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:
Jones family paid a total of $139
Step-by-step explanation:
Smith's Mountain Lake Boat provides Rental services that can be expressed as follows;
Total cost=cost per hour×number of hours rented+one time cleaning deal
For Benael's family;
Benael family total cost=Cost per hour×number of hours rented+one-time cleaning deal
where;
Benael family total cost=$226.50
Cost per hour=$25
Number of hours rented=11 am-6:30 pm=7 hours 30 minutes=7.5 hours
One time cleaning deal=x
Replacing;
226.50=(25×7.5)+x
187.5+x=226.50
x=226.50-187.5
x=39
One time cleaning deal=$39
For Jones family;
Jones family total cost=Cost per hour×number of hours rented+one-time cleaning deal
where;
Cost per hour=$25
Number of hours rented=9 am-1 pm=4 hours
One time cleaning deal=$39
Replacing;
Jones family total cost=(25×4)+39
Jones family total cost=$139
Jones family paid a total of $139
Answer:
Step-by-step explanation:
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