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Gekata [30.6K]
3 years ago
12

the library plans to add 1,000 books to its collection if the library can fit 15 books on each foot o shelving will the library

have enough room on the new shelves for all the new books
Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Answer: The anwser is 300

Step-by-step explanation:

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Suppose a circle has a radius of 13 inches. How far would a 24 inch chord be from the center of the circle? (Hint: Draw a diagra
lys-0071 [83]

Answer:

Step-by-step explanation:

Directions

  • Draw a circle
  • Dear a chord with a length of 24 inside the circle. You just have to label it as 24
  • Draw a radius that is perpendicular and a bisector through the chord
  • Draw a radius that is from the center of the circle to one end of the chord.
  • Label where the perpendicular radius to the chord intersect. Call it E.
  • You should get something that looks like  the diagram below. The only thing you have to do is put in the point E which is the midpoint of CB.

Givens

AC = 13 inches                   Given

CB = 24 inches                  Given

CE = 12 inches                    Construction and property of a midpoint.

So what we have now is a right triangle (ACE) with the right angle at E.

What we seek is AE

Formula

AC^2 = CE^2 + AE^2

13^2 = 12^2 + AE^2

169 = 144 + AE^2                     Subtract 144 from both sides.

169 - 144 = 144-144 + AE^2     Combine

25 = AE^2                                Take the square root of both sides

√25 = √AE^2

5 = AE

Answer

The 24 inch chord is 5 inches from the center of the circle.

4 0
2 years ago
Read 2 more answers
The volume of the can is____?<br> There are ____cups of juice in a can
GalinKa [24]

Answer:

Step-by-step explanation:

radius = diameter / 2 = 5/2 = 2.5 in

V = radius^2 x pI x height = 2.5^2 x pi x 8 = 157.1 in^3 (round to the nearest tenth)

cups = Volume of a can / Volume of a cup = 157.1 / 14.44 = 10.9 (round to the nearest tenth)

6 0
2 years ago
X is normally distributed with mean 250 and standard deviation 40. what value of x does only the top 15% exceed?
lubasha [3.4K]
The top 15% (85th percentile) is the cutoff value x such that

\mathbb P(X\le x)=\mathbb P\left(\dfrac{X-250}{40}\le\dfrac{x-250}{40}\right)=\mathbb P(Z\le z)=0.85

where z is the corresponding cutoff for the standardized normal distribution. We have z\approx1.0364, and so

\dfrac{x-250}{40}=z\implies x\approx291.456
3 0
3 years ago
You invest 3000 in an account that pays simple interest of 7% for 30 years​
Colt1911 [192]

Answer: the amount of interest is $630.00

Step-by-step explanation:

www . webmath . com i used this website to calculate the interest. it was really helpful for me and i hope it helps you! ( had to put it like that so i could submit.

6 0
3 years ago
If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k​
koban [17]

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

<u>-TheUnknownScientist</u><u> 72</u>

7 0
2 years ago
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