If r = 5 units and x = 11 units, then what is the total surface area of the cylinder shown above?

Answer:

6,000 & 19,200

Weare given a regular figure, and asked for the measure of some indicated angles as shown below:

Notice that this is regolar figure (all sides of the same size) and also that is has 8 sides. Therefore, the central angle (360 degrees) must be divided by 8 to find the measure of angle <1:

angle <1 = 360 / 8 = 45 degrees.

Now, since the little triangles that the polygon is divided into, are all isosceles triangles (have the two sides connected to the center of the polygon, equal, then the other two angles inside each triangle must be equal (let's call them "x").

Now, for each little triangle we use the property that the addition of its internal angles must equal 180 degrees:

<1 + x + x = 180

45 + 2 x = 180

2 x = 180 - 45

2 x = 135

x = 67.5 degrees

Then <1 = 45 degrees , and <2 = 67.5 degrees.

Answer:

Just add

8250

Step-by-step explanation:

5 x 150 = 750

then add that to 7500 = 8250

The difference between the cash price and the initial deposit in hire purchase is known as .

In hire purchase transactions, buyers can acquire goods by making an initial down payment and paying the remaining amount in installments. The difference between the total cost of the item and the initial deposit is a crucial concept known as the in mathematical terms. Let's explore this in detail.

In the context of hire purchase, the total cost of the item is often referred to as the cash price. It represents the actual value of the item without considering any interest or finance charges. On the other hand, the initial deposit, also called the down payment, is the amount paid upfront by the buyer to secure the item.

Now, let's introduce some variables to help us understand this concept mathematically:

- Let CP be the cash price of the item.

- Let D be the initial deposit made by the buyer.

The difference between the cash price and the initial deposit is given by:

The Principal is the amount that remains to be paid off in installments, and it serves as the basis for calculating the subsequent monthly or periodic payments in a hire purchase agreement.

The Principal is critical because it determines the total amount the buyer will end up paying for the item. It also affects the duration of the hire purchase agreement, as the buyer's installments are typically spread over a specific number of months or years.

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