All categories

4 years ago

If Sin A = 0.5736, what is the Cos A =

Mathematics

1 answer:

Y_Kistochka [10]4 years ago

7 0

<em>The value of CosA is 0.8191</em>

Step-by-step explanation:

Given SinA= 0.5736

We know that $SinA^{2} + CosA^{2} = 1$

Replacing value of SinA,

$(0.5736)^{2} + CosA^{2} = 1$

$(0.3290) + CosA^{2} = 1$

$CosA^{2} = 1-0.3290$

$CosA^{2} = 0.6709$

$CosA = 0.8191$

The value of CosA is 0.8191

You might be interested in

The work of a student trying to solve the equation 4(2x − 1) = 11 + 3x + 5 is shown below: Step 1: 4(2x − 1) = 11 + 3x + 5 Step

neonofarm [45]

In step three the prblem was incorrect. this is because you have to add four from both sides leading to 8x=20+3x then you have to subtract 3x which is 5x=20. divinding both sides by 5 is:

X=4

3 0

3 years ago

Read 2 more answers

The Pew Research Center finds that the demographic make-up of political parties is changing drastically through the election cyc

patriot [66]

Answer:

(a)0.34

(b)0.5

(d)0.544

(e)0.655

(f)Not disjoint events

(g)Independent events

Step-by-step explanation:

The summary of education levels among party lines is given in the table below

$\left|\begin{array}{c|ccc}&$Democrat &$Republican &$Total\\--&--&--&--\\$College Degree &37 &31 &68\\$No College Degree& 63 &69 &132\\--&--&--&--\\$Total &100 &100& 200\end{array}\right|$

(a)Probability a randomly selected participant has a college degree.

The probability a randomly selected participant has a college degree is:

$=\dfrac{68}{200} =0.34$

(b)The probability that a randomly selected participant is a democrat.

$=\dfrac{100}{200} =0.5$

(c)The probability that a randomly selected participant is a democrat and has a college degree.

$=\dfrac{37}{200} =0.185$

(d)Probability of being a democrat given that the participant has a college degree.

$=\dfrac{37}{68} \approx 0.544$

(e)The probability of begin a democrat or having a college degree

Number of Democrats =100

Number of Those with College degrees = 68

Number of democrats with College degrees =37

Therefore:

Probability of begin a democrat or having a college degree

$=\dfrac{100+68-37}{200} \\=\dfrac{131}{200}\\\\=0.655$

(f)The event of having a college degree and being a democrat are not disjoint events as there are some democrats who have a college degree.

(g)The event of having a college degree and being a democrat are independent events as the outcome of one does not affect the other.

6 0

4 years ago

The price for a one-way plane ticket from Atlanta to Orlando before fees is $89. The final price includes an additional $12 for

Georgia [21]

The answer is B

89+12+9=110
100(.25)=27.5
110-27.5=82.5

6 0

3 years ago

Read 2 more answers

Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use

QveST [7]

$\bf 27\implies 3^3\\\\
i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies -1\cdot i\implies -i\\\\
-----------------------------\\\\
x^3-27i=0\implies x^3+3^3(-i)=0\implies x^3+(3^3i^3)=0
\\\\\\
x^3+(3i)^3=0\\\\
-----------------------------\\\\
\textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3\\\\
-----------------------------\\\\$

$\bf (x+3i)[x^2-3ix+(3i)^2]=0\implies 
\begin{cases}
x+3i=0\implies \boxed{x=-3i}\\\\
x^2-3ix+(3i)^2=0
\end{cases}
\\\\\\
\textit{now, for the second one, we'd need the quadratic formula}
\\\\\\
x^2-3ix+(3i)^2=0\implies x^2-3ix+(3^2i^2)=0
$

$\bf x^2-3ix+(-9)=0\implies x^2-3ix-9=0
\\\\\\
\textit{quadratic formula}\\\\
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}\implies x=\cfrac{3i\pm\sqrt{(-3i)^2-4(1)(-9)}}{2(1)}
\\\\\\
x=\cfrac{3i\pm\sqrt{(-3)^2i^2+36}}{2}\implies x=\cfrac{3i\pm\sqrt{-9+36}}{2}
\\\\\\
x=\cfrac{3i\pm\sqrt{27}}{2}\implies \boxed{x=\cfrac{3i\pm 3\sqrt{3}}{2}}$

7 0

3 years ago

Can someone please help me?

cricket20 [7]

Answer:

y=3^(x-2) + 1

Step-by-step explanation:

When dealing with graphs I always use a graphing calculator or Desmos to graph and double check my answers especially when doing translations!

6 0

3 years ago