Answer:
the total area is 15.6 square units
Step-by-step explanation:
hello,
you can find the total area dividing the shape into two known shapes
total area= area of the trapezoid +area of the semicircle
then
step one
find the area of the isosceles trapezoid using
where
a is the smaller base
b is the bigger base
h is theheight
A is the area
let
a=2
b=5
h=4
put the values into the equation
Step two
find the area of the semicircle
the area of a circle is given by
but, we need the area of half circle, we need divide this by 2
now the diameter of the semicircle is 2, put this value into the equation
find the total area
total area= area of the trapezoid +area of the semicircle
so, the total area is 15.6 square units
Have a good day.
Answer:
m∠MON = 15°
Step-by-step explanation:
The given parameters are;
m∠LON = 77°
m∠LOM = 9·x + 44°
m∠MON = 6·x + 3°
By angle addition postulate, we have;
m∠LON = m∠LOM + m∠MON
Therefore, by substituting the known values, we have;
∴ 77° = 9·x + 44° + 6·x + 3°
77° = 9·x + 44° + 6·x + 3° = 15·x + 47°
77° = 15·x + 47°
77° - 47° = 15·x
15·x = 77° - 47° = 30°
15·x = 30°
x = 30°/15 = 2°
x = 2°
Given that m∠MON = 6·x + 3° and x = 2°, we have;
m∠MON = 6 × 2° + 3° = 12° + 3° = 15°
m∠MON = 15°.
Answer:
that is true comunitive property
Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of 
is 
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
Answer:
Step-by-step explanation:
To factor an expression you have to first find the highest common factor (HCF) of the numbers in the expression. You divide them by their HCF, bracket it and place the HCF outside the bracket.
To check if it is factored properly you can do the opposite of what you just did by clearing the bracket.
9 (7 + 9)
(9 x 7) + (9 x 9)
= 63 + 81
