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borishaifa [10]
2 years ago
7

What is the surface area of the box if it is scaled up by the factor of 10 and the surface area is 16in

Mathematics
1 answer:
algol [13]2 years ago
3 0
If each linear dimension is scaled by a factor of 10, then the area is scaled by a factor of 100. This is because 10^2 = 10*10 = 100. Consider a 3x3 square with area of 9. If we scaled the square by a linear factor of 10 then it's now a 30x30 square with area 900. The ratio of those two areas is 900/9 = 100. This example shows how the area is 100 times larger.

Going back to the problem at hand, we have the initial surface area of 16 square inches. The box is scaled up so that each dimension is 10 times larger, so the new surface area is 100 times what it used to be

New surface area = 100*(old surface area)
new surface area = 100*16
new surface area = 1600

Final Answer: 1600 square inches

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21. The difference between two numbers is 29. If five times the smaller is subtracted from twice the larger,
Ymorist [56]

Answer: 48

Step-by-step explanation:

We have to write a system of equations:

The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.

y-x =29

If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)

The result will be one

2y-5x =1

Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:

2y -2x = 58

-

2y-5x =1

__________

3x =57

Solve for x:

x =57/3 =19

Replacing the value of x on any equation:

y-x =29

y-19 =29

y = 29+19 = 48

48 (y)> 19(x)

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
A quadrilateral has interior angle measures of 65°, 75°, and 121°. What is the measure of the fourth interior angle in the quadr
harina [27]
The measure of the fourth interior angle in the quadrilateral is 145

6 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment with end coordinates of:<br><br>(-4,-4) and (-4,-8)
Leviafan [203]

Answer:

(-4, -6)

Step-by-step explanation:

(x,y) = ((x1+x2)/2 , (y1+y2)/2)

[substitute the values given]

(x,y) = ((-4+-4)/2 , (-4+-8)/2)

[solve]

(x,y) = (-8/2 , -12/2)

[simplify]

(x,y) = (-4, -6)

8 0
2 years ago
Write the expression in complete factored form. y^2(q-4)-c(q-4)
Snowcat [4.5K]

Factor y^2(q−4)−c(q−4)

qy^2−cq−4y^2+4c

=(y^2−c)(q−4)

Answer:

(y^2−c)(q−4)


Hope i helped have a wonderful day...

Can i get a Brainliest please and thank you...

7 0
2 years ago
Your grandfather tells you that he has four coins in his pocket. He has no pennies, and no coin is worth more than a quarter. Ca
garik1379 [7]

Answer:

20 cents

Step-by-step explanation:

Possible coins in grandfather's pocket include : nickel, dime, quarter

A nickel = 5 cents

A dime = 10 cents

A quarter = 25 cents

First combination= nickel+dime+quarter+quarter

Second combination=nickel+quarter+quarter+quarter=

Third combination= dime+quarter+quarter+quarter

Third combination=quarter+quarter+quarter+quarter

4th combination = nickel + nickel+dime+quarter

5th combination= nickel +nickel+nickel+dime

6th combination =nickel+nickel+nickel+quarter

7th combination= nickel + nickel + nickel +nickel

8th combination = dime + dime +quarter +nickel

9th combination = dime +dime+dime+quarter

10th combination =dime+dime+dime+nickel

11th combination=dime+dime+dime+dime

If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, then all coins are below ten cents and all coins are nickels = 4 nickels ×5 = 20 cents

3 0
3 years ago
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