Answer:
The length of the shadow is 48.28 feet.
Step-by-step explanation:
The flagpole at its shadow form a 46, 44, 90 triangle.
Let AB be the flagpole. AC is the shadow.
Let's use the sine law to calculate AC.

Answer:
27
Step-by-step explanation:
Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.
We can turn the statements the problem gives us into mathematical expressions to help us solve.
Gabrielle's age is two times Mikhail's age:
<em>g </em>= 2<em>m</em>
The sum of their ages is 81:
<em>g </em>+ <em>m </em>= 81
This gives us a system of equations that will allow us to solve for Gabrielle's age.
<em>g </em>+ <em>m </em>= 81
(2<em>m</em>)<em> </em>+ <em>m </em>= 81
3<em>m </em>= 81
<em>m</em> = 
<em>m </em>= 27
If we need to solve for Gabrielle's age, we can do the following.
<em>g </em>= 2<em>m</em>
2(27)<em> </em>= <em>g</em>
54 = <em>g</em>
g = 54
Mikhail's age is 27.
Gabrielle's age is 54.
Answer:
21
Step-by-step explanation:
21 water stations
Step-by-step explanation:
From the question, we are informed that a marathon is 26.2 miles long and that there is a water station every 1 1/4miles along the race route and at the finish line.
To get the number of water stations that are needed for this marathon, we divide 26.2 miles by 1 1/4miles. This will be:
= 26.2miles/1 1/4 miles
= 26.2 miles/1.25 miles
= 20.96
= 21 water stations
You can’t .................
Answer:
1283/1000
Step-by-step explanation:
or 2/14