To answer this item, we make use of the equation derive from the Pythagorean theorem for right triangles which states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two shorter sides. If we let x be the measure of both the shorter sides (we call this as legs), we have,
(14 in)² = (x²) + (x²)
Simplifying the equation,
196 in² = 2x²
Divide both sides of the equation by 2,
98 in² = x²
To get the value of x, we get the square root of both sides of the equation,
x = sqrt (98) = 7√2 inches
Hence, the measure of each leg of the right triangle is 7√2 inches or approximately 9.9 inches.
Step-by-step explanation:
When the inequality uses < or >, it is a broken line.
For the point (0, 0) it means that x = 0 and y = 0.
Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.
Compare the areas of the 2 different pieces of paper.
For the circle, the area is A=pi * r^2, which works out to A = pi(5 inches)^2.
For the square, the area is A = s^2, where is the side length, which here is 11 inches.
Finish these calculations, and then compare your two areas. Which is the larger?
Answer:.......
Probability =
Step-by-step explanation:
Let g represent the number of green beads , and o represent the number of orange beads.
due to the fact that Ann is selecting the bead without replacing i randomly
the probability (Pr) of Ann selecting a green bead and then an orange one =
Answer:
Step-by-step explanation:
x + 6 I x³ + 2x² - 10x + 84 I x² - 4x + 14
x³ + 6x²
<u> - - </u>
-4x² - 10x
-4x² - 24x
<u> + + </u>
14x + 84
14x + 84
<u> - - </u>
0
P(x) =(x +6)* ( x² - 4x + 14) + 0