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1 answer:
Answer:
a) The Total fee, that Mike charges for 4 hours of instruction is $152
b) The total fee, that Tony charges for 4 hours of instruction is $148
c) The difference between total fee Mike and Tony charge for 4 hours of instructions is $4
Step-by-step explanation:
a) What is the total fee, that mike charges for 4 hours of instruction.
Mike charges $12 for travel expenses and $35 per hour for instruction.
So, the equation will be: where h is number of hours and y is cost
Put h=4 and find cost
So, the Total fee, that Mike charges for 4 hours of instruction is $152
b) What is the total fee, that Tony charges for 4 hours of instruction
Tony's fee can be modelled by C=32h+20 where h is number of hours and C is cost
Put h=4
So, the total fee, that Tony charges for 4 hours of instruction is $148
c) What is the difference between total fee Mike and Tony charge for 4 hours of instructions.
Cost for Mike = $152
Cost for Tony = $148
Difference = 152 - 148 = 4
So, the difference between total fee Mike and Tony charge for 4 hours of instructions is $4
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Answer:
.
Step-by-step explanation:
We know that if two corresponding sides of two triangles are equal, then third sides of the triangles depend on angle between equal sides.
Angle opposite to larger side is larger.
Since, 14 < 15, therefore
...(1)
We know that, angle can not not negative.
...(2)
From (1) and (2), we get
Therefore, the range of values of x is .
Answer:
Step-by-step explanation:
We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.
the distance formula is generally written as:
for the side AB: A(-2,2,3) and B(4,-4,3)
for the side BC: B(4,-4,3) and C(7,6,4)
for the side CA: C(7,6,4) and A(-2,2,3)
Now we all the sidelengths:
to find the perimeter we need to just sum the three side lengths:
this is the perimeter of triangle ABC
The area of the triangle will be 24912 sq. units. Square units and other similar units are used to measure area.
<h3>What is the area?</h3>The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area.
For:
(X1, Y1) = (1, 15)
(X2, Y2) = (-2, 1)
d = 14.317821
For:
(X₂, Y₂) = (-2, 1)
(X₃, Y₃) = (4, 5)
d = 7.211103
For applying the pythogorous them we need the right angle triangle obtained by bisect from the mid point.
The value of the base is;
⇒7.2 / 2
⇒3.6
apply the pythogorous theorem for finding the height;
h² = p² + b²
14.31² = p² + 3.6²
p = 13.84
The area of the triangle is;
Hence, the area of the triangle will be 24912 sq. units.
To learn more about the area, refer to the link;
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