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GaryK [48]
3 years ago
5

the central angle of an arc measures 12. the radius of its circle is 30 inches. what is the length of the arc to the nearest qua

rter inch
Mathematics
1 answer:
Katarina [22]3 years ago
4 0
IF the central angle is in degrees then the
arc length = (12 / 360) * circumference
arc length = (1 / 30) * 2 * PI * 30
arc length = 2 * PI inches
arc length = <span> <span> <span> 6.28 inches

Source:
http://www.1728.org/radians.htm

</span></span></span>
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Refer to the variable on the number of miles driven. the mean is 830.11 and the standard deviation is 42.19 miles. estimate the
Alex787 [66]
The proportion of buses traveling more than 900 miles would be 0.0485; multiply this by the total number of buses and you will have your answer.

We find the z-score associated with 900 miles:

z = (X - μ)/σ = (900-830.11)/42.19 = 1.66

Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of this, less than this, is 0.9515.  This means that the area under the curve to the right of this, greater than this, would be 1-0.9515 = 0.0485.
8 0
3 years ago
Integers are natural numbers.
Stells [14]

Answer: False

Step-by-step explanation:

Hope this helps

5 0
4 years ago
Customers who purchase museum tickets in advance receive 10% off the regular admission price. Anias paid a sale price of $54. He
alisha [4.7K]

Answer:

Regular price of a ticket = $60

Step-by-step explanation:

Given:

On purchasing museum tickets in advance customers get 10% off on the regular price of ticket.

Anias paid the sale price of ticket = $54

To find the regular price of ticket.

Solution:

Let the regular price of ticket in dollars be =x

Discount offered for booking in advance = 10%

Discount amount in dollars = Discount\ percent \times Regular\ price=10% \times x =0.10 \times x =0.1x

Sale price of a ticket in dollars= Regular price - Discount amount= x-0.1x=0.9x

Sale price given for a ticket = $54

So, we have:

0.9x=54

Dividing both sides by 0.9

\frac{0.9x}{0.9}=\frac{54}{0.9}

∴ x=60

∴ Regular price of a ticket = $60

6 0
4 years ago
Read 2 more answers
Whoever answers this correctly gets 50+ points brainliest plz plz plz im on a time crunch
zysi [14]

Hey there we cannot see the question :D Sorry about that I would answer but I cannot!

d

3 0
3 years ago
Pls help me i will mark as brilliant<br>pls write the step​
djyliett [7]

1a) Firstly, lets start by expanding the brackets. x × x is x². So x(x+1) = x² + x. Then we do the second part. 2 × x = 2x and 2 × 1 = 2. Now we have

x² + 3x + 2.

Now what we do is simplify through quadratic formula. We look at the last digit which is 2. What two numbers multiplies to give you 2? 2 and 1. 2 x 1 = 2 and 2 + 1 = 3. Our second number is 3 so this is the right amount. so now we just put the two factors together. (x + 1)(x+2). This is the answer.

b) I have explained above and so am just gonna write the answers. After expanding we get x² + 2x + 1. We get simplify to

= (x + 1)(x+1)

c) y² + 3y + 4. This cannot be simplified into the format so we leave it like this.

d) = 0.

Have a go at the last ones by yourself, if you still need help, I am available!

4 0
3 years ago
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