A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour what is the
1 answer:
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Answer: ,
,
and
Step-by-step explanation:
Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.
Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.
⇒
She ran on her wheel at least twice as long as she scratched at the corners of her cage.
⇒
Also, She spent more than 1/4 hour running on her wheel.
⇒
And, we know that number of hours can not be negative.
⇒
Therefore, the complete system of inequality which shows the given situation is,
,
and
,
Note: the feasible region ( covered by the given system) is shown in the below graph.
Answer:
The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches
Step-by-step explanation:
Given as for a Isosceles triangle :
The base of Triangle = 11.25 inches
The sides of triangle meets at 56°
Let the unknown side measure = x inches
From <u>The property of isosceles triangle</u>
The angle opposite to the same side are equal
I.e =
= 56°
So, The third angle = 180° - ( +
)
Or, The third angle = 180° - ( 56° + 56° )
∴ The third angle = 180° - 112° = 68°
Now, From isosceles triangle
Tan 56° =
Or, Tan 56° =
∴ x = 11.25 × Tan 56°
Or, x = 11.25 × 1.482 = 16.672 inches
Hence The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches Answer