All categories

3 years ago

Find the length of an apothem of a square if the perimeter is 40.

1 answer:

8 0

An apothem of a square is a perpendicular from a center of a square to one of its side.

1. Put a dot at the center of the square. (You can find the center by drawing diagonals from corner to corner. The center is where they intersect).

2. Draw a perpendicular line in any of the four directions to one side of the square.

3. Two apothems of a square (drawn to opposite sides) make a line that is parallel to both (left) sides of the square, a line that is of equal length. If two apothems added together are equal to the length of one side, then one apothem is half of the length.

4. The square perimeter is 40 and it consists of 4 equal parts, then the length of square's side is 10.

5. Then the apothem has length 5.

You might be interested in

Graph each inequality on a number line.

astra-53 [7]

Answer:

Create a black dot that is filled in, then an arrow going towards the right.

3 0

3 years ago

Please help! :)

Volgvan

Answer:

So the correct option is First one

i.e $\dfrac{9\pi}{A}=\dfrac{90}{360}$

Step-by-step explanation:

Given:

Area of Shaded part = 9 π square feet

To Find :

Area of Circle = ?

Solution:

90 degree center angle is equivalent to an area of 9 Π square feet

So, 360 degree center is equivalent to area A which is the area of the complete circle.

So the Ratio will be

$\dfrac{90}{9\pi} =\dfrac{360}{A}$

Setting the given statements in proportion:

$\dfrac{90}{9\pi} =\dfrac{360}{A}$

On solving we get the required

$\dfrac{9\pi}{A} =\dfrac{90}{360}$

So the correct option is First one

i.e $\dfrac{9\pi}{A}=\dfrac{90}{360}$

Alternate Method:

Shaded part is of 90°

Area of Shaded part = 9 π square feet

And Full Circle is of 360° that is 4 sector of 90°

$\textrm{Area of Circle}=4\times (Shaded\ part)$

$\textrm{Area of Circle}=4\times 9\pi$

$\textrm{Area of Circle}=36\pi$

So the correct option is First one

i.e $\dfrac{9\pi}{A}=\dfrac{90}{360}$

On solving this we get

$A=36\pi\ feet^{2}$

8 0

3 years ago

What is the pattern with these letters J, F, M, A, M

klemol [59]

Answer:

The pattern is:

Step-by-step explanation:

they are the first letters of each month in the year -

J - January

F- Febuary

M - March

A - April

M - May

Continuing...

J - June

J - July

A - August

S - September

O - October

N - November

D - December

3 0

2 years ago

Pizza is sold at a restaurant in 3 sizes: small (S), medium (M), and large (L). Customers can choose from 4 toppings to be used

kvasek [131]

Answer:

MG, MH, MO, LG, LH, LO

Step-by-step explanation:

since pepperoni not allowed, only G,H,O are allowed. so 6 choices available

5 0

3 years ago

Determine the possible rational zeros of this polynomial function using the rational zeros theorem:

sleet_krkn [62]

Answer:

See answer below

Step-by-step explanation:

The possible zeroes are p/q where p is factors of the constant and q is factors of the coefficient of the largest degree.

This means possible zeroes are ±15/4, ±5/4, ±3/4, ±1/4, ±15/2, ±5/2, ±3/2, ±1/2, ±15, ±5, ±3, ±1.

3 0

3 years ago