There is only one solution to the equation. A quadratic equation has 2 solutions a positive and a negative, but since we are looking for length, the answer can only be postive. Area= side^2
400= x^2
sqrt(400)=x
20 inches = x
The length of one side is 20 inches
check: 20*20 = 400, which is the area of the square painting.
Answer:
<u>Formulas</u>
<u>Question 14</u>
If a circle is inscribed in a square, then the diameter of the circle is equal to the side length of the square. Therefore, as the radius of a circle is half the diameter, the radius of the circle is half the side length of the square.
Given:
Therefore, the areas of the square and circle are:
Therefore, the ratio of the circle to square is:
So the circle is ¹/₄π the size of the square.
<u>Question 15</u>
If a square is inscribed in a circle, then the diagonal of the square is the diameter of the circle. Therefore, as the radius of a circle is half the diameter, the radius of the circle is half the diagonal of the square.
Given:
Therefore, the ratio of the circle to square is:
So the circle is ¹/₂π the size of the square.
Answer:
x = 42
Step-by-step explanation:
You can set up an equation to solve for the missing variable. Divide 2/7 on both sides.
2/7(x) = 12
x = 42
Answer:
Step-by-step explanation:
Assuming they removed the jokers there are 52 cards in a deck and 13 hearts
You can calculate the odds of something by multiplying the odds together, because you don't put back the card you drew you have to subtract 1 from both the numerator and denominator
Therefore the probability of pulling 3 cards that are all hearts are
Answer:
Slope: 0
Step-by-step explanation:
To find the slope use the expression y2 - y1/x2 - x1
Either of the coordinate can be y2 or y1 they just x1 and y1 have to be the same coordinate
Let's make (-12, -4) x2 and y2 & (-6, -4) x1 and y1
Next substitute the numbers into the expression
-4 +4/-12 + 6
This will equal 0/-6
The slope is only 0 because whenever you divide 0 by a number it will always be zero unless it is something like 14/0, this means it is undefined (only for slopes)