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Sunny_sXe [5.5K]
3 years ago
5

Please help!! What is the lateral area of the prism?

Mathematics
1 answer:
maw [93]3 years ago
5 0
<span>Surface area of a right prism can be calculated using this formula:
SA 5 2B 1 HP.
B is the area of the base, H is the height of the prism, P is the premier of the base.
Lateral area of a figure is the area of the non-base faces only.
Hope this helped</span>
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if alpha and beta are the roots of the equation 3x^2-9x+2=0 find the values of: (I) alpha ×beta + alpha^2 × beta. (ii) alpha^2-a
Kryger [21]

Answer:

in steps

Step-by-step explanation:

The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers  for each questions

3x²-9x+2=0

x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)

x = (9 + √57) / 6   or x = (9 - √57) / 6      (alpha and beta) or (beta and alpha)

(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)

   = ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))  

   = ((9² - (√57)²)/36) (10 ± √57)

   = (24/36) (10 ± √57)

   = 2/3 (10 ± √57)   or (11.7 or 1.63)

(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab

if a is alpha    

=​ ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))  

    = √57/3 + 2/3

     = (√57 + 2) / 3

if a is beta

((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))  

    = - √57/3 + 2/3

     = - (√57 + 2) / 3

3 0
3 years ago
Nash's Trading Post, LLC took a physical inventory on December 31 and determined that goods costing $208,000 were on hand. Not i
Gemiola [76]

Answer:

$261,500

Step-by-step explanation:

What amount should Nash report as its December 31 inventory?

Item                                                             Amount

Goods on hand as per physical count    $208,000

(+) Goods purchased from Swifty             $30,000

Corporation FOB shipping point    

(+) Goods sold to Marigold Corp               <u>$23,500</u>

FOB destination (at cost value)

Ending inventory                                        <u>$261,500</u>

<u />

<em>Notes</em><u>: </u>

1) In case of FOB shipping point, the ownership of goods is transferred to the buyer when the goods are shipped and hence in the case of purchases from Swifty corporation, the goods should be included in the inventory of Nash's Trading Post as the goods are shipped and are in transit.

2) In case of FOB destination, the ownership of goods is transferred to the buyer when the goods reaches to the buyer, hence in the case of sales made to Marigold Corp, the goods are still in transit and the ownership is not transferred to Marigold Corp, hence Nash's Trading Post should included that goods in its inventory.

7 0
3 years ago
Can you have a right triangle where the lengths of the legs are whole numbers and the length of the hypotenuse is 23? Explain.
dezoksy [38]
No you can't because a right angle is 90
7 0
3 years ago
Read 2 more answers
Given f(x) = | – 5 – 4x| ,find the following:
jasenka [17]

Answer:

f(10) = 35 \\  \\ f( - 11) = 39 \\  \\ f(12) = 53 \\  \\ f(2) = 13

Step-by-step explanation:

f(x)  =  | - 5 - 4x|

To solve for the following substitute the value of x in the brackets into the above formula and solve for the value of x

<u>NB</u><u>:</u><u> </u> Absolute value of a negative number is the same number but positive.

So we have

f( - 10) =  | - 5 - 4( - 10)|  \\  =  | - 5 + 40|  = 35 \\  \\ f( - 11) =  | - 5 - 4( - 11)|  \\  =  | - 5 + 44|  = 39 \\  \\ f(12) =  | - 5 - 4(12)|  \\  =  | - 5 - 48|   \\  =  | - 53|  = 53 \\  \\ f(2) =  | - 5 - 4(2)|  \\  =  | - 5 - 8|  =  | - 13|  \\  = 13

Hope this helps you

6 0
3 years ago
Read 2 more answers
Solve for the unknown variable 5/3(4x-5)=4x-1/3
charle [14.2K]

Answer:

x=3

Step-by-step explanation:

its should be equal

6 0
3 years ago
Read 2 more answers
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