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grandymaker [24]
2 years ago
15

10 points

Mathematics
1 answer:
viktelen [127]2 years ago
7 0

9514 1404 393

Answer:

  13.7 N

Step-by-step explanation:

The vertical component of the force is ...

  (15 N)sin(66°) ≈ 13.7 N

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A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim
raketka [301]

Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

12\times 17\\\\=204\ sq.\ foot

As we know that 1 foot = 12 inch

So, Area of floor would be

204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot

Dimension of brick tiles is given by

3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}

So, Area of brick tiles is given by

2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}

So, Number of clay brick would be

29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442

cost of each clay brick = $0.72

So, Total cost of flooring would be

442\times 0.72\\\\=\$318.24

Hence, The cost to tile the floor is $318.24.

7 0
3 years ago
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0
Tom [10]

Answer:

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

Step-by-step explanation:

The given equation is

(2x+3)^2+8(2x+3)+11=0

Let us treat this as a quadratic equation in (2x+3).

where a=1,b=8,c=11

The solution is given by the quadratic formula;

(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute these values into the formula to obtain;

(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}

(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}

(2x+3)=\frac{-8\pm \sqrt{20} }{2}

(2x+3)=\frac{-8\pm2\sqrt{5} }{2}

(2x+3)=-4\pm \sqrt{5}

(2x+3)=-4-\sqrt{5} or (2x+3)=-4+ \sqrt{5}

2x=-3-4-\sqrt{5} or 2x=-3-4+ \sqrt{5}

2x=-7-\sqrt{5} or 2x=-7+ \sqrt{5}

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

5 0
3 years ago
Write the number which is a third of the way from -2 to -7?
artcher [175]

Answer: -5

Step-by-step explanation: -3 , -4 , -5 is the third

5 0
3 years ago
A recursive rule for the arithmetic sequence is a1=-3;an=an-1+7
Shkiper50 [21]
The explicit rule for any arithmetic sequence is:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number

In this case a=-3 and d=7 so:

a(n)=-3+7(n-1)

a(n)=-3+7n-7

a(n)=7n-10
8 0
3 years ago
Adult men have heights that a normally distributed with a mean of 69.5 inches and a standard deviation of 2.4 inches. Adult wome
Aliun [14]

Answer:

Step-by-step explanation:

From the information given:

For Adult Men

Mean \mu = 69.5

Standard deviation \sigma = 2.4

observed value X = 74

For Adult Women

Mean \mu = 63.8

Standard deviation \sigma = 2.6

observed value X = 70

Therefore ; the values for their z  scores can be obtained in order to determine who is more unusually tall within his or her respective sex

For Adult Men :

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

z = \dfrac{74- 69.5}{2.4}

z = \dfrac{4.5}{2.4}

z = 1.875

For Adult Women :

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

z = \dfrac{70- 63.8}{2.6}

z = \dfrac{6.2}{2.6}

z = 2.3846

Thus; we can conclude that , the women is more unusually tall within his or her respective sex

5 0
3 years ago
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