Answer:
3636 hours
Step-by-step explanation:
The calculation of duration of baby sloth sleep is shown below:-
A three-toes sloth usually sleeps is
= 101 hours per week.
Number of week is
= 36
Since we need to compute the duration of baby sloth's sleep so we need to multiply the number of weeks with number of hours per week
Therefore,
The duration of baby sloth's sleep in 36 weeks
= 36 x 101
= 3636 hours
First blank: sin. C = h/a
The ratio for sin. is opposite (the height) over hypotenuse (a).
Second blank: Area = (1/2)b(a sin. C)
In this substitution, we are substituting the value of h into the traditional area of a triangle formula.
Third Blank: Area = (1/2)ab(sin C)
We are using the commutative property to move the position of a.
Hope this helps and good luck in your classes!
Answer:
13 , 24 , 14
Step-by-step explanation:
Note that technically there are two patterns. Each one adds 1.
The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.
The second pattern starts with 22. The 4th number is 23, which means the sixth number will be 24.
~
X=12
0.75x + 5=14
Take away 5 on both sides
So 0.75x +5-5=14-5
0.75x=9
0.75x divided by 9 = 12
ANSWER
1.39
EXPLANATION
The given quadratic equation is

This is the same as,

Comparing to

We have
a=2, b=3,c=-8
Using the quadratic formula, the solution is given by:

We substitute the values to get,


The positive root is

to the nearest hundredth.