 plain shirts and 2 fancy shirts.
Hope this helps!
Answer:
x = 50°
x = 70°
Step-by-step explanation:
A right angle is indicated by a small box.
The angles shown are right angles = 90° each. Therefore:
✔️x + 40° = 90°
Subtract 40° from each side
x = 90° - 40°
x = 50°
✔️x + 20° = 90°
Subtract 20° from each side
x = 90° - 20°
x = 70°
Answer:
c
Step-by-step explanation:
3⁶ * 4² * 12 = 3⁶ * 4² * 4*3 = 3⁷ * 4³
3³ * 4 * 5
GCF= 3³ * 4
Only common factor with minimum power
Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)
In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:
Now we can simplify that:
And we know that:
cos^2(x) + sin^2(x) = 1
then:
Answer:
384π
Step-by-step explanation:
From the diagram,
Diameter ( d ) = 16
Height ( h ) = 16
To find : Surface area of Cylinder = ?
Radius ( r ) = ?
Formula : -
r = d / 2
r = 16 / 2
r = 8
Formula : -
Surface area of Cylinder = 2πr ( r + h )
Surface area of Cylinder = 2πr ( r + h )
= 2π x 8 ( 8 + 16 )
= 16π x 24
Surface area of Cylinder = 384π
