Answer:
x<3 and x≥5
Step-by-step explanation:
Look at the circles and what is shaded on the number line. The first circle is at x=3, and it's an open circle. An open circle means that the interval does not include that point. The arrow is going to the left, meaning x < 3.
The next circle is at x=5. It is a closed circle, so the interval does include that point (so draw a bar under the less than/greater than sign). Next, notice how the arrow is pointing to the right. That means that the blue area is at x=5 and greater than x=5, so x≥5.
Answer:
16
Step-by-step explanation:
We can use the Pythagorean theorem to find the height
a^2 + b^2 = c^2 with a and b legs and c the hypotenuse
The triangle is a right triangle with legs GH and FG and hypotenuse FH
FG^2 + GH^2 = FH^2
FG ^2 + 12^2 = 20^2
FG^2 +144 = 400
Subtract 144 from each side
FG^2 +144-144 = 400-144
FG^2 =256
Take the square root of each side
sqrt(FG^2) =sqrt(256)
FG = 16
Answer:10
Step-by-step explanation:
<h3>Answer:</h3>
15.36 cm
<h3>Explanation:</h3>
The Pythagorean theorem tells you ...
... AC² = AB² + BC² . . . . . relation for face diagonal
... AD² = AC² + CD² . . . . . relation for space diagonal
Subsituting the expression for AC² given by the first equation, the second equaiton becomes ...
... AD² = AB² + BC² + CD²
... AD² = (100 cm²) + (100 cm²) + (36 cm²) = 236 cm²
Taking the square root, we have ...
... AD = √236 cm = 2√59 cm
... AD ≈ 15.36 cm
