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NISA [10]
3 years ago
12

The dimensions of a portable kennel can be expressed as width x, length x + 0.4, and height x − 0.2? What are the dimensions of

a portable kennel with a volume of 7.4 ft3? Use a graphing calculator to solve. Round the dimensions to the nearest tenth.

Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

L=2.3\ ft\\W=1.9\ ft\\H=1.7\ ft

Step-by-step explanation:

we know that

The volume of a portable kennel (rectangular prism) is equal to

V=LWH

where

L=(x+0.4)\ ft\\W=x\ ft\\H=(x-0.2)\ ft

V=7.4\ ft^3

substitute the given values in the formula of volume

7.4=(x+0.4)(x)(x-0.2)

Apply distributive property right side

7.4=x(x^2-0.2x+0.4x-0.08)

7.4=x(x^2+0.2x-0.08)

7.4=x^3+0.2x^2-0.08x

x^3+0.2x^2-0.08x-7.4=0

Solve the cubic equation by graphing

using a graphing tool

The solution is x=1.9

see the attached figure

Find the dimensions

substitute the value of x

L=(1.9+0.4)=2.3\ ft\\W=1.9\ ft\\H=(1.9-0.2)=1.7\ ft

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cestrela7 [59]
Hello!

Well, if you do not count y as a vowel, we have 5 vowels. There are 26 letters in the alphabet, plus the 9 numbers gives us 35.

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As a percent, this is about a 14% chance of it generating a vowel.

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Hope this helped!
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Brainliest for correct answer<br><br> A. 2<br><br> B. -2<br><br> C. 1/2<br><br> D. -1/2
seropon [69]

Answer:

B) -2

Step-by-step explanation:

I got the slope by using two points on the line (0,7) and (4,-1)

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(7--1)/(0-4)

=

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I then simplified 8/-4 to -2

You could also solve by finding the rise over run for two points on the line.

The rise is 2 and the run is -1, making it 2/-1 or -2

8 0
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Answer:

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Step-by-step explanation:

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Complete question :

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Answer:

B

Step-by-step explanation:

BOX plots provide information about :

Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.

Given the dataset :

24, 25, 29, 30, 31, 31, 32, 34, 34

Minimum value = 24 (Lowest value in the dataset)

First quartile (Q1) = 1/4(n+1)th term

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Second quartile ; median (Q2) = 1/2(n+1)th term

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End line of box = Q3

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