I would say the answer is 2
Answer:
Gradient = -5
Step-by-step explanation:
The gradient of a line is the slope of the line.
The standard form of the line equation is y = mx + b
where m is the slope ( or gradient) b is the y - intercept.
Given :
2y = -10x + 1
In this question, it is given that An inverse trigonometric function is used to find the value of an unknown obtuse angle in a triangle. The inverse function returns the angle 68°.
Since the angle is obtuse angle, it means the measurement of the angle is greater then 90 degree. And to find the angle measurement, we have to subtract the given angle from 180 degree.
So the unknown angle is
And that's the required answer .
Answer:
Therefore $98 is be charged a bus containing 30 people.
Step-by-step explanation:
Given that,
A state park charges an entrance fee based on the number of people in vehicle.
Let the entry fee for the vehicle be E and entry fee for each person be x.
Then
C= E+(P×x)
C= Total charge in $
E= entry fee for a vehicle
P=No. of person
x= Entry charge per person.
Given A car containing 2 people charged $14
C=$14, P=2
∴14= E+(2× x)
⇒E+2x=14.....(1)
Again A car containing 4 people charged $20
C=$20, P=4
∴20= E+(4× x)
⇒E+4x=20.....(2)
Subtract (1) from (2), we get
E+4x-(E+2x)= 20-14
⇒E+4x-E-2x=6
⇒2x=6
⇒x=3
Putting the value of x in equation (1)
E+(2×3)=14
⇒E=14-6
⇒E=8
Therefore E=$8 and x=$3
Next we check whether our assumption is correct or wrong. Putting the value of E and x for third case
Here P= 8
Therefore C= E+(P×x)
= 8+(8× 3)
=8+24
=$32
Therefore our assumption is correct.
Now C=? , P= 30
The charged for the 30 people is
C= $[8+(30×3)]
=$[8+90]
=$98
Therefore $98 is be charged a bus containing 30 people.
