Answer:
25%
Step-by-step explanation:
First you have the fraction of 3/12 and need to turn it into a decimal. So to do that you divide 3 by 12 = 0.25. So your percent is 25%
Answer:
(√2)/2
Step-by-step explanation:
The ratio of the radius of the circle to the side of the inscribed square is the same regardless of the size of the objects.
The radius of the circle is half the length of the diagonal of the square. For simplicity, we can call the side of the square 1, so its diagonal is √(1²+1²) = √2 by the Pythagorean theorem. The radius is half that value, so is (√2)/2. The desired ratio is this value divided by 1.
Scaling up our unit square to one with a side length of 3 inches, we have ...
radius/side = ((3√2)/2) / 3 = (√2)/2
_____
A square with a side length of 3 inches will have an area of (3 in)² = 9 in².
Answer:
416.666667
Step-by-step explanation:
125×(7/3) = 416.666667
If the coefficient is positive, then just multiply or divide by the same coefficient.
2X less than or equal to 8
divide by 2 throughout to get X is less than or equal to 4
If the coefficient is negative, then multiply or divide by the negative sign and the same number throughout
-2X is less than or equal to 8
divide by -2 throughout to get
X is GREATER THAN OR EQUAL to 8.
Remember the sign changes when you divide or multiply by negative.
Answer:
(7, - 3 )
Step-by-step explanation:
Solve the 2 equations simultaneously to find intersection.
Given the equations of the sides
2x + 3y = 5 → (1)
3x + y = 18 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the y- term
- 9x - 3y = - 54 → (3)
Add (1) and (3) term by term
(2x - 9x) + (3y - 3y) = (5 - 54) and simplifying gives
- 7x = - 49 ( divide both sides by - 7 )
x = 7
Substitute x = 7 into (1) or (2) for corresponding value of y
Substituting in (2)
21 + y = 18 ( subtract 21 from both sides )
y = - 3
Point of intersection = (7, - 3 )
