Answer:
Exact form: 53/10 , Decimal form: 5.3 , Mixed number form: 5 3/10
Step-by-step explanation:
Answer:
Step-by-step explanation:
The average value theorem sets:
if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that
, where
f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4
f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4


⇒

c≅130
Answer:
The chocolate bar contains 29.2 grams of cocoa.
Step-by-step explanation:
Given that Lucy’s chocolate bar is 54% cocoa and the weight of the chocolate bar is 54 grams.
Hence, the amount of cocoa in the chocolate bar is given by
54% of 54 grams
54% percentage means 54/100 = 0.54
Hence, the amount of cocoa in the chocolate bar is

When rounded to the nearest tenth, 29.16 should be equal to 29.2
Hence, the chocolate bar contains 29.2 grams of cocoa.
Answer: b. (6,27)
Step-by-step explanation:
y=5x- 3 x=6<---- put in the equation
y=5(6)-3 <------- mulitply 5 and 6
y=30-3 <---- subtracted
y= 27. <---- y value.
Answer being (6,27)
Hope it helps :)
Answer:
28.26 cm^2
Step-by-step explanation:
Mathematically, we have the area of a sector as;
theta/360 * pi * r^2
theta is the angle subtended at the center of the circle by the sector which is 90 degrees
r is the radius of the circle given as 6 cm
Substituting these values;
90/360 * 3.14 * 6^2 = 28.26 cm^2