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irinina [24]
3 years ago
11

Jody has a plastic container in the shape of a rectangular prism. The container is 8 1/2 inches long, 4 inches wide, and 3 1/2 i

nches high. What is the volume of this plastic container?
Mathematics
2 answers:
Inessa05 [86]3 years ago
7 0

Answer:

=119 in ^3

Step-by-step explanation:

The volume of a rectangle prism is given by

V = l*w*h

Changing to decimal form

  = 8 .5 * 4 * 3.5

  =119 in ^3

lawyer [7]3 years ago
7 0

Answer: 119^3

Step-by-step explanation:

To find out the volume of a rectangular prism you have to multiply length x width x height.

8.5 x 4 = 34

34 x 3.5 = 119^3

You might be interested in
64, –48, 36, –27, ...
daser333 [38]

Answer:

f(x + 1) = -(3/4)*f(x)

(second option)

Step-by-step explanation:

Here we have the sequence:

64, -48, 36, -27, ...

First, we can notice two things:

Each term has a different sign than the previous term, so the relation is something like:

f(x + 1) = -k*f(x)

Now to find the value of k, we can just replace some of the values (for example, the first and the second one)

-48 = -k*64

48/64 = k

3/4 = k

Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:

36 = -k*(-48)

36 = k*48

36/48 = k

3/4 = k

We got the same value, so we can conclude that k = (3/4)

Then the relation that describes this sequence is:

f(x + 1) = -(3/4)*f(x)

5 0
3 years ago
Read 2 more answers
The piecewise function h(x) is shown on the graph.
Ray Of Light [21]

Answer:

00

Step-by-step explanation:

3 0
3 years ago
Solve the inequality.
aniked [119]
I hope this helps you




-2p <20-4


-2p <16


-p <8


p> -8
7 0
3 years ago
PLEASE HELP.
krek1111 [17]

Answer:

Part a) The radii are segments AC and AD and the tangents are the segments CE and DE

Part b) DE=4\sqrt{10}\ cm

Step-by-step explanation:

Part a)

we know that

A <u>radius</u> is a line from any point on the circumference to the center of the circle

A <u>tangent</u> to a circle is a straight line which touches the circle at only one point. The tangent to a circle is perpendicular to the radius at the point of tangency.

In this problem

The radii are the segments AC and AD

The tangents are the segments CE and DE

Part b)

we know that

radius AC is perpendicular to the tangent CE

radius AD is perpendicular to the tangent DE

CE=DE

Triangle ACE is congruent with triangle ADE

Applying the Pythagoras Theorem

AE^{2}=AC^{2}+CE^{2}

substitute the values and solve for CE

14^{2}=6^{2}+CE^{2}

CE^{2}=14^{2}-6^{2}

CE^{2}=160

CE=\sqrt{160}\ cm

CE=4\sqrt{10}\ cm

remember that

CE=DE

so

DE=4\sqrt{10}\ cm

7 0
3 years ago
The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/2 ampere when t
Sav [38]

Answer:

The current is 0.08 ampere.

Step-by-step explanation:

Given:

The current is 1/2 ampere when the resistance is 400 ohms.

Now, the current I in an electrical conductor varies inversely as the resistance R of the conductor.

So, as per formula  I = \frac{k}{R}

Solving for "k" using the current  1/2 amperes when the resistance is 400 ohms.

\frac{1}{2} = \frac{k}{400}

By cross multiplication we get:

2k=400\\k=\frac{400}{2}=200

Putting the value of k for solving the equation:

I =\frac {200}{R}

Now, the current when the resistance is 2500 ohms:

I = \frac{200}{2500}

I = 0.08

I = 0.08 ampere.

Therefore, the current is 0.08 ampere.

8 0
3 years ago
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