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Gwar [14]
3 years ago
15

Calculate the value of tan (48°19'23'').

Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

tan (48°19'23'') => 1.1232

Step-by-step explanation:

60' minutes are present in a degree, and 60 * 60' seconds are present in a degree;

48°19'23'' = 48 + 19/60 + 23/3600

= \frac{172800}{3600}+\frac{1140}{3600}+\frac{23}{3600}

= \frac{172800+1140+23}{3600}

= \frac{173963}{3600} = 48.323°

tan(48.323°) = 1.1232

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Your friend wants to sell painted rocks. He spends $10.00 on startup costs, and each painted rock costs him $0.75 to make. A sto
igomit [66]

Answer:

10 rocks

Step-by-step explanation:

The cost on startup is $10 and each painted rock cost around $0.75 to make. A store pays startup cost and buy painted rocks for $0.75 each there no profit because the cost price and selling price is the same.

3 0
2 years ago
8x^-9+(-3x^-3y-2)(5/x^6y-2)
DaniilM [7]

8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})

the first step is to deal with the negative exponents, which causes numbers to go to the other side of the fraction

8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})

goes to

\frac{8}{x^9}+(\frac{-3}{x^3y^2})(\frac{5y^2}{x^6})

now we can simplify the multiplied terms

\frac{8}{x^9}+(\frac{-15}{x^9})

Now that we have common bases, we can add the 2 fractions together to get

\frac{-7}{x^9}

8 0
3 years ago
A contractor is calculating the number of decorative stones for a new rectangular patio. The bids always include a count for the
babunello [35]

Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the  first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

18, 18 and 18

Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

62, 133, 260 and 435

The difference between consecutive output values is:

71, 127 and 175

Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.

3 0
3 years ago
Find the radius of the sphere with the given volume. Show all work
yaroslaw [1]

Answer:

r = 15

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3  r^3

Multiply each side by 3/4

3/4 *4500  = 3/4 *4/3  r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r

7 0
3 years ago
Please help me. I already have the systems of linear equations which is y=87x+2129
goblinko [34]

Step-by-step explanation:

that's it hope u understood

3 0
3 years ago
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