This is an isosceles right triangle (AB = BC & ∠ B=90° - Given)
Then the angles at the base are equal and ∠ CAB = ∠ ACB = 45°
Theorem: Segment DE, joining the midpoints of 2 sides is:
1st) parallel to the 3rd side and
2nd) equal to half the measurement of the 3rd side
So if the 3rd side (hypotenuse) = 9 units, DE = 9/2 = 4.5 units
To answer the question above, we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,
5 2/6 feet - 2 4/6 feet = 8/3 feet
Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon.
Answer: 0.9013
Step-by-step explanation:
Given mean, u = 10, standard deviation =8
P(X) =P(Z= X - u /S)
We are to find P(X> or =12)
P(X> or = 12) = P(Z> 12-10/8)
P(Z>=2/8) = P(Z >=0.25)
P(Z) = 1 - P(Z<= 0.25)
We read off Z= 0.25 from the normal distribution table
P(Z) = 1 - 0.0987 = 0.9013
Therefore P(X> or=12) = 0.9013
Note the question was given as an incomplete question the correct and complete question had to be searched online via Google. So the data used are those gotten from the online the Googled question.
Answer:
C
Step-by-step explanation:
6x^2 + 1 <= 0
6x^2 <= -1
x^2 <= -1/6
Since we cannot take the square root of a negative number, there is no solution.
The answer is 10 cm
Imagine cement cover as a rectangle which volume is 660,000,000 cm3. So this rectangle has width (w = 60m), length (l = 110m), and height (h = ?). The height of the rectangle is actually a thickness of the cement layer. So, we will use the formula for the volume (V) of the rectangle to calculate the thickness:
V = w · l · h
It is given:
V = 660,000,000 cm³
w = 60 m = 60 · 100 cm = 6,000 cm
l = 110 m = 110 · 100 cm = 11,000 cm
h = ?
Using the formula: V = w · l · h
660,000,000 = 6,000 · 11,000 · h
660,000,000 = 66,000,000 · h
⇒ h = 660,000,000 ÷ 66,000,000 = 10 cm
