Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form 
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:
Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.
Let us solve for n.
We can also write next terms of our sequence as:
Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
Answer:
w > 7
Step-by-step explanation:
L = 3w
2L + 2w > 56
sub for L
2(3w) + 2w > 56
6w + 2w > 56
8w > 56
w > 7
Check: L = 3(8)
L = 24
2(24) + 2(8) > 56
48 + 16 > 56
64 > 56
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*<em>look at the image I attached for a better explanation</em>
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
Thus the <u>missing side length is 12 cm</u>
Hope that helps!
<em>x </em>= 17
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10 something like that, but closer together. LOL sorry!!
Answer:
Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Step-by-step explanation:
According to trigonometry identity;
Cos 30° = √3/2
To get the expression equivalent to 30°, we will take the inverse of both sides as shown;
Cos^-1(cos 30°) = cos^-1(√3/2)
The arccos will cancel out the cos on the left hand side of the equation to have;
30° = cos^-1(√3/2)
Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
