Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her av

Response:

hh

Detailed breakdown:

djdjdj

Answer: 108ft^2

Step-by-step explanation:

Initially, we observe two right triangles at the top.

The area of a right triangle can be calculated by taking half the product of its perpendicular sides.

A shared perpendicular side for both triangles is known to be 6ft.

Both triangles utilize the same base, which measures 14ft in length; therefore, each triangle's base is half of that, giving us 7ft.

14ft/2 = 7ft

Consequently, each triangle has a side of 6ft and another side of 7ft.

Thus, the area of each right triangle located at the top is:

6ft*7ft/2 = 21ft^2

Having two of such triangles results in an area of:

A1 = 21ft^2 + 21ft^2 = 42ft^2.

Next, examining the lower portion, we can break it down into two right triangles and one rectangle.

The lower side measures 8ft, with the differential from the 14ft side being:

14ft - 8ft = 6ft

(This calculation ensures that the length of the bottom edge matches the top edge for rectangle formation).

This gives a surplus of 6ft that we can split into both right triangles (3ft each, this defines one of the triangles' sides).

Notably, the dimensions of each triangle are 6ft and 3ft for the respective other side,[ [TAG_42]]

leading us to the area calculation:

A = 6ft*3ft/2 = 9ft^2

Thus, for two triangles, A2 totals to 18ft^2.

Moreover, the rectangle involved is 8ft by 6ft, giving an area of:

A3 = 8ft*6ft = 48ft^2

Collectively summing up all found areas yields:

A1 + A2 + A3 = 42ft^2 + 18ft^2 + 48ft^2 = 108ft^2

Response:

Part a) The price of raisins is $0.8 for each ounce

Part b) 1.25 ounces

Detailed explanation:

The accurate question is

Jackson purchased 5 ounces of raisins costing him $4 dollars.

a) What is the cost per ounce of raisins?

b) How many ounces of raisins could one get for $1?

Part a)  What is the cost per ounce of raisins?

It is established that

To calculate the unit price, divide the total expense by the total weight

thus

consequently

The raisins are priced at $0.8 for each ounce

Part b) How many ounces of raisins can be obtained with $1?

It is known that

The raisins are sold at $0.8 per ounce

by using proportions

Determine how many ounces of raisins one can purchase for $1

Let

x -----> the ounces of raisins

This scenario is similar to a compound interest problem where the following formula is utilized:

Here:

C is the principal amount

j stands for the interest rate

n represents the number of periods

M is the total amount

By applying this formula to our issue, we establish:

C equals the initial population

j indicates the annual growth rate

n corresponds to the years elapsed

M signifies the final population

Let's proceed with the calculations...

C = 14000

j = 3% = 3/100 = 0.03

n = 6

M =?

Substituting the known values and calculating gives us:

M = C.

M = 14000.

M = 14000.

M = 14000. 1.19

M = 16,716.7

Thus, the result is 16,717

:-)