Answer:
12/4 and 3/1
Step-by-step explanation:
Because there are 12 oranges to 4 bananas. So if you simplify that you get 3 oranges to 1 banana
Answer:
(0.63789 ; 1.38211 )
Given that:
Mean, xbar = 1.01
Standard deviation, s = 0.29
Sample size, n = 7
Confidence interval : xbar ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Degree of freedom (df) = n - 1 = 7 - 1 = 6
Hence Tcritical = 3.143
Margin of Error = 3.143 * 0.29/sqrt(6)
Margin of error = 0.37211
Lower boundary = (1.01 - 0.37211) = 0.63789
Upper boundary = (1.01 + 0.37211) = 1.38211
(0.63789 ; 1.38211 )
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Answer:
(a)then the product of these two numbers is divisible by 6.
Step-by-step explanation:
If a and b are two integers where at least one of a or b is divisible by 6, the product ab will also be divisible by 6.
If, a is divisible by 6, a/6 = c (an integer).
Product of a and b, (ab)/6 = (a/6) X b =cb.
Likewise if b is divisible by 6, same rule applies.
We only need a term in the product to be divisible by an integer for the product to be divisible by the integer.
Answer:
Answer 1: 85
Answer 2: c
Answer 3: 15
Step-by-step explanation:
Simple subtraction makes the trick.
The height of the antenna on the roof of the local building is approximately 8 meters.
The situation forms a right angle triangle.
<h3>Properties of a right angle triangle:</h3>
- One of its angles is equals to 90 degrees
- The sides of the triangles can be calculated using Pythagoras theorem.
Therefore, let's find the height of the building and the radio antenna from the eye point.
Using trigonometric ratios,
tan 40° = opposite / adjacent
tan 40° = x / 25
where
x = the height of the building and the radio antenna from the eye point.
x = 25 tan 40
x = 25 × 0.83909963117
x = 20.9774907794 meters
Let's find the height of the building from his eye point.
tan 28° = y / 25
where
y = height of the building from his eye point
y = 25 × tan 28°
y = 25 × 0.53170943166
y = 13.2927357915 meters
Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786
Height of the antenna ≈ 8 meters
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