11. 8 * 18 =
144 in³, Option D
12. Half the height of 8 cm is 4 cm. Volume = 4 * 6 * 10 =
240 cm³, Option D
13. Double the dimensions you get 8 cm for the height, 6 cm for the radius. Then plug in. V = pi * (6)² * 8 >> pi * 36 * 8 =
288pi or ≈ 904.78, Option C
14. Half of all the dimensions are 1 in, 4 in, and 3 in. 1 * 4 * 3 =
12 in³, Option B
15.
![\frac{10}{16} = \frac{x}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B16%7D%20%3D%20%20%5Cfrac%7Bx%7D%7B18%7D%20%20)
>> 16x = 180 >> x = 11.25
so Option B
16. Option D, 10 cm.
17. Option C, 8.5 in
18. Option B. 10.2 km
19. Option D. 0.82
20. cos 30 = b / 11.5 >> b = 11.5(cos (30)) =
9.96 m, Option C.
The final price of the item is $22,644
The initial discount of 10% leaves the price at 90% of the retail value:
![\frac{x}{34000} = \frac{90}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B34000%7D%20%20%3D%20%20%5Cfrac%7B90%7D%7B100%7D%20)
cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:
![\frac{x}{30600} = \frac{74}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B30600%7D%20%20%3D%20%20%5Cfrac%7B74%7D%7B100%7D%20)
cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644
Answer:
Step-by-step explanation:
The square indicates that the total angle is 90 degrees so
d+59=90
d=90-59
d=31 degrees
Answer:
140
Step-by-step explanation:
so where trying to find the unknown total of coins so where gonna call that x
then we will make an equation 5% * x= 7
then to make it easier to solve we will convert 5% to a decimal .05
and finally to find the answer we will divide both sides by .05
this gives us x= 140 which is the answer
15²-9²= x² use Pythagoras' theorum and square the two smaller sides to get the square of the hypotenuse (the diagonal) then rearrange this to get the above calculation