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stira [4]
3 years ago
7

Nico is trying to divide a 6 by 4 inches of rectangular cartoon sheet into pieces of squares. Given that he used up all of the m

aterials and that all squares are of similar dimensions, what is the minimum number of squares he can produce?
Mathematics
1 answer:
ELEN [110]3 years ago
6 0

Answer:

Minimum of 6 squares.

Step-by-step explanation:

The dimension of the rectangular carton = 6 by 4 inches.

The area of the carton = length x width

                                      = 6 x 4

                                       = 24 square inches

Assume that we have a square of side length 2 inches, then;

area of the square = length x length

                               = 2 x 2

                               = 4 square inches

So that since all materials is to be used,

the minimum number of squares that it can produce = \frac{24}{4}

                                                           = 6

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How many solutions will a problem have if the linear equations have the same slope and y intercept
Pepsi [2]
If the y-intercepts are the same, the two equations represent the same line and there are INFINITELY MANY SOLUTIONS
7 0
3 years ago
Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution. What is th
Mekhanik [1.2K]

Answer: 0.8413

Step-by-step explanation:

Given : Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution.

Mean : \mu=47

Standard deviation : \sigma= 4

Let x be the random variable that represents the typing speeds for the students.

The z-score :-

z=\dfrac{x-\mu}{\sigma}

For x= 51

z=\dfrac{51-47}{4}=1

Using the standard normal distribution table ,the probability that a randomly selected student has a typing speed of less than 51 words per minute :-

P(x

Hence, the probability that a randomly selected student has a typing speed of less than 51 words per minute = 0.8413

8 0
3 years ago
A skate ramp is 4.2 meters long. It rises up 1.7 meters. What’s is the angle of elevation to the nearest tenth of a degree?
Kipish [7]
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
4 0
3 years ago
I don’t understand how to do this at all.
avanturin [10]

Answer:

2m

Step-by-step explanation:

(m+3) (m-1)

We need to FOIL

first m*m = m^2

outer -1*m  = -m

inner = 3m

last 3*-1 = -3

Add these together

m^2 -m +3m -3

m^2 +2m -3

3 0
4 years ago
Solve. (K+1)(k-5)=0<br> Explin how to solve ???
Anna71 [15]
Alright remember, if any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0. 
k+1=0
k-5=0
Set the first factor equal to 0 and solve
k=-1
Set the next factor equal to 0 and solve
k=5
The final solution is all the values that make (k+1)(k-5)=0 true. 
k=-1, 5

Hope this helped you out :)
5 0
3 years ago
Read 2 more answers
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