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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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Answer:

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Step-by-step explanation:

The non-fillee dots stop at the 98 row and the 0.2 column.

98 + 0.2 = 98.2

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2 years ago
What is sin 63°? Round your answer to the nearest hundredth
Advocard [28]

Answer:

0.891

Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
6: REDUCE to simplest term. 4/1 + 15/2​
vovangra [49]

Answer:

\frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

Step-by-step explanation:

Given the expression

\frac{4}{15}+\:\frac{1}{2}

Thus, solving to reduce to the simplest term

\frac{4}{15}+\frac{1}{2}

LCM of 15, 2: 30

Adjusting fraction based on the LCM

so the expression becomes

\frac{4}{15}+\:\frac{1}{2}=\frac{8}{30}+\frac{15}{30}

Apply the fraction rule:      \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

            =\frac{8+15}{30}

Add the numbers: 8+15 = 23

            =\frac{23}{30}

Therefore, \frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

4 0
2 years ago
Three percent of the caterpillars metamorphosed into butterflies. If Ramona could count 120 butterflies, how many caterpillars h
Harman [31]
The answer to your problem would be 400 because to find the answer you need to multiply 120 by .3 to get the answer because 3 % means per 100 and that is why you make it .3 hope i help.
3 0
2 years ago
Can someone please explain to me why and how this equates to 7.4%??????
Mumz [18]

so, you're correct, it is the Food industry, and it went down from 2.7 to 2.5, well, so it really went down 2.7 - 2.5 or 0.2.


well, if we take 2.7 to be the 100% from that row, what is 0.2 off of it in percentage format?


\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2.7&100\\ 0.2&x \end{array}\implies \cfrac{2.7}{0.2}=\cfrac{100}{x}\implies x=\cfrac{0.2\cdot 100}{2.7}\implies x\approx\stackrel{\%}{7.4}

5 0
2 years ago
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