The solution to the equation x/4 + 3 = 19 is x = 64. This is verified by substituting x = 64 back into the original equation, simplifying, and confirming the equation holds true.
To solve the equation x/4 + 3 = 19, we first subtract 3 from both sides of the equation. This gives us x/4 = 19 - 3, or x/4 = 16. Next, we multiply both sides of the equation by 4 to solve for x, which gives us x = 16 * 4 or x = 64.
To verify the solution, we substitute x = 64 back into the original equation: 64/4 + 3 = 19. Simplifying the left side gives us 16 + 3 = 19, which is equivalent to the right side. Therefore, the solution x = 64 is correct.
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Hi Mikey
q=3a+5ac
You need to change the equation's side
5ac+3a=q
Factor out a
a(5c+3)=q
Now we need to divide both sides by 5c+3 so we can find the value for a
a(5c+3)/(5c+3)=q/(5c+3)
a= q/(5c+3)
I hope that's help !
The correct answer is:
14 ft.
Explanation:
Let x be the height of the street lamp. This is one leg of a right triangle.
The other leg is formed by the combination of the length of the shadow and the distance Dr. Black is standing from the lamp. This is 5+20 = 25.
The angle of elevation is 30°. Comparing the given sides to this angle, we have the side opposite the angle (x) and the side adjacent to the angle (25). We know that opposite/adjacent is the ratio for tangent; this gives us the equation:
Answer:
The resultant vector, A+B, has a Magnitude of 15.02 meters and an angle of 34.23 degrees
Step-by-step explanation:
We need to convert the vectors given to x,y coordinate form.
We use the formula below:
Where A is the magnitude and is the angle.
Vector A:
and
Vector B:
and
Now we can write the vectors as:
A = <10.55,4.05>
B = <1.87,4.40>
To add, A+B, we have:
A + B = <10.55+1.87, 4.05+4.40>
A + B = < 12.42, 8.45 >
To convert this into magnitude/degree format:
Magnitude =
Angle =
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If you pull the information into a mathematical context, you'll notice it is asking for the highest common factor of the 2 numbers
Let's put both of them in prime factorization:
96 = 2^5 x 3
72 = 2^3 x 3^2
Now pick out what is common in these
2^3 x 3 = 24
Thus it would be 24 feet
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