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Mars2501 [29]
2 years ago
11

Circle E has a radius of 40 inches with = 324°. Find the exact length of

Mathematics
2 answers:
Anni [7]2 years ago
8 0
Let the arc is ABC with angle 324 degree, to find the length of that arc follow the steps;
The circumference of the circle E is :C = 2 r π
C = 2 * 40 π = 80 π cm.
Also 324° / 360° = 0.9m Arc (ABC ) = 0.9 * 80 π = 72 π cm
There is also formula for calculating the measure of an arc:
m Arc = r π α / 180°
m Arc = 40 π * 324 / 180
= 40π * 1.8 = 72 π
Now we have to find the exact length ( π ≈ 3.14 ) 
m Arc ( ABC ) = 72 * 3.14 = 226.08 cm
Maksim231197 [3]2 years ago
5 0

Answer:

72 π inches

Step-by-step explanation:

1) Set up a ratio: 324/360. Simplify it: 9/10.

2) Then do: 9/10 x 2 π r  -->  9/10 x 2 π 40. You should get: 72 π.

3) So, the exact length of arc ABC = 72 π inches.

(The reason you are supposed to leave it 72 π inches is because only if the question asks you to find the approximate length of the arc, then you can use 3.14 instead of π. But if the question asks you to find the exact length of the arc, you have to leave it as said above because you would still have to round the answer (if you multiply 72 by pi), which makes it an approximate answer, not an exact answer.)

pi (π) = 3.14159265359......................

Pi is an endless number.

<em>Hope this helps!   :)</em>

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Please help, really hard question Plz don’t give a wrong answer for points
nydimaria [60]

Answer:

280

Step-by-step explanation:

For example, if Justin Upton gets 155 hits in a season and has 554 at bats, his batting average would be 155/554, or .280. The batting average is usually represented not as a percentage (i.e. 28.0%), but instead as a decimal number with three places after the decimal. A batting average of 1.000 means that the player gets a hit every time he comes to bat, and an average of .000 means the player has no hits.

It should also be noted that not every time a batter comes to the plate counts as an at bat. Plate appearances that do not count as at bats include walks, hit-by-pitches, sacrifices, etc.

5 0
2 years ago
A store has clearance items that have been marked down by 60% they having a sale, advertising an additional 30% off clearance it
bagirrra123 [75]

The original price is 100% of the price. If the price is marked 60% off, then you pay 40% of the original price.

An item costs x dollars.

With the 60% off discount, it now costs 40% of x, or 0.4x.

Now you apply a 30% discount.

For the second discount, consider the price 0.4x to be the new original price. If the price is now discounted 30%, you will pay 70% of the new original price.

Start with 0.4x.

Now calculate 70% of 0.4x.

70% of 0.4x = 0.70 * 0.4x = 0.28x

After applying the 60% discount and the 30% discount, the item that originally cost x now costs 0.28x. 0.28x is the same as 28% of x. The amount you pay is 28% of the original price.

Answer: 28%

3 0
2 years ago
Saurav sold two radios for Rs. 1200 and Rs. 1350 respectively. He made a profit of 20% on the first radio and 2% profit on the w
Fudgin [204]

Answer:

Step-by-step explanation:

total sold amount= 1200+1350=2550

profit amount on first radio= 1200-(1200/1.2)=1000

purchase amount of 1st radio= Rs. 1000

total purchased amount= (2550/1.02) = Rs. 2500

purchase amount of second radio=  2500 - 1000 = Rs. 1500

loss % on second radio= ((1500-1350)/1500 ) * 100 = 10%

8 0
2 years ago
the number of calories consumed at snack varies directly with the number of cookies eaten. if mandy eats 3 cookies, she will con
Nostrana [21]

She will consume 400 calories if she eats 5 cookies.


3 cookies = 240 cal.

In order to solve for 5 cal. you need to find the unit rate first, divide both numbers by 3

3/3 = 1 

240/3 = 80

Now we know that 1 cookie = 80 cal.


5 cookies;

80 * 5 = 400 cal.

4 0
2 years ago
The following hypotheses are given. H0 : π ≤ 0.70 H1 : π &gt; 0.70 A sample of 100 observations revealed that p = 0.75. At the 0
Degger [83]

Answer:

The null hypothesis can't be rejected.

Step-by-step explanation:

Given information:

Null hypothesis:

H₀ : π ≤ 0.70

Alternative hypothesis:

H₁ : π > 0.70

We need to check whether the null hypothesis is rejected or accepted.

If P-value < α, then we reject the null hypothesis H₀.

If P-value ≥ α, then we accept the null hypothesis H₀.

A sample of 100 observations revealed that p = 0.75 at the 0.05 significance level.

Here 0.75>0.05, it means p > α, therefore we can not reject the null hypothesis.

8 0
2 years ago
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