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Dennis_Churaev [7]
3 years ago
12

Lily is using wrapping paper to cover a box with dimensions 7 centimeters by 10 centimeters by 5 centimeters. What is the least

amount of paper Lily will need to cover the box?
Mathematics
1 answer:
Leto [7]3 years ago
4 0
Answer: 310 centimeters square of paper

Explanation: to find the answer you need to know the surface area of the box. So you use the formula SA = 2ab+2bc+2ac
A=7
B=10
C=5
After inputting the values you get:
SA = 2(7)(10) + 2(10)(5) + 2(7)(5)
and after simplifying:
SA = 140+100+70
SA=310
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PLEASEE HELPPPP IVE BEEN WAITING FOR HOURS!!!!!
kozerog [31]

Answer:

The perimeter is 32\sqrt{7} cm.

Step-by-step explanation:

Perimeter is found by adding all sides of the triangle together. So, this is what we need to find: 8\sqrt{7}+4\sqrt{63}+6\sqrt{28}

  • Only <u>like radicals</u> can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.

Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7:        7/7 = 1,          63/7 = 9,         28/7 = 4.

Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.

8\sqrt{7} remains the same;    4\sqrt{63}=4\sqrt{9(7)} =4(3)\sqrt{7}=12\sqrt{7}; and

6\sqrt{28}=6\sqrt{4(7)}=6(2)\sqrt{7}=12\sqrt{7}. Now they are like radicals and can be added!

8\sqrt{7}+12\sqrt{7}+12\sqrt{7}=32\sqrt{7}

3 0
2 years ago
3 to the 2 power times 5 to the 3 times 8 divided by 3 times 5 to the 3 times 8
IceJOKER [234]

Answer:

42

Step-by-step explanation:

First condense all the numbers with exponents:

3² x 5³x 8 divided by 3 x 5³ x 8

27 x 125 x 8  divided by 3 x 27 x 8

Then multiply 27 , 125 ,and 8

27 x 125 x 8 =27000

Then multiply 3, 27 ,and 8

3 x 27 x 8 = 648

Then divide 27000 by 648

27000 / 648 = 41.6666666667

Which rounds to about: 42

3 0
4 years ago
There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?
Lady bird [3.3K]

Answer:

500 bricks.

Step-by-step explanation:

There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?

To solve e the above question, we have:

20 feet high = 250 bricks

40 feet high = x bricks

Cross Multiply

20 feet × x bricks = 40 feet × 250 bricks

x bricks = 40 feet × 250 bricks/20 feet

x bricks = 500 bricks

Therefore, 500 bricks will be used to build a wall is 40 feet high.

6 0
3 years ago
Identify the standard form of the equation by completing the square.
OLEGan [10]

Answer:

\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Step-by-step explanation:

<u>Given equation</u>:

4x^2-9y^2-8x+36y-68=0

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

\implies 4x^2-8x-9y^2+36y=68

Factor out the coefficient of the x² term and the y² term.

\implies 4(x^2-2x)-9(y^2-4y)=68

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2

\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36

Factor the two perfect trinomials on the left side:

\implies 4(x-1)^2-9(y-2)^2=36

Divide both sides by the number of the right side so the right side equals 1:

\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}

Simplify:

\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Therefore, this is the standard equation for a horizontal hyperbola with:

  • center = (1, 2)
  • vertices = (-2, 2) and (4, 2)
  • co-vertices = (1, 0) and (1, 4)
  • \textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}
  • \textsf{Foci}: \quad  (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)

4 0
2 years ago
Find the value of n: 7n-12=16
MAVERICK [17]

Answer:

4.

Step-by-step explanation:

7n - 12 = 16

7n = 16 + 12 = 28

Since 7n = 28, n = 28 / 7 = 4.

4 0
3 years ago
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