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3 years ago

2.a)Find the prime factorizations of 90 and 168.

1 answer:

4 0

$90|2\\45|3\\15|3\\.\ 5|5\\.\ 1|\\\\90=2\cdot3\cdot3\cdot5\\\\168|2\\.\ 84|2\\.\ 42|2\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\168=2\cdot2\cdot2\cdot3\cdot7$

$100|2\\.\ 50|2\\.\ 25|5\\.\ \ 5|5\\.\ \ 1|\\\\100=2\cdot2\cdot5\cdot5\\\\126|2\\.\ 63|3\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\126=2\cdot3\cdot3\cdot7$

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Amita's kitchen is rectangular with an area of 3 and 3/4 square meters the width of the kitchen is 1 and 1/2 m what is the lengt

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Answer:

2 1 ÷ 2

Step-by-step explanation:

Given that

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So based on the above information, the length of Amita kitchen is

Here you divide the rectangular area by the width

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A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. it costs $4.20 per square

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To solve this problem you must apply the proccedure shown below:

1. You have that:

-The length is $x$ feet.

- The width is $y$ feet.

- The height is $z$ feet.

2. The box has one base. The cost of the base is:

$c1=4.20xy$

3. It has four sides. The cost of the sides are:

$c2=2(0.75yz)+2(0.75xy)\\ c2=1.5yz+1.5xy$

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3 years ago

7. What is the volume of the prism? 8 cm 5.8 cm A. 29 cm B. 87 cm3 15.2 cm C. 512.3 cm3 D. 705.3 cm

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The volume of the rectangular prism is

$V=L\times W\times H$

Where:

L is its length

W is its width

H is its height

From the given figure

L = 15.2 cm

W = 8 cm

H = 5.8 cm

Substitute them in the rule above

$\begin{gathered} V=15.2\times8\times5.8 \\ V=705.28\operatorname{cm}^3 \end{gathered}$

Round it to the nearest tenth

$V=705.3\operatorname{cm}^3$

Answer D

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1 year ago

Consider the expression 2√3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3 This expression can be represented as the product of the factors.

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Answer with explanation:

The given expression is:

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Option C

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3 years ago