A circular garden has a diameter of 6 yards. What is the area of the garden?

What is the sum of all of the perfect squares between

Nonamiya [84]

Answer:

(-138) is the answer.

Step-by-step explanation:

Perfect square numbers between 15 and 25 inclusive are 16 and 25.

Sum of perfect square numbers 16 and 25 = 16 + 25 = 41

Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.

Since sum of an arithmetic progression is defined by the expression

$S_{n}=\frac{n}{2}[2a+(n-1)d]$

Where n = number of terms

a = first term of the sequence

d = common difference

$S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]$

= 4(34 + 7)

= 164

Sum of 15 + $S_{8}$ = 15 + 164 = 179

Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = $41-179$

= -138

Therefore, answer is (-138).

7 0

2 years ago

Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati

Svetach [21]

Answer:

Answer:18+4.5 $\pi \\$

Step-by-step explanation:

This shape is a triangle with a semicircle connected to it

and this triangle is a right triangle so side A=B

that means the other leg is 6.Knowing that we can solve

The formula for the area of a triangle is (base×height)÷2

so that means 6×6 equals 36 and if you divide that by 2 you get the 18.

Now we will deal with the semicircle. We know that both of the legs are 6 so that means the diameter is 6 and now we solve 6 divided by 2 equals 3 and we will have to square that and we will 9 and since it is a semicircle we have to divide it by 2 and that will give us 4.5 and since we have to express it in terms of pi it will be 4.5(pi) and then we add both of the areas

giving us 18+4.5(pi)

and do you go to RSM

8 0

2 years ago

Determine the graph that has the following properties

uranmaximum [27]

A. but I would double check on that one first.

5 0

3 years ago

The volume of a storage pod that is shaped like a cube is 1728 cubic feet what is the area of the floor space of the storage pod

KengaRu [80]

Answer:

144 sq. ft.

Step-by-step explanation:

In order to find the area, we have to know the length of the sides.

Since the figure is a cube, the way that the volume was found was by multiplying one side length by itself two times.

s^3 = cube volume.

So, to find the length of one side, we have to find the cube root of the volume.

$\sqrt[3]{1728}$ = 12

Now that we know the side length, we just need to multiply it by itself to find the area of the floor space.

12 * 12 = 144

8 0

3 years ago

Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per

Xelga [282]

11 weeks are required for Riley to work to save enough money to buy the new television

<h3><u>Solution:</u></h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 - $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

$n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11$

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3><u>Method 2:</u></h3>

<em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

$n = \frac{848.98}{77.18}$

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

5 0

3 years ago