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olchik [2.2K]
3 years ago
8

Mrs. Hill determined that 0.30 of the books in the library are mystery books. What fraction of the books are mystery books?

Mathematics
2 answers:
motikmotik3 years ago
7 0

Answer:

3/10

Step-by-step explanation:

0.30 = 3/100 = 3/10

Helga [31]3 years ago
4 0

You will turn 0.30 into a fraction, an when you do, you get 3/10, so that is your answer.

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A company makes candles in the shape of a right cone. The lateral surface of each candle is covered with
julia-pushkina [17]

Answer:

The amount of paper needed = 363.3 in²

Total amount of paper and plastic needed = 564.3 in

Step-by-step explanation:

As the diagram isn't given.

Consider a right cone shown in the ATTACHMENT.

where

r = 8 in

h = 12 in

First find the value of hypotenuse s by using Pythagoras theorem

<h3>Find Lateral Area:</h3>

The amount of paper needed to cover the candle is lateral area, which is given by:

L=\pi\cdot{r}\cdot{s}\\L =\pi\cdot8\cdot14.422\\L=363.3in^2\\

<h3>Find Surface Area:</h3>

Total amount of paper and plastic is the surface area:

S=L+\pi{r}^2\\S=363.3+\pi(8)^2\\S=564.26in^2

S=564.3in^2

7 0
4 years ago
Select the true statement about triangle ABC.
zmey [24]

Answer:

C

Step-by-step explanation:

sin C=12/13

cos A=12/13

so sin C=cos A

3 0
3 years ago
For what x-value(s) does cos(x) = 1?<br><br> -360°<br><br> 0°<br><br> 360°<br><br> all of the above
dlinn [17]
Cos(x) = 1 at 0 and 2pi 360 and -360 is the same angle as 2pi so all of the above if you start at 0 and make a complete circle (360) you will be back at point 0.

7 0
3 years ago
One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic cen
aliya0001 [1]

Answer:

<h2>C(V(r)) = 3.2πr3</h2>

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions V(r)= \pi r^{3} and C(V)=3.2V, where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

C(V(r))=3.2(\pi r^{3} )

Therefore, the right answer is the last choice.

8 0
3 years ago
Simplify 27 to the negative 2 thirds power. 9 1 over 9 negative 1 over 9 −9
zimovet [89]

Answer:

The answer is 1/9 ⇒ the second answer

Step-by-step explanation:

* In the exponential functions we have some rules

(1) b^(-m) = 1/(b^m)  (for all nonzero real numbers b)

- If we have negative power we reciprocal the base

 to get positive power

(2) (b^m)^n = b^(mn)

- If we have power over power we multiply them

* In our problem: (27)^{-\frac{2}{3}}

- At first change 27 to b^n

∵ 27 = 3 × 3 × 3 = 3³

∴ 27^{-\frac{2}{3}}=(3^{3})^{-\frac{2}{3}}

* Lets use rule (2)

∴ 27^{-\frac{2}{3}}=3^{-2} ⇒ 3 × -2/3 = -2

* Use rule (1)

∴ 3^{-2}=\frac{1}{3^{2}}=\frac{1}{9} ⇒ reciprocal the fraction to change the sig of the power

* The answer is 1/9

6 0
3 years ago
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