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balandron [24]
3 years ago
10

100 points!! Brainliest if correct!!

Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0

surface area (S) of a right rectangular solid is:

S = 2*L*W + 2*L*H + 2*W*H (equation 1)

where:

L = length

W = width

H = height

-----

you have:

L = 7

W = a

H = 4

-----

formula becomes:

S = 2*7*a + 2*7*4 + 2*a*4

simplify:

S = 14*a + 56 + 8*a

combine like terms:

S = 22*a + 56

-----

answer is:

S = 22*a + 56 (equation 2)

-----

to prove, substitute any value for a in equation 2:

let a = 15

S = 22*a + 56 (equation 2)

S = 22*15 + 56

S = 330 + 56

S = 386

-----

since a = 15, then W = 15 because W = a

go back to equation 1 and substitute 15 for W:

S = 2*L*W + 2*L*H + 2*W*H (equation 1)

where:

L = length

W = width

H = height

-----

you have:

L = 7

W = 15

H = 4

-----

equation 1 becomes:

S = 2*7*15 + 2*7*4 + 2*15*4

perform indicated operations:

S = 210 + 56 + 120

S = 386

-----

surface area is the same using both equations so:

equations are good.

formula for surface area of right rectangle in terms of a is:

S = 22*a + 56

-----

Romashka [77]3 years ago
8 0

2(2x * 2x+1) + 2(2x * x+3) + 2(2x+1 * x+3)

Use distributive property on each set of terms:

2(4x^2+2x) + 2(2x^2+6x) + 2(2x^2 +7x+3)

Use the distributive property again:

8x^2 + 4x + 4x^2 +12x + 4x^2 +14x +6

Now simplify by combining like terms:

16x^2 + 30x +6

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Side note: It’s ratio math
Elanso [62]

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5 0
3 years ago
Multiplying and simplify radicals!
astra-53 [7]

Answer:

10√5 - 5√2

or

5(2√5 - √2)

Step-by-step explanation:

Given:

2√5(5 - 5√5)

Required:

Multiply and simplify

Solution:

2√5(5 - 5√5)

Apply distributive property by multiplying each term in the bracket by 2√5

2√5*5 - 2√5*5√5

2*5√5 - 2*5√5*√5

10√5 - 10√25

10√5 - 10*5

10√5 - 50

10√5 - (25*2)

10√5 - 5√2

Or

5(2√5 - √2)

3 0
3 years ago
So I’m not smart so like help meh pleasee<br><br> What is 49% of 200?
____ [38]

Answer:98

Step-by-step explanation:

We assume, that the number 200 is 100%.if 200 is 100%, so we can write it down as 200=100%.We also know, that x is 49% of the output value, so we can write it down as x=49%.Now we have two simple equations:

1) 200=100%

2) x=49%

we multiply both sides of the equation by x.then we divide both sides of the equation.

3 0
3 years ago
Please put into slope intercept form and please SHOW THE WORK
daser333 [38]
5x+y= -5 , i hope I help you
8 0
3 years ago
Read 2 more answers
4% of _____ days is 56 days
schepotkina [342]
We have an equation: 56/? = 4/100

Cross multiply:
4*? = 56*100
⇒ ? = 56*100/4
⇒ ?= 1,400

4% of 1,400 days is 56 days~
4 0
3 years ago
Read 2 more answers
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