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saveliy_v [14]
3 years ago
8

Find the length s of the circular arc. (Assume r = 6 and = 128°.)

Mathematics
1 answer:
Anni [7]3 years ago
7 0

\textit{arc's length}\\\\ s=\cfrac{r\theta \pi }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =128 \end{cases}\implies s=\cfrac{(6)\pi (128)}{180}\implies s=\cfrac{64\pi }{15}\implies s\approx 13.4

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There are 12 red pens, 20 blue pens and 5 black pens in a bag. What is the probability that you will pick a black pen? Round
Vlada [557]

Answer:

The probability of getting a black pen from the bag is 13.5%.

Step-by-step explanation:

To determine the percentage probability that a black pen will be obtained from the bag, the following calculation must be performed:

12 + 20 + 5 = 37

37 = 100%

5 = X

(5 x 100) / 37 = X

500/37 = X

13.5 = X

Thus, it is determined that the totality of pens is 100%, and through a cross multiplication the percentage of the 5 black pens with respect to the total of pens is obtained.

Therefore, the probability of getting a black pen from the bag is 13.5%.

5 0
3 years ago
A farm has only chickens and pigs , Jason counted 140 legs in total and 440 legs. How many chickens are there
Keith_Richards [23]

Answer:

  60 chickens

Step-by-step explanation:

We assume the 140 refers to the number animals (heads, noses, bodies, whatever). If all of those were chickens, there would be 280 legs. There are 160 legs more than that.

Since each pig that replaces a chicken adds 2 legs, there must be 160/2 = 80 pigs. That leaves 140 -80 = 60 chickens.

5 0
3 years ago
Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is x dollar and cost of one popcorn is y dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50  and  total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)

Multiplying equation (1) by -3 , we will get.....

-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)

Now, adding equation (2) and equation (3) , we will get ............

5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75

Plugging this y=3.75 into equation (1) ......

2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75


6 0
3 years ago
At Dave's diner, 2 sandwiches and 2 drinks cost $12. You can buy 5 drinks for the cost of one sandwich.
hram777 [196]
If you’re asking for the cost of the drink, the drink would be $1. This is because 2 sandwiches would cost $10 and that means 1 sandwich would make it $5. If 2 sandwiches cost $10, the remaining $2 in the $12 dollars would be the drinks. 2 drinks for $2 would make 1 drink for $1. So the cost of 5 drinks is $5 or $1 per drink.

If confused, don’t be shy to ask :)
8 0
3 years ago
One cubic foot of chemical weighs 80 pounds. How many pounds of the chemical can a container with the dimensions shown hold
Ierofanga [76]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
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