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Elina [12.6K]
3 years ago
10

Question 4

Mathematics
1 answer:
Elanso [62]3 years ago
6 0

Answer:

a A = 30 + 0.45 n

b A = 90.3

c 0 customers

Step-by-step explanation:

Given

Base\ Amount = 30

Rate = 0.45 per customer

Solving (a): Amount (A) on n customers

This is calculated as:

A = Base\ Amount + Rate * n

A = 30 + 0.45 * n

A = 30 + 0.45 n

Solving (b): Amount on 134 customers

In this case: n = 134

So:

A = 30 + 0.45 * 134

A = 30 + 60.3

A = 90.3

Solving (c): Customers at noon.

At noon, the amount is 30.

So:

A = 30 + 0.45 n

30 = 30 + 0.45n

Collect like terms

0.45n = 30 - 30

0.45n =0

n = 0

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V=43.75pi ft^3 or aprox 137.44465 ft^3

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If f(x)= -5 -7x, find f(-2)
swat32

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Please Help.<br> Match the reasons to the statements given.
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Answer:

1. Given

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3. Vertical angles are equal.

4. Definition of parallelogram.

5. If lines parallel, then alternate interior angles are equal.

6. ASA

7. CPCTE

Step-by-step explanation:

Statement 1:

The first statement is a parallelogram ABCD, which is already given in the question. So, reason 1 is: Given.

Statement 2:

BT and TD are equal because for a parallelogram, its diagonal bisect each other. Here, BD and AC are the diagonals of parallelogram ABCD. So, the diagonals bisect each other at T. Hence, BT = TD

Statement 3:

Angles 1 and 2 is a pair of vertical angles. A pair of vertical angles are always equal to each other.

Statement 4:

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. Hence, BC ||AD is because of the definition of a parallelogram.

Statement 5:

Angles 3 and 4 is a pair of alternate interior angles. If two lines are parallel, then the alternate interior angles are always equal.

Statement 6:

The triangles BET and DFT are now congruent because:

i.Angle- \angle1=\angle2

ii. Side - BT = TD

iii. Angle - \angle3=\angle4

Therefore, by ASA postulate the two triangles are congruent.

Statement 7:

As the two triangles are congruent, then their corresponding parts are also equal.

So, by CPCTE, ET=FT

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