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WINSTONCH [101]
3 years ago
8

Use the formula S equals 2 left-parenthesis l w right-parenthesis plus 2 left-parenthesis l h right-parenthesis plus 2 left-pare

nthesis w h right-parenthesisto find the surface area of a rectangular prism with the following dimensions: length = 2 cm width = 3 cm height = 4 cm. Whats the answer?
Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer: 52 square cm

Step-by-step explanation:

The given surface area formula of a rectangular prism,

S = 2 wl + 2 lh + 2 hw

Where  is the length, w is the width and h is the height of the prism,

Here, length, l = 2 cm,

Width, w = 3 cm

And, Height, h = 4 cm

Thus,The required surface area of the prism,

S = 2 × 3 × 2 + 2 × 2 × 4 + 2 × 4 × 3

S = 12 + 16 + 24 = 52 square cm.

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My brainy brother and sister added their ages together and got 15. When they multiplied their ages together, they got 54. How ol
Vinvika [58]

Given:

Sum of ages of brother and sister = 15

Product of their ages = 54

To find:

How old is the older one between the two of them?

Solution:

Let x be the age of brother and y be the age of sister.

Sum of ages of brother and sister = 15

x+y=15

x=15-y                ...(i)

Product of their ages = 54

xy=54

(15-y)y=54                [Using (i)]

15y-y^2=54

0=54-15y+y^2

Splitting the middle term, we get

54-15y+y^2=0

54-9y-6y+y^2=0

9(6-y)-y(6-y)=0

(6-y)(9-y)=0

Using zero product property, we get

(6-y)=0\text{ and }(9-y)=0

y=6\text{ and }y=9

If y=6, then using (i), we get

x=15-6

x=9

If y=9, then using (i), we get

x=15-9

x=6

Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.

6 0
3 years ago
Which expressions are equivalent Log 2- log 8
Aleksandr [31]

Answer:

log(.25)

Step-by-step explanation:

log(a)-log(b)=log(\frac{a}{b})\\log(2)-log(8)=log(\frac{2}{8})\\log(\frac{1}{4})

8 0
3 years ago
James is five years older than David. The sum of<br> their ages is 89. How old is David?
Dafna1 [17]

Answer:

Let David's age be x years

=>  James' age = x+5 years

David + James = 89

=> x + x+5=89

=> 2x=84

=> x=84/2=42 years

David's age is 42 years

5 0
3 years ago
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-Write 0.875 as a reduced fraction
ValentinkaMS [17]
<span>We can reduce this fraction, 875 / 1000 to lowest
terms by dividing both the numerator and denominator by 125 ;
</span><span>Why divide by 125? 125 Greatest Common Factor (GCF) of the numbers 875 and 1000.
So, this fraction reduced to lowest terms is 7 / 8 ;
In the same way, 35 / 100 is reduced to lowest terms as 7 / 20 ;</span>
7 0
3 years ago
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The area of a rectangle is 36x – 24 square units. The length is 12. Find the width.
lutik1710 [3]

Answer:

36x - 24 / 12 = 3x-2 I think

8 0
3 years ago
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