Answer:
2.
Step-by-step explanation:
The first numbers in the ordered pairs are the x values;
Difference = 1 - 3 = -1
The absolute value is 2.
Answer:
A. 12.4
Step-by-step explanation:
To find a, we'll use the Law of Sines that says:
And we'll isolate a to get:
We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:
A = 180 - 90 - 16.75 = 73.25
(converted 16°45' to 16.75)
Then we will plug-in the information we already have
So, let's round it to 12.4 to match the answer A.
Answer:
Radius = 8 units
Length of arc AB = 8.37758 units
Step-by-step explanation:
The sector COD is 1/4 the size of the circle.
the vertex angle is 90° and a circle has 360° at the center.
So the area of sector COD/area of Circle = 90/360 = 1/4
This means the area of the circle is 4 * 50.24 = 200.96 square units
Area of circle = πr² where r is the radius
πr² = 200.96
r² = 200.96/ π = 63.9676 ≅ 64
Therefore r = √64 = 8 units
The circumference of the circle is 2πr = 16π units
arc AB has a vertex angle of 30°.
30°/360° = 1/6
So the length of the arc is 1/6th the circumference of the circle =
(1/6) * 16π = 2.67π units or 8.37758 units
Answer:
adjacent. x=55
Step-by-step explanation:
Answer:
6a) 1
6b) 11
7a) 4
7b) 10
8a) 6
8b) 14
9a) 11
9b) 13
Step-by-step explanation:
In order to make a triangle, we need to follow this property:
a <= b + c
(Known as "triangle inequality")
Where 'a' is the bigger side and 'b' and 'c' are the other two sides.
So, using this property, we can solve the following problems:
6a) Maximum side will be 6:
6 <= 5 + c
c = 1
6b) Minimum sides will be 5 and 6:
a <= 5 + 6
a = 11
7a) Maximum side will be 7:
7 <= 3 + c
c = 4
7b) Minimum sides will be 3 and 7:
a <= 3 + 7
a = 10
8a) Maximum side will be 10:
10 <= 4 + c
c = 6
8b) Minimum sides will be 4 and 10:
a <= 4 + 10
a = 14
9a) Maximum side will be 12:
12 <= 1 + c
c = 11
9b) Minimum sides will be 1 and 12:
a <= 1 + 12
a = 13
