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:
Answer:
1) d. 2400
2) d.4200
Step-by-step explanation:
As per given data:
F(x) represents number of fish
x represents number of weeks
Relation between F(x) and x is given as
F(x)= 500 (1.2)x
Now part 1:
How many fish are in the pond after 4 weeks=?
x=4
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(4)
= 2400
Now part 2:
How many fish are in the pond after 7 weeks?
x=7
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(7)
= 4200 !
Answer:
<h2> $8.16</h2>
Step-by-step explanation:
given the amount $8.162
if we are to round this amount to the nearest hundredth, we would have
$8.16
this is because will have already consider the last value in the given digit and this value is not up to 5 hence we are not able to round the number next to it up, but we have to retain its current value of 6.
therefore the value is
$8.16
Answer and Step-by-step explanation:
Section the figure into two 3D shapes.
We get both figures to be a rectangular prism.
The Volume of a rectangular prism is length times width times height.
V (of top Rectangular Prism) = 2 × 2 × 4 = 16
V (of bottom Rectangular Prism) = 6 × 4 × 2 = 48
Now, we add those two volumes together to get the volume of the irregular figure.
16 + 48 = 64.
<u><em>The volume of the irregular figure is 64 </em></u>
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<u><em>#teamtrees #PAW (Plant And Water)</em></u>
Let h = height
h square = 20 square + 5 square
h square = 400+ 25
So you square root both sides
h = root 425
h = 20.6155281
