Answer:
The value of 3 in 46.132 is 10 times the value of 3 in 8.553.
Step-by-step explanation:
The value of 3 in 46.132 is in hundredth's place.
The value of 3 in 8.553 is in thousandths place.
We can write as :
For 46.132, its value is
and for 8.553 its value is
.
Taking,

So, the value of 3 in 46.132 is 10 times the value of 3 in 8.553. Hence, the correct answer is A.
Chenoa starts with $250 in her saving account and each month she adds $15 in her saving account.
Therefore, we obtain a sequence as:
250, (250+15), (250+15+15),...
250, 265, 280,....
So, we get the first term (
) as 250.
Now , we can clearly observe that the first term is 250 and second term is obtained by adding 15 to the first term that is 265 and so on.
Similarly in an arithmetic progression, last term is
and its previous term is
.
Similarly,
will be obtained by adding 15 to its previous term
.
So,
and
=250.
Therefore, Option C is correct.
Answer:
Height is 135 ft
Step-by-step explanation:
Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.
Then we can use the Pythagorean theorem to solve for the height (h):
h^2 + (h - 51)^2 = (h + 24)^2
h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576
grouping all terms on the left of the equal sign, we get:
h^2 -150 h + 2025 = 0
This gives two possible answers:
h = 135
and
h = 15
We opt for h = 135, because the other solution will render a negative leg for the triangle.
No, his answer was not reasonable. If jeans are 24.55 and shirt is 12.25, 24.55+12.25=36.8, not 26.80