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NARA [144]
3 years ago
11

Why the great awakening was important to people?

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0
Well is this like history 

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If cos A = 1/2, then what is the positive value of cos 1/2 A, in simplest radical form with a rational denominator?
stepan [7]

Answer:

\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}

Step-by-step explanation:

Given

\cos A = \frac{1}{2}

Required

Determine \cos(\frac{1}{2}A)

To do this, we make use of the following identity

\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}

Substitute: \cos A = \frac{1}{2}

\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}

Solve the numerator

\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}

\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}

Rewrite as:

\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}

\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}

Take square roots

\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}

3 0
3 years ago
In the trapezoid at the right, BE= 2x-8, DE= x-4, and AC= x+2
Marta_Voda [28]

Answer:

A.  x = 5 (Equation below)

B. AC = 9 | BD = 9

Step-by-step explanation:

A. Since we know the diagonals of an isosceles trapezoid are congruent, we know that the two bottom parts of the diagonal BD (2x - 8 and x - 4) are congruent to the diagonal AC (x + 2) . This means you can just equal them together and get the value of x:

2x - 8 + x - 4 = x + 2

3x - 12 = x + 2

3x = x + 14

2x = 14

x = 7

B. Just plug in 5 for x:

AC = x + 2 = 7 + 2 = 9

BD = 2x - 8 + x -4 = 3x - 12 = 21 - 12 = 9

5 0
3 years ago
Lola was hiking 670 feet above sea level Dan was to 720 feet below her what was Dan’s elevation
Lesechka [4]

Answer:

-50

Step-by-step explanation:

Dan's elevation is -50 feet below sea level. If Lola is at an elevation of 670 feet and Dan is 720 feet below her, you need to subtract; 670 - 720. This would get you to -50 feet which is Dan's elevation. Hope this helps!

8 0
3 years ago
Find the general solution of (x+3)y’=2y
gregori [183]

Answer:

y=C(x+3)^2

Step-by-step explanation:

We are given:

\displaystyle (x+3)y^\prime=2y

Separation of Variables:

\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}

So:

\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx

Integrate:

\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx

Integrate:

\displaystyle \ln|y|=2\ln|x+3|+C

Raise both sides to e:

|y|=e^{2\ln|x+3|+C}

Simplify:

|y|=(e^{\ln|x+3|})^2\cdot e^C

So:

|y|=C|x+3|^2

Simplify:

y=\pm C(x+3)^2=C(x+3)^2

5 0
3 years ago
1. A room is 5 m by 3m. What is the area of the room?​
IRISSAK [1]

Answer:

15m2 is the answer my friend.....

7 0
3 years ago
Read 2 more answers
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