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Paraphin [41]
3 years ago
12

For a rectangular prism, if the base length was shrunk by a factor of two-thirds, the width was quadrupled, and height was cut i

n half, how would the changes affect the surface area formula? The attachment has the problem and the answer choices. Thanks.

Mathematics
1 answer:
Luden [163]3 years ago
5 0
Surface area = 2(wl + hl + hw) = 2wl + 2hl + 2hw

Conditions:
base length is shrunk by a factor of 2/3
width is quadrupled
height is cut in half.

l ⇒ 2l/3 w ⇒ 4w ; h ⇒ h/2

SA = <span>2wl + 2hl + 2hw
</span>SA = 2(4w)(2l/3) + 2(h/2)(2l/3) + 2(h/2)(4w)
SA = (16wl/3) + 4hl/6 + 8hw/2

Simplify:

SA = 16/3 wl + 2/3 hl + 4hw   Choice C.


You might be interested in
If z varies jointly with x and y, x = 2 and y = 2, z = 7. Find z when x = 4 and y = 8.
Wittaler [7]

Answer:

56

Step-by-step explanation:

z varies jointly with x and y:

z = kxy

When x = 2 and y = 2, z = 7.

7 = k(2)(2)

k = 7/4

z = 7/4 xy

When x = 4 and y = 8:

z = 7/4 (4)(8)

z = 56

7 0
3 years ago
I just need lol. jdjdj​
irakobra [83]

Answer:

21

Step-by-step explanation:

trust bro

3 0
3 years ago
the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers
irakobra [83]
X, y - the numbers

The sum of the two numbers is 9.
x+y=9

If one number is subtracted from the other, the result is 3.
x-y=3

Solve the system of equations:
x+y=9 \\&#10;\underline{x-y=3} \\&#10;x+x=9+3 \\&#10;2x=12 \ \ \ |\div 2 \\&#10;x=6 \\ \\&#10;x+y=9 \\&#10;6+y=9 \ \ \ |-6 \\&#10;y=3

The numbers are 6 and 3.
6 0
3 years ago
Read 2 more answers
Milie mode 20 cookies for her class's porty, 8 of the
nadezda [96]

Answer:

40%

Step-by-step explanation:

It is 40% because 8/20 times 5 is 40/100 and that is 40%.

8 0
3 years ago
What is the answer??????
dexar [7]

Answer:

38 5/28

Step-by-step explanation:

Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.

Find the LCD (Least Common Denominator)  of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)  

LCD = 28

21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is

converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7

Applying the fractions formula for addition,

(99×7) + (94×4) / 4×7

= 693+376 / 28 =  

= 1069/ 28

Simplifying 1069/28, the answer is

= 38 5/28

And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example

38 5/28.

28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!

Hope this helps! (sorry I took so long)

~R.C aka dj

 

6 0
3 years ago
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