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Likurg_2 [28]
3 years ago
7

In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.

Mathematics
1 answer:
slava [35]3 years ago
4 0

c

blahblahblahblahblahblahblah

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the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base​
wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

<u>According to question</u>

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 =  2 ×(l × b + b × h + h × l)

Or,  (l × b + b × h + h × l) = \dfrac{95}{2}          ....1

<u>Similarly</u>

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = \dfrac{63}{2}              ......2

Putting value of eq 2 into eq 1

so,  (l × b +  \dfrac{63}{2} ) = \dfrac{95}{2}    

Or, l × b = \dfrac{95}{2} - \dfrac{63}{2}    

Or,  l × b = \dfrac{95 - 63}{2}

i.e l × b = \dfrac{32}{2}

so, l × b = 16

<u>Now, Again</u>

∵The Area of the base = ( length × breadth ) cm²

So, z =  l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

5 0
3 years ago
Write y+7 = 2/3 (4x-6) in standard form using integers
Marrrta [24]

9514 1404 393

Answer:

  8x -3y = 33

Step-by-step explanation:

Multiply by 3 to eliminate the fraction. Then rearrange to standard form.

  y +7 = 2/3(4x -6) . . . . . . . given

  3(y +7) = 2(4x -6) . . . . . . . multiply by 3

  3y +21 = 8x -12 . . . . . . . . eliminate parentheses

  33 = 8x -3y . . . . . . . . . . add 12-3y to both sides

  8x -3y = 33 . . . . . . . . . swap sides to put into standard form

_____

Standard form has mutually prime integer coefficients, the leading one being positive.

4 0
2 years ago
What expressions are equivalent to 7^3 * 7^x
solong [7]

Answer:

The question = (7^3)*(7^x)

When multiplying two exponents with the same base, all you do is add the exponents together and keep the same base

Therefore,

(7^3)*(7^x) = 7^(3+x)

Step-by-step explanation:

7^3+x is the answer

3 0
3 years ago
I already made a model to represent 8 feet.
Olin [163]
Good Job, Kiddo! Thats all I have to say so bye?
6 0
3 years ago
Which situation is an example of an observational study?
Ymorist [56]

Answer:

it finding the number of jelly beans

Step-by-step explanation:

6 0
3 years ago
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