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Marrrta [24]
3 years ago
8

The cost of dance lessons is $12 for 1 lesson, $22 for 2 lessons, and $32 for 3 lessons. Determine whether the cost is proportio

nal to the number of lessons by graphing the ordered pairs on a coordinate plane.
Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

Answer:

The answer in in this doc

Step-by-step explanation:

https://www.strongnet.org/cms/lib6/OH01000884/Centricity/Domain/370/study%20guide%20answer%20key%20part%20b%20test.pdf

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Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector give
Hunter-Best [27]
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta  r^2}{2}~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=3\\
\theta =\frac{\pi }{4}
\end{cases}\implies A=\cfrac{\frac{\pi }{4}\cdot 3^2}{2}\implies A=\cfrac{\frac{9\pi }{4}}{2}
\\\\\\
A=\cfrac{9\pi }{4}\cdot \cfrac{1}{2}\implies A=\cfrac{9\pi }{8}
6 0
3 years ago
Mc Kennie had two black licorice each 25cm long. He gave Pierre 1⁄5 cm of a licorice stick. How much did he have remaining?
kondaur [170]

Answer:  He had one whole 25cm stick, and 1 10cm long stick of licorice.

Step-by-step explanation:

25-15=10

He had a total of 35 cm of licorice.

3 0
3 years ago
Compare factoring by grouping to factoring out the greatest common factor.
Blababa [14]

Answer:

(3x + 10)(2x + 1)

Step-by-step explanation:

Factor by grouping: 6x2 + 3x + 20x + 10.

This is a polynomial written with four terms that don't have a single common factor among them. However, the first two terms have a common factor (3x), and the last two terms have a common factor (10). This situation doesn't answer all of our wildest factoring dreams, but we'll take it.

By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:

3x(2x + 1) + 10(2x + 1)

These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:(3x + 10)(2x + 1)

7 0
3 years ago
Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.
evablogger [386]

Answer:

(14 , -7)

Step-by-step explanation:

terminal points: A (-6,3)   B (4,-2)

u = x₁ + i y₁    u = -6 + i3

v =x₂ + iy₂ = 4 - i2       2v = 8 - i4

2v - u = (8 - i4) - (-6 + i3) = 14 -i7

Resulting terminal point: (14 , -7)

6 0
3 years ago
Read 2 more answers
Answer question 1 and 2 below and show your work.
Sliva [168]

Answer:

1st Part- $41     2nd Part- 48 Tickets

Step-by-step explanation:

1st Part)

Suzie- 2($4) + 2($7)= $22

Devon- 3($4)+ 1($7)= $19

                        Total=$41

-------------------------------------------------

2nd Part)

4(6) + 8(3) = 48 Tickets

8 0
4 years ago
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