What is 4,672.183 rounded to the nearest hundredth?

Mathematics

2 answers:

Hitman42 [59]3 years ago

5 0

Answer:

The correct answer is 4,672.18.

Step-by-step explanation:

To solve this problem, we must look at the number we are given and determine what numbers are in which places. The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.

The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit. In the number given, the number 8 is in the hundredths place. Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place. This makes our answer 4,672.18.

Hope this helps!

WINSTONCH [101]3 years ago

4 0

4672.18 is the answer

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Zarrin [17]

This is a SOH-CAH-TOA problem, or trigonometry! Take a look at the attached image for a sketch of this problem.

(a) To find the distance up the wall, we'll need to use the sine function. This is because we know the angle is opposite the wall and we also know the hypotenuse.

sin(58.5) = x/4

x = (4)(sin(58.5)) ---> Plug this into your calculator to get the answer! And make sure your calculator is in degrees if that is an option.

x = 3.4 meters

(b) To find the distance between the foot of the ladder and the wall, we'll need to use the cosine function. This is because we know the angle is adjacent to the wall and we also know the hypotenuse.

cos(58.5) = x/4

x = (4)(cos(58.5))

x = 2.1 meters

Hope this helps!! :)