Answer: The answer would be 8.5 times 10^-5
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
8.5 x 10^-5
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
the probability of the treasure being in the area given that no treasure is found is 0.0625 (6.25%)
Step-by-step explanation:
denoting the event N= no treasure is found , then
P(N) = probability that the lost treasure is in the area* probability that the lost treasure is not found in the treasure's area + probability that the lost treasure is not in the area* probability that the lost treasure is not found in other areas = 0.4*0.1 + 0.6*1 = 0.64
P(N) = 0.64
then we can get the conditional probability using the theorem of Bayes . Denoting the event A= the treasure being in the area
P(A/N) = P(A∩N)/P(N) = 0.4*0.1/0.64 = 0.0625 (6.25%)
where
P(A∩N) = probability of the treasure being in the area and no treasure is found
P(A/N) = probability of the treasure being in the area given that no treasure is found
Answer:
(7/9) ÷ (5/4) = 28/45
Step-by-step explanation:
Fractions can be divided by using the rule "invert and multiply". We can look at the factors of 28 and 45 to see what might have been multiplied to get these numbers.
28 = 1·28 = 2·14 = 4·7
45 = 1·45 = 3·15 = 5·9
So, there are a number of possibilities. A couple of them are ...
28/45 = (7/9) × (4/5) = (4/9) × (7/5)
If we choose to use the first of these pairs of fractions, we can invert one of the fractions to make the denominator, then write the quotient as either of ...
(7/9) ÷ (5/4)
or
(4/5) ÷ (9/7)
Answer:
210.33 cm^2
Step-by-step explanation:
We know that 6 equilateral triangles makes one hexagon.
Also, an equilateral triangle has all its sides equal.
If the tile of each side of the triangular tile measure 9 cm, then the height of the triangular tiles can be gotten using Pythagoras's Theorem.
The triangle formed by each tile can be split along its height, into two right angle triangles with base (adjacent) 4.5 cm and slant side (hypotenuse) of 9 cm. The height (opposite) is calculated as,
From Pythagoras's theorem,
substituting, we have
81 = 20.25 +
= 81 - 20.25 = 60.75
opp = = 7.79 cm this is the height of the right angle triangle, and also the height of the equilateral triangular tiles.
The area of a triangle =
where b is the base = 9 cm
h is the height = 7.79 cm
substituting, we have
area = x 9 x 7.79 = 35.055 cm^2
Area of the hexagon that will be formed = 6 x area of the triangular tiles
==> 6 x 35.055 cm^2 = 210.33 cm^2
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Step-by-step explanation:
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Answer:
Option (D)
Step-by-step explanation:
Formula for the area of a triangle is,
Area of a triangle =
For the given triangle ABC,
Area of ΔABC =
Length of AB =
Length of CD =
Now area of the triangle ABC =
Therefore, Option (D) will be the answer.