A.
estimate: 8/5
quotient:1.6
b.
estimate: 7
quotient: 7
c.
estimate: 15/2
quotient:7.5
The angle here is an acute angle at ground level. Then the side adjacent to this angle is 126 feet. The opp. side is the tower, 111 feet tall.
Then
tan theta = opp / adj = 111 / 126. Using the inverse tangent function, we find that the measure of the angle is 0.722 radian or 41 degrees (to the nearest degree).
Answer:
The bench costs $350
Step-by-step explanation:
et the cost of the bench = x
the cost of the garden table = x + 94
x + (x + 94) = 794
2x + 94 = 794
2x = 700
x = 350
The bench costs $350 and the garden table costs 350 + 94 = $444
Frank can build a fence in twice the time it would take Sandy. Working together, they can build it in 7 hours. How long will it take each of them to do it alone?
Answer
If Frank and Sandy can build the fence in 7 hours, they must be building
1
7
of the fence every hour.
Now, let the amount of time it takes Sandy be
x
hours so that Frank takes
2
x
hours. Sandy can build
1
x
of the fence every hour and Frank can build
1
2
x
of the fence every hour.
We now have the following equation to solve.
1
x
+
1
2
x
=
1
7
2
+
1
2
x
=
1
7
21
=
2
x
x
=
21
2
=
10.50
Thus, Sandy takes
10.50
hours and Frank takes
21
hours.
