Answer:
Step-by-step explanation:
Solve the following inequality:
-Take and subtract it from :
-Subtract on both sides:
-When you are dividing an integer by a negative integer, then the inequality sign changes. So, Take and divide it on both sides:
Therefore, the answer is .
Base = 5 * 12 = 60 in^2
Height = 4 in
Perimeter is the sum of all straight
Perimeter = 20 + 16 + 48
Perimeter = 84 in
Perimeter of base = 12 * 2 + 5 * 2 = 34
Answer:
The measure of the central angle whose radii define the arc is
Step-by-step explanation:
Radius of circle = 10 cm
Length of arc =
We need to find Theta
The formula used will be:
S= length of arc, r = radius and = angle
Putting values and finding \theta
So, the measure of the central angle whose radii define the arc is
Answer:
22
Step-by-step explanation:
Basically you can think of Devaughn as 3x and Sydney as 1x, which gives you 4x=88. 88/4= 22, so Sydney is 22
this is the answer to this question - Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?
Answer:
Reasons:
The given parameters are;
Distance between the two stations = 146 miles
Location of the weather balloon from the Western station = N35°E
Location of the weather balloon from the Eastern station = N23°E
The location of the station = On the equator
Required:
The distance of the balloon from the Western station
Solution:
- The angle formed between the horizontal, and the line from the Western station
to the balloon = 90° - 35° = 55°
- The angle formed between the horizontal, and the line from the Eastern station
to the balloon = 90° + 23° = 113°
The angle at the vertex of the triangle formed by the balloon and the two stations is 180° - (55 + 113)° = 12°
By sine rule,
Distance from balloon to western station = 146/sin(12 dg) = Distance from balloon to western station/sin(113 dg)
Therefore;
Distance from balloon to western station = 146/sin(12 dg) x sin(113 dg) ~ 646.4
Step-by-step explanation: