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3 years ago

Select the repeating decimal number that is equivalent to 1/7 .

Mathematics

2 answers:

Tomtit [17]3 years ago

7 0

The repeating decimal number is 0.142857

sleet_krkn [62]3 years ago

6 0

Is there more to this question

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Please help me on this!

yanalaym [24]

Answer:

${9}^{ - 8}$

Step-by-step explanation:

$\frac{ {9}^{ - 5} }{ {9}^{3} }$

${9}^{ - 5 - (3)}$

${9}^{ - 5 + (- 3)}$

${9}^{ - 8}$

6 0

3 years ago

A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall

GuDViN [60]

Answer:

45/22

Step-by-step explanation:

6 0

3 years ago

Which of the two solids below are similar ?

Pachacha [2.7K]

Answer: I and II.

Step-by-step explanation:

By definition, two solids are similar if their corresponding sides are in the same ratio.

Knowing this, let's find which solids are similar:

Corresponding sides ratio of solids I and II:

$\frac{3}{2}=\frac{2}{\frac{4}{3}}=\frac{5}{\frac{10}{3}}$

$\frac{3}{2}=\frac{3}{2}=\frac{3}{2}$

Corresponding sides ratio of solids I and III:

$\frac{3}{\frac{9}{2}}=\frac{2}{3}=\frac{5}{8}$

$\frac{2}{3}=\frac{2}{3}=\frac{5}{8}$

Corresponding sides ratio of solids II and III:

$\frac{2}{\frac{9}{2}}=\frac{\frac{4}{3}}{3}}=\frac{\frac{10}{3}}{8}}$

$\frac{4}{9}=\frac{4}{9}=\frac{5}{12}$

You can observe that the solids I and II are similar.

3 0

3 years ago

Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, as given by the following f

AleksAgata [21]

Answer:

a) -15 unites per dollar

b) -12 units per dollar

c) -18 units per dollar

Step-by-step explanation:

We are given the following in the question:

$N(p) = 100-3p^2, 1\leq p \leq 4$

where N(p) is the number of boxes of nails at p dollars per box.

a) average rate of change of demand for a change in price from $2 to $3.

Average rate of change =

$\displaystyle\frac{N(3) -N(2)}{3-2}\\\\=\frac{100-3(3)^2-(100 - 3(2)^2)}{1}\\\\= -15\text{ units per dollar}$

b) instantaneous rate of change of demand when the price is $2

Instantaneous rate =

$N'(p) = \displaystyle\frac{d(N(p))}{dp} = -6p$

$N'(2) = -6(2) = -12$

The instantaneous rate of change of demand when the price is $2 is decreasing at 12 units per dollar.

c) instantaneous rate of change of demand when the price is $3

Instantaneous rate =

$N'(3) = -6(8) = -18$

The instantaneous rate of change of demand when the price is $3 is decreasing at 18 units per dollar.

4 0

3 years ago

If a scalene triangle has its measures 4 m, 11 m and 8 m, find the largest angle.

soldier1979 [14.2K]

Answer:

129.8 approximately

Step-by-step explanation:

So this sounds like a problem for the Law of Cosines. The largest angle is always opposite the largest side in a triangle.

So 11 is the largest side so the angle opposite to it is what we are trying to find. Let's call that angle, X.

My math is case sensitive.

X is the angle opposite to the side x.

Law of cosines formula is:

$x^2=a^2+b^2-2ab \cos(X)$

So we are looking for X.

We know x=11, a=4, and b=8 (it didn't matter if you called b=4 and a=8).

$11^2=4^2+8^2-2(4)(8)\cos(X)$

$121=16+64-64\cos(X)$

$121=80-64\cos(X)$

Subtract 80 on both sides:

$121-80=-64\cos(X)$

$41=-64\cos(X)$

Divide both sides by -64:

$\frac{41}{-64}=\cos(X)$

Now do the inverse of cosine of both sides or just arccos( )

[these are same thing]

$\arccos(\frac{-41}{64})=X$

Time for the calculator:

X=129.8 approximately

3 0

4 years ago