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IRINA_888 [86]
3 years ago
15

Mrs.Smith stacked 6 cubes on top of one another to make a tower. If the tower is sitting on the floor, how manyof the cubes face

s can Mrs.Smith see?
Mathematics
1 answer:
kap26 [50]3 years ago
5 0

Answer: 25 faces

Step-by-step explanation:

Given

6 cubes are stacked over each other

Mr. Smith wants to count the number of faces  

The faces which are in contact with each other are not visible to Mr. smith i.e. there will be 5 cubes with only 4 faces available and only one cube with 5 faces available, that is placed on the top.

No of visible faces

\Rightarrow 4\times 6+1\quad \quad [\text{6 cubes with 4 faces visible+face of top cube}]\\\Rightarrow 25\ \text{faces}

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Wich equation could be used to determine the area of a rectangle that is 9 cm long and 13 cm wide?​
Norma-Jean [14]

Answer:

9×13=117, The rectangle is 117cm

Step-by-step explanation

The formula for a rectangle is L*W  

4 0
3 years ago
Timber beams are widely used in home construction. When the load​ (measured in​ pounds) per unit length has a constant value ove
Delicious77 [7]

Answer:

a) 0.4

b) 0.133

c) L \geq 99  

Step-by-step explanation:

We are given the following information in the question:

The load is said to be uniformly distributed over that part of the beam  between 90 and 105 pounds per linear foot.

a = 90 and b = 105

Thus, the probability distribution function is given by

f(x) = \displaystyle\frac{1}{b-a} = \frac{1}{105-90} = \frac{1}{15},\\\\90 \leq x \leq 105

a) P( beam load exceeds 99 pounds per linear​ foot)

P( x > 99)

=\displaystyle\int_{99}^{105} f(x) dx\\\\=\displaystyle\int_{99}^{105} \frac{1}{15} dx\\\\=\frac{1}{15}[x]_{99}^{105} = \frac{1}{15}(105-99) = 0.4

b) P( beam load less than 92 pounds per linear​ foot)

P( x < 92)

=\displaystyle\int_{90}^{92} f(x) dx\\\\=\displaystyle\int_{90}^{92} \frac{1}{15} dx\\\\=\frac{1}{15}[x]_{90}^{92} = \frac{1}{15}(92-90) = 0.133

c) We have to find L such that

\displaystyle\int_{L}^{105} f(x) dx\\\\=\displaystyle\int_{L}^{105} \frac{1}{15} dx\\\\=\frac{1}{15}[x]_{L}^{105} = \frac{1}{15}(105-L) = 0.4\\\\\Rightarrow L = 99

The beam load should be greater than or equal to 99 such that the probability that the beam load exceeds L is 0.4.

4 0
4 years ago
Show that the quadrilateral is a parallelogram.
Novosadov [1.4K]

9514 1404 393

Answer:

  opposite sides have the same slope, so it is a parallelogram

Step-by-step explanation:

A parallelogram has opposite sides that are parallel. Here, one pair of opposite sides consists of horizontal lines. Both have zero slope, so are parallel.

The other pair of lines each has a "rise" of 3 units for each "run" of 2 units, so the lines have a slope of 3/2. Both lines have the same slope, so are parallel.

Since opposite sides are parallel, the figure is a parallelogram.

6 0
3 years ago
Determine whether the system has no one, or infinitely many solutions.<br>y = 2x + 6 <br>y = -x - 3​
slava [35]

Answer:

One solution

Step-by-step explanation:

I think its 1 solution but I could be wrong, I looked it up and it said one solution.

5 0
3 years ago
Read 2 more answers
4000 principle earning 6% compounded annually after 5 years
Dmitrij [34]
Principal, P= 4000
interest = 6%/4 = 0.015 (per quarter)
Number of periods, n = 5*4 =20 quarters

Compound interest formula:
Future value:
F=P(1+i)^n
=4000(1+.015)^{20}
F=5387.42   to the nearest cent.
7 0
3 years ago
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