Answer:
B he used the incorrect formula for the volume of the prism
You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
Answer:
Late response, sorry. It is 750 meters.
Step-by-step explanation:
An easy method to save time is to just divide the distance by time to find what amount per second it can run. In this case, you have 120 and 4 to work with. Divide and you'll get 30 meters per second. Then, multiply 25(your seconds) by 30(the meters it runs per second) to get your answer.
Well if the probability of it landing with the sticker side down is 40% then it landing with the sticker side up is 60% and 0.6 • 40 = 24 times
Answer:
x=12°
Step-by-step explanation:
3x+6+48=90
3x+54=90
3x=90-54
3x=36
x=36/3
x=12
x=12°