Answer:
A = 1/2(2πr)(r)
Explanation:
The circumference of the circle, 2πr, is the measure completely around the circle. When the pieces of the circle are rearranged, half of this circumference will be on the top of the parallelogram and half will be on the bottom. This means the base will be 1/2(2πr).
The approximate height of the parallelogram is the radius of the circle; this makes the area
A = 1/2(2πr)(r)
Answer:
The side of the square is 5.971 cm
Step-by-step explanation:
If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of
cm, then it's diagonal have the length of
cm. Using the circle's area we can find the diagonal of the square, as shown below:

Since the diameter of the circle is the same as the diagonal of the square, then:

The side of the square is 5.971 cm
9514 1404 393
Answer:
x° = 29°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...
Sin = Opposite/Hypotenuse
sin(x°) = 12/25
x° = arcsin(12/25) ≈ 28.69°
The value of x is about 29.
You have the starting price of $1.99. To get the increased price, divide 1.99 by .56 (.56 is the decimal form of 56%). You would get $3.55. This is for the year 2007. So for 2008, divide 3.55 by .42. The answer is $8.45. You can check the answers by multiplying the answers you go the the percentage. Ex. 8.45* .42=3.55 (rounded)
We know that
[area of rectangle]=length*width
area=2g²<span>+34g+140
</span><span>width =2g+14
</span>
step 1
find the roots of 2g²+34g+140
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
g=-10
g=-7
so
2g²+34g+140=(2g+14)*(g+10)
therefore
the length is (g+10)
the answer isthe length is (g+10)