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Ber [7]
3 years ago
10

A birthday present is placed into a rectangular shoe-box. The box has the following dimensions: 3 inches by 7 inches by 8 inches

. What is the minimum amount of wrapping paper needed to cover the entire box?
a.146 sq. in.
b.101 sq. in.
c.202 sq. in.
d.168 sq. in.
Mathematics
1 answer:
Lorico [155]3 years ago
7 0

Answer:

c. 202 sq. in

Step-by-step explanation:

2× (3×7 + 3×8 + 7×8)

= 2 × ( 21+24+56)

= 2× (101)

= 202

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A bus makes a stop at 2:30, letting off 10 people and letting on 2. The bus makes another stop ten minutes later to let off 3 mo
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Answer:

Step-by-step explanation:

B

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4 years ago
What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?
blondinia [14]

Answer: y + 3 = 4 (x +1 )

Step-by-step explanation:

The eqution of a line in point- slope form is given as :

y-y_{1} = m(x-x_{1} )

Where m is the slope and (x_{1} , y_{1}) is the given point

substituting the values into the formula , we have:

y - (-3) = 4 ( x - {-1) )

y + 3 = 4 ( x + 1)

This is the equation of the line in point-slope form.

8 0
3 years ago
Pigeon Hole Principle :
yaroslaw [1]

Answer:

A proof can be as follows:

Step-by-step explanation:

Let S=\{a_{1},a_{2},...,a_{n},a_{n+1}\} be a set of n+1 integers. By the division algorithm the possible remainders when we divide by n are 0,1,2,....,n-1. Then, each integer a_{i}\in S can be written as:

a_{i}=np_{i}+r_{i},\,\,0\leq r_{i}

Observe that the set of remainders \{r_{1},r_{2},...,r_{n+1}\} has n+1 elements and each element has n possible values. By the Pigenhole principle at least two remainders have the same value. Suppose that this two elements are a_{i}, a_{j}. Then,

\begin{array}{c}a_{i}=np_{i}+r\\a_{j}=np_{j}+r\end{array}

Where r_{i}=r_{j}=r. Then,  a_{i}-a_{j}=np_{i}-np_{i}=n(p_{i}-p_{j}). Then we have that n divides a_{i}-a_{j}.

5 0
3 years ago
Is 419108 divisible by 4?​
Ksivusya [100]

Answer:

419,108 is divisible by 4

Step-by-step explanation:

419,108 is divisible by 4, if there is an integer 'n' such that 419,108 = 'n' × 4.

4 0
3 years ago
Read 2 more answers
Given the equation, what is the center and radius of the circle? <br> (X-2) ^2+ (Y+11)^2=100
LekaFEV [45]

Answer:

Center: (2, -11)

Radius: 10

Step-by-step explanation:

(x - 2)² + (y + 11)² = 100

(x - h)² + (y - k)² = r²

-------------------------------

x - 2 = 0

  +2   +2

x = 2

------------

y + 11 = 0

   -11    -11

y = -11

------------------------------

r² = 100

r = √100

r = 10

----------------------------

Center: (h, k)

Radius: r

-------------------------------

Center: (2, -11)

Radius: 10

I hope this helps!

3 0
2 years ago
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