Answer:
C
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
sum the 4 exterior angles and equate to 360
8x + 9x + 5 + 5x + 4 + 9x + 3 = 360 , that is
31x + 12 = 360 ( subtract 12 from both sides )
31x = 148 ( divide both sides by 31 )
x ≈ 11.23 ( to 2 dec. places )
then exterior angle at B is
9x + 3 = 9(11.23) + 3 ≈ 104° → C
The answer is A.
Explanation:
Since this is a right triangle you can use The formula: leg squared plus leg squared = hypotenuse squared
So lets square the hypotenuse and first leg
And you get 85 hypotenuse and 49 leg
So just subtract 49 from 85 to get the other leg squares
You get 36 so now just square root it
Square root of 36 is 6
So the best answer is 6
Hope this helps some.
Answer:
100
Step-by-step explanation:
This is formula fot completing the square:
(b/2)^(2)
(-20/2)^(2)
100
The question is asking for the sector arc length WZ,which can be find through the sector formula:
Since both cz and wz are the radius, they have the same length
cz=wz=5 in.
In this case,
2丌(5)× 122°/360°
=10丌×61/180
=61/36 ×丌
≈5.32in.
Thus 5.32in. is the answer.
Hope it helps!
Answer:
$3100 is invested at 9%
$4900 is invested at 11%
Step-by-step explanation:
Let's take "x" be the amount invested at 9%.
(x + 1800) is invested in another account at 11%.
The interest amount earned by the two accounts is $818.
Here we can use the simple interest formula and find the amount invested in each account.
Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.
Simple interest =
0.09x + 0.11(x+1800) = 818
Now we have to simplify and find the value of x .
Use the distributive property and simplify the second term.
0.09x + 0.11x + 198 = 818
0.2x + 198 = 818
0.2x =818 - 198
0.2x = 620
x = 620/0.2
x = 3100.
So $3100 is invested at 9%
x + 1800 = 3100 + 1800
= $4900
$4900 is invested at 11%
Hope this helped.
