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Radda [10]
3 years ago
9

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

6 0
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.

7 0
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

4 0
3 years ago
PLEASE PLEASE HELP ME 50 POINTS!<br><br> 2x + 4 &lt; 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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