The solutions to the inequalities are x >1 and x < 6
<h3>How to solve the inequalities?</h3>
The inequality expression is given as:
-2x + 5 < 3x + 10
Collect the like terms in the above inequality
-2x - 3x < 10 - 5
Evaluate the like terms
-5x < 5
Divide by -5
x >1
Also, we have
5(x - 2) <3x + 2
Open the bracket
5x - 10 < 3x + 2
Evaluate the like terms
2x < 12
Divide by 2
x < 6
Hence, the solutions to the inequalities are x >1 and x < 6
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I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.
I'm not sure what you're asking but i think it can be this
Numbers
Colors
Probability
Hope this helps :)
Answer:
A = 62.35°
A = 62° (Appropriately)
Step-by-step explanation:
To solve for the value of angle A, we employ the COSINE FORMULA.
cos A = (b² + c² - a²) / 2bc
cos B = (a² + c² - b²) / 2ac
cos C = (a² + b² - c²) / 2ab
Where:
A,B,C are the angles of the triangle.
a,b,c are the lengths of the sides
a= 20
b= 16
c= 21
Cos A = (16² + 21² - 20²) / 2*20*16
Cos A = (256 + 441 - 400) / 640
Cos A = 297 / 640
Cos A = 0.464
A = 62.35
A = 62 Appropriately.
Answer:
The correct answer is:
6 inches by 6 inches
Step-by-step explanation:
Given that
Area of Enlarged photo = 256 square inches
Let x be the side of original photo
then the equation for area of new enlarged photo will be:
We have to solve the given equation to find the side length of original photo
Taking square root on both sides
Subtracting 10 from both sides
So the side length of original photo is 6 inches. The dimensions will be 6 inches by 6 inches.
Hence,
The correct answer is:
6 inches by 6 inches
