Help Don't Understand

Which explanation best describes how to solve this problem?

julia-pushkina [17]

Id say d is best way to go

8 0

3 years ago

What is the answer to 1-5

34kurt

1. EFG

2. F

3. FA and FB Take a moment to look at this one. The two rays are pointing in opposite directions. They are 180o apart. They share a common point at F.

FE and FG does the same thing.

4. No G is on a line that has only one point on the plane and that point is F.

5, AC has an infinite number of points on the plane.

5 0

4 years ago

The table represents a linear function. What is the slope of the function?

TEA [102]

Answer:

-4

Step-by-step explanation:

The function is linear; therefore, the slope of the line joining any two points is the same.

We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).

The slope $m$ of the line joining the points is

$m=\dfrac{\Delta y }{\Delta x } =\dfrac{-2-(-10)}{-4-(-2)} \\\\\boxed{m=-4}$

The slope of the function is -4.

3 0

3 years ago

Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.

allochka39001 [22]

Answer:

The answer to each question is:

A.) 403.2 $cm^{2}$
B.) 100. 8 $cm^{2}$

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

Apothem = Edge * $\frac{2+\sqrt{3}}{2}$

If we replace the value of the edge, we obtain:

Apothem = 6 cm * $\frac{2+\sqrt{3}}{2}$
Apothem = 11.2 cm (approximately).

With this data, we can find the area:

Area of a dodecagon = 6 * apothem * edge
Area of a dodecagon = 6 * 11.2 cm * 6 cm
Area of a dodecagon = 403.2 $cm^{2}$

Then, the area of the dodecagon is 403.2 $cm^{2}$ approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

12 pieces = 403.2 $cm^{2}$
3 pieces = X

Then:

X = (3 * 403.2 $cm^{2}$ ) / 12
X = 1209.6 $cm^{2}$ / 12
X = 100. 8 $cm^{2}$

In this form, when the cookie has 3 pieces, its area is 100. 8 $cm^{2}$ approximately.

5 0

3 years ago

A store is selling a hat at a 55 percent markup. The store originally paid $16 for the hat. What is the retail price of the hat?

AleksandrR [38]

Set up the proportion of $ on one side and percents on other. You can put x for the retail value of the hat and 16 on the bottom. Then on the other side put the percentage of the added markup plus 100% which is the original price on the top over 100%. It should be something like x/16 = 155/100. The cross multiply. (x)(100) = 100x and (16)(155) = 2480. Then divide 2480 by 100 to isolate the x. Your final answer will be x = 24.80 which is the retail price.

6 0

3 years ago

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