A. Lily paid $6 for 3/8 lb of nuts. What is the unit rate as complex fraction (simplify)

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

The complete question is

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

$x+y=180^o$ ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

$x=2y$ ----> equation B

substitute equation B in equation A

$2y+y=180$

$y=60^o$

so

$x=120^o$

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

$b=12/2=6\ units$

The perimeter of the hexagon is given by the formula

$P=6b$

substitute

$P=6(6)=36\ units$

3 0

2 years ago

If he paints 1/2 of the wall blue, hoy many square feet will be blue?

Katen [24]

To determine how much of the wall is blue we first need to find its area. The wall is a rectangle, then its area is the product of its height and length:

$\begin{gathered} A=(8\frac{2}{5})(16\frac{2}{3}) \\ A=(\frac{42}{5})(\frac{50}{3}) \\ A=(14)(10) \\ A=140 \end{gathered}$

Hence, the area of the wall is 140 square ft. To determine how much of the wall is already painted we multiply this by 1/2, then:

$(140)(\frac{1}{2})=70$

Therefore, 70 square ft are blue.

6 0

1 year ago

A bag contains 30 lottery balls numbered 1-30. A ball is selected, replaced, then another is drawn. Find each probability.

swat32

Answer:

17÷3 ok so it was just a compliment sometime soon

3 0

2 years ago

For the equation below, x is the input and y is the output.

stiv31 [10]

Step-by-step explanation:

y= -4x +3

y555522514852

8 0

3 years ago

Read 2 more answers

Approximately 2125 heart transplants were performed in a country in 2001. In 2006, the number of heart transplants in the count

professor190 [17]

Answer:

(2001, 2125), (2006, 2360)

Step-by-step explanation:

An ordered pair refers to a pair of numbers or items in a simple and orderly manner. The order in which the items are grouped is very important. In graphs an ordered pair could be the coordinates of various points on the graph in terms of x and y, that is x and y coordinate (x,y).

From the question we are to form two ordered pair in the form (year, number of heart transplants).

to do this we simply fill out the items with their corresponding numbers where the first item is the year and second is the number of heart transplants.

in year 2001 we have (2001, 2125)

in year 2006 we have (2006, 2360)

3 0

2 years ago