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4 years ago

A number changed to 3.25 after it was rounded. To what place was the number rounded?

2 answers:

5 0

The number was rounded to the nearest hundredth.

Before it was rounded, it was somewhere between 3.2450 and 3.2549999 .

AlladinOne [14]4 years ago

5 0

2 decimal places because there is only 2 numbers behind the decimal point.

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Please help and show work and steps

ki77a [65]

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is $-\dfrac{\sqrt{3}}{2}$ are $\dfrac{4\pi}{3}$ and $\dfrac{5\pi}{3}$ , otherwise known as $-\dfrac{\pi}{3}$ . Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show $-\dfrac{\sqrt{3}}{2}$ .

3 0

3 years ago

If the circular opening of the pipe has a diameter of 21 inches and the oil was estimated to be flowing at 30 inches/second, how

Anestetic [448]

This is a matter of Amount = Rate times time.

First, find the area of the circular opening. A = pi (r^2). Here,

A = pi(10.5 inches)^2.

To obtain the volume of water that flows out of the pipe per second, multiply this area by the 30 inches per second rate.

That comes out to a volume per second of Volume rate = pi*(10.5 inches)^2 * 30 inches per second:

Volume rate = 3.14(110.25 in^2)(30 inches/sec)
= 10390.8 cubic inches per second

Convert this result to cubic feet per second. Recall that 1 cubic foot = (12 inches)^3, or 1728 cubic inches / 1 cubic foot.

Thus, 10390.8 cubic inches per second comes out to

10390.8 cubic inches
---------------------------- = Just over 6 cubic feet per sec.
1728 cu. inches
---------------------
1 cu. ft

How many sec in 1 day? 1 day = 24 hours
1 hour = 60 minutes
60 seconds = 1 minute

Figure out how many seconds there are in 1 day, and then multiply your result by 6 cu. ft. / sec.

8 0

3 years ago

Which scale factors produce a contraction under a dilation of the original image?

Leokris [45]

Answer:

1/2

-1/2

Step-by-step explanation:

we know that

If a dilation produce a contraction that means that the absolute value of the scaling factor is less than 1

If a dilation produce an enlargement that means that the absolute value of the scaling factor is greater than 1

Verify each case

case 1) 2

$\left|2\right|=2$

$2 > 1$ ----> is a enlargement

case 2) 1/2

$\left|1/2\right|=1/2$

$1/2 < 1$ ----> is a contraction

case 3) -2

$\left|-2\right|=2$

$2 > 1$ ----> is a enlargement

case 4) -1/2

$\left|-1/2\right|=1/2$

$1/2 < 1$ ----> is a contraction

7 0

3 years ago

Is 14,48,50 a Pythagorean triplet Step by step explanation please

Svetlanka [38]

Answer:

yes

Step-by-step explanation:

If the values are a Pythagorean triplet then the square of the largest value should equal the sum of the squares of the other 2

largest value = 50 ⇒ 50² = 2500

14² + 48² = 196 + 2304 = 2500

Since 50² = 14² + 48² then 14, 48, 50 are a Pythagorean triplet

7 0

3 years ago

Read 2 more answers

the diameter of a cone-shaped container is 4 inches, and its height is 6 inches .How much grater is the volume of a cylinder-sha

sveticcg [70]

The radius r used in below equations would equal 2in because it is half the given diameter of 4in.
The volume of the cone would be
$V = \frac{1}{3} \pi r^2h \\ \\ V = \frac{1}{3} \pi (2in)^2(6in) = 8 \pi\ in^3$

The volume of a cylinder with the same dimensions would be
$V = \pi r^2h \\ 
V = \pi (2in)^2(6in) = 24 \pi in^3$

The cylinder is 24 - 8 = 16 cubic inches greater.

3 0

3 years ago