Answer:
Step-by-step explanation:
Because dividing any term by the previous term gives a constant this is a geometric sequence of the form an=y^(n-1). Since each term is four times the previous term y=4 so
an=4^(n-1)
Answer:
21.56 m
Step-by-step explanation:
2(3.28) + 2(7.5)
(twos represent the sides)
6.56 + 15
= 21.56 m
Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = 
Cosθ = 
tanθ = 
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = 
θ = 
Option (A) will be the answer.
If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.
Given that a number plate can be formed using 2 alphabets which must come in increasing order.
We are required to find the number of plates that can be formed.
Number of total alphabets=26.
The number of plates will be equal to the number of ways in which two alphabets can be arranged.
Combination is the number of ways in which some combinations can be formed. It is expressed as n
=n!/r!(n-r)!
Number of license plates=26
*25
=26*25
=650 plates
Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.
Learn more about combinations at brainly.com/question/11732255
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Answer: 8.4; 14.
Step-by-step explanation:
To find how much ribbon we used to tie presents, we need to multiply 9 and 0.4.
9 x 0.4 = 3.6.
Diego used 3.6 meters of yard to tie some presents. We can subtract that from 12 to find how much ribbon we have left.
12 - 3.6 = 8.4.
We have 8.4 meters of ribbon to make wreaths.
Now we have to find how many wreaths we can make wiht 8.4 meters of ribbon. We know that each wreath needs 0.6, so we should divide 8.4 by 0.6 to find how many wreaths we can make.
8.4 ÷ 0.6 = 14.
Therefore, we can make 14 wreaths with the 8.4 meters of leftover ribbon.
(Part A's answer is 8.4, and Part B's answer is 14)