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3 years ago

Find A to the nearest degree if cos A = 0.7660

Mathematics

1 answer:

STALIN [3.7K]3 years ago

5 0

Answer:

$A = 40^\circ$

Step-by-step explanation:

Use the inverse cosine function.

$\cos A = 0.7660$

$A = \cos^{-1} 0.7660$

$A = 40^\circ$

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Duane is making cookies. The recipe calls for two times as many cups of sugar as butter, two times as many cups of oats as sugar

Tamiku [17]

Answer:

6.0

Step-by-step explanation:

: (2.0+(2.0+2.0)) = 6.0

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3 years ago

Translate each phrase and select the one that is DIFFERENT from the others. two more than a number, n the total of n and 2 twice

tensa zangetsu [6.8K]

Answer:

Option C.

Step-by-step explanation:

We need to translate each phrase and find the different expression.

"+" sign is used for sum, more and total.

Twice means two times of a number.

Let n be the unknown number.

Two more than a number = n+2

The total of n and 2 = n+2

Twice the number n = 2n

Sum of n and 2 = n+2

From the above expressions it is clear that only 2n is different from other.

Therefore, the correct option is C.

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3 years ago

1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a

katovenus [111]

1. Let a and b be coefficients such that

$\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}$

Combining the fractions on the right gives

$\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}$

$\implies 1 = (2a+b)x + 3a$

$\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23$

so that

$\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}$

2. a. The given ODE is separable as

$x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}$

Using the result of part (1), integrating both sides gives

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C$

Given that y = 1 when x = 1, we find

$\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)$

so the particular solution to the ODE is

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)$

We can solve this explicitly for y :

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)$

$\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|$

$\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|$

$\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}$

2. b. When x = 9, we get

$y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}$

8 0

2 years ago

Each side of a cube is 2 inches long what’s the volume of the cube

Kaylis [27]

Answer:

Step-by-step explanation:

The volume of a cube is s*s*s or s^3 where s = the length of a side (2 in this case).

V = s^3

V = 2^3

V = 2*2*2

V = 8 cu in or 8 in^3

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3 years ago

PLEASE PLEASE HELP ME 50 POINTS!<br><br> 2x + 4 < 5x + 3

Elenna [48]

Answer:

$x > \frac{1}{3}$

Step-by-step explanation:

$2x + 4 < 5x + 3 \\ \Leftrightarrow 5x - 2x > 4 - 3 \\ \Leftrightarrow 3x > 1 \\ \Leftrightarrow x > \frac{1}{3}$

8 0

3 years ago

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