To find our solution, we can start off by creating a string of 27 boxes, all followed by the letters of the alphabet. Underneath the boxes, we can place 6 pairs of boxes and 15 empty boxes.The stars represent the six letters we pick. The empty boxes to the left of the stars provide the "padding" needed to ensure that no two adjacent letters are chosen. We can create this -
Thus, the answer is that there are
ways to choose a set of six letters such that no two letters in the set are adjacent in the alphabet. Hope this helped and have a phenomenal New Year!
<em>2018</em>
9514 1404 393
Answer:
32.5 ft
Step-by-step explanation:
The length of the side opposite the given angle is found using the sine relation:
Sin = Opposite/Hypotenuse
height on building = (33 ft)·sin(80°) ≈ 32.5 ft
The ladder reaches about 32.5 feet up the side of the building.
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<em>Additional comment</em>
The maximum angle compliant with OSHA safety rules is 75.5°.
For exponential functions
y=ab^x,
where
a is the scale vertical stretch factor,
b is the base, and
x the exponent (also independent variable)
It is a know fact that if the scale factor (1/2 or 2 in the answer choices) is positive, the graph is increasing if the base (3 or 1/3) is greater than 1.
This means that the base cannot be equal to 1/3. This eliminates choices 3 and 4.
Next, for a base greater than 1 (3>1), and the scale factor positive, it is a dilation (image gets bigger) if the scale factor is greater than 1. This eliminates the first choice where a=2.
This leaves us with the second choice where a=1/2, b=3, which is a shrink of the given exponential base function.
The number in the question that gives 28 after the operations is; <em><u>3</u></em>
We are told that the product of seven and the sum of a number and 1 is 28.
Let the number be x. Thus;
7(x + 1) = 28
Use division property of equality to divide both sides by 7.
7(x + 1)/7 = 28/7
(x + 1) = 4
Use subtraction property of equality to subtract 1 from both sides to get;
x + 1 - 1 = 4 - 1
x = 3
Therefore, in conclusion the number is 3.
Read more at; brainly.com/question/10465740
6 3/8
Multiply the whole number with the denominator
6*8= 48. Add 3 ( numerator) with 48.
48+3= 51
51/8
Answer: 51/8
