Answer: (-4,-2)
Step-by-step explanation:
Looking at the graph, if you move from the zoo downwards for 7 units, you will arrive at point B which is also 2 units from the park.
Point B is therefore the doctor's office and its coordinates are, (-4, -2)

The two other prime factors are
3 and 11
Answer:
The cost per adult is $16.
Step-by-step explanation:
Given that:
Total number of children = 20+22 = 42 children
Total number of adults = 2 + 5 = 7 adults
Total cost for both groups = $490
Cost per child = $9.00
Cost of children ticket = 9.00*42 = $378
Cost of adult tickets = 490-378 = $112
This is the cost for 7 adult tickets.
Cost per ticket =
= $16
Hence,
The cost per adult is $16.
9514 1404 393
Answer:
- b = 757.7 m
- A = 17.2°
- C = 14.3°
Step-by-step explanation:
From the law of cosines, you can find the length of side b to be ...
b = √(a² +c² -2ac·cos(B))
b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36
b ≈ 757.7
__
From the law of sines, you can find the measure of angle C to be ...
C = arcsin(c/b·sin(B))
C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)
C ≈ 14.3°
A = 180° -148.5° -14.3°
A = 17.2°
_____
Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.
Answer:
9.5 cm
Step-by-step explanation:
B ratio of angles ratio are 1:2:3
30-60-90 triangle (angles )
x-x√3 -2x triangle ( sides)
short side -long side- hypothenuse
2x = 19 so x= 19/2 = 9.5 cm