1

Mathematics

1 answer:

otez555 [7]2 years ago

8 0

Answer:

20°

Step-by-step explanation:

$arc \: length = \frac{ \theta}{360 \degree} \times circumference \\ \\ \frac{1}{3} = \frac{ \theta}{360 \degree} \times 6 \\ \\ \theta = \frac{360 \degree}{18} \\ \\ \theta =20 \degree$

You might be interested in

Describe the error in the work shown below.

Natasha_Volkova [10]

It needs to be 1,2,3,4,5,6,15,39,35

8 0

3 years ago

Don,Eric, and Finn line up in random order for the cafeteria line. What is the probability that they will line up from front to

Vanyuwa [196]

Answer:

1/6

Step-by-step explanation:

The number of ways they can line up is 3×2×1 = 6. Only one of these is alphabetical order. The probability that they will line up randomly in alphabetical order is 1/6.

Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3×2×1 possible orders.

5 0

3 years ago

Read 2 more answers

Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2+2x-2, from x=-1 to x=1

borishaifa [10]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^4+3x^3-5x^2+2x-2 \qquad 
\begin{cases}
x_1=-1\\
x_2=1
\end{cases}\implies \cfrac{f(1)-f(-1)}{1-(-1)}
\\\\\\
\cfrac{[1+3-5+2-2]~~-~~[1-3-5-2-2]}{1+1}\implies \cfrac{[-1]~~-~~[-11]}{2}
\\\\\\
\cfrac{-1+11}{2}\implies \cfrac{10}{2}\implies 5$

6 0

3 years ago

Christina goes to market with $50. She buys one papaya for $20 and spends the rest of the money on bananas. Each banana costs $6

maria [59]

$x-\ number\ of\ bananas\\\\
20+6x\leq50\ \ \ \ | subtract\ 20\\\\
6x\leq30\ \ \ | divide\ by\ 6\\\\
x\leq5\\\\
x\in(-\infty,5)$

7 0

2 years ago

A bag contains 10 white golf balls and 6 striped golf balls. A golfer wants to add 112 golf balls to the bag. He wants the ratio

dem82 [27]

Ratio 10:6
so 10+6 = 16

112/16 =7

white balls: 10 * 7 = 70
striped balls: 6 * 7 = 42

Answer: he needs to add 70 white balls and 42 striped balls to keep the same ratio 10:6

8 0

3 years ago