Step-by-step explanation:
So the answer for 33+45+78 is 156.
If you want to check that, you can use inverse operations, so subtract.
156-78=78. (Check 78)
78-45=33 (Check 45 and 33)
Well, now it's checked because we used all the factors of the equation!
Answer:
A.
Step-by-step explanation:
Sub in the (x,y) points given into the equation to see if true ....you'll find A is the answer
Example point (3,95 ) 95 = -10.375 (3) + 126.125 ??
95 = 95 Check !
then try the other point ( 11,12) to be sure ....
Answer:
The area of the shaded portion of the figure is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The shaded area is equal to the area of the square less the area not shaded.
There are 4 "not shaded" regions.
step 1
Find the area of square ABCD
The area of square is equal to

where
b is the length side of the square
we have

substitute

step 2
We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):
The area of circle is equal to

The diameter of the circle is equal to the length side of the square
so
---> radius is half the diameter
substitute


Therefore, the area of 2 "not-shaded" regions is:

and the area of 4 "not-shaded" regions is:

step 3
Find the area of the shaded region
Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:
so
---> exact value
assume

substitute
52 inches - 12 inches = 40 inches
amplitude: a = 40 inches / 2 = 20
<span>f(x)=20cos(bx)+c</span>
the value of c is 32... since the centre of the has been moved up 32 units
the minimum amplitude = 32 - 20 = 12
the maximum amplitude = 32 + 20 = 52
<span>f(x)=20cos(bx)+32</span><span>
if the curve takes 6 1/4 hours from low to high tides (9:15 am to 3:30 pm) then it will take 12 1/2 hours to complete a full cycle.
adjust the period by converting 12 1/2 hours to an angle measure.
360</span>°/12 = 30°
30° / 12 = 15°
12 1/2 = 360° + 15° = 375°
f(x) = 20 cos(375°) + 32
f(x) = 20 * 0.97 + 32
f(x) = 19.4 + 32
f(x) = 51.4