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3 years ago

5

a rectangular prism is 5 inches wide and has a volume of 30 cubic inches if the width of the rectangular prism is doubled what i

s the volume of the new rectangular prism and I need work to PLEASE HELP ME

1 answer:

Nimfa-mama [501]3 years ago

8 0

Volume = W*L*H
30 = 5*L*H old one
Volume = 2*5*L*H new one
Volume new one = 2*5*L*H =2*(5*L*H)=2*30=60
Answer is C

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3 years ago

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A circle has an area of 153.86 units2 and a circumference of 43.96 units. If the radius is 7 units, what can be said about the r

dusya [7]

Step-by-step explanation:

$\text{Circumference:}\\\\C=2\pi r\\\\\text{Area:}\\\\A=\pi r^2\\\\\dfrac{A}{C}=\dfrac{\pi r^2}{2\pi r}\qquad\text{cancel}\ \pi\ \text{and}\ r\\\\\dfrac{A}{C}=\dfrac{r}{2}\\\\\bold{The\ number\ of\ areas\ of\ a\ circle\ is}\ \dfrac{r}{2}\ \bold{larger\ than\ its\ circumference}.$

$\text{For a given area and circumference}:\\\\A=153.86,\ C=43.96,\ r=7\\\\\dfrac{A}{C}=\dfrac{153.86}{43.96}=3.5=\dfrac{7}{2}=\dfrac{r}{2}\\\\\dfrac{A}{C}=\dfrac{r}{2}$

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3 years ago

I need help on number 19 and 20

Alisiya [41]

Answer:

Explanation:

19.

P = 2(x - 3 + 7x + 1)
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20.

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3 years ago

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Is the function even or odd?

sweet [91]

Answer:

$f(\theta)=\cos(\theta)$ is an even function.

Step-by-step explanation:

Recall when it means when a function is even or odd. An even function has the following property:

$f(-x)=f(x)$

And an odd function has the following property:

$f(-x)=-f(x)$

So, let's test some values for cos(x).

Let's use π/3:

$f(\pi/3)=\cos(\pi/3)$

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).

Now, let's find -π/3. This is the same as 5π/3. Thus:

$f(-\pi/3)=\cos(-\pi/3)$

And again from the unit circle, we can see that this is 1/2.

Therefore, despite the negative, the function outputs the same value.

Cosine is an even function.

Notes:

Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!

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3 years ago

Calculate the volume of a cylinder, radius 12.5 cm and height 14 cm

Morgarella [4.7K]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=12.5\\
h=14
\end{cases}\implies V=\pi \cdot 12.5^2\cdot 14$

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4 years ago