The required answer is decimal representation of long division 21 divided by 8 equals 2.625.
To divide 21 by 8 using decimal long division, follow these steps:
Step 1: Set up the division problem:
2.625
_______
8 | 21.000
Step 2: Divide the first digit of the dividend (2) by the divisor (8). The result is 0.25.
Step 3: Write the result (0.25) as the decimal part of the quotient above the division bar, directly above the decimal point in the dividend:
2.625
_______
8 | 21.000
0.25
Step 4: Multiply the divisor (8) by the decimal part of the quotient (0.25) and write the result below the dividend, aligning the decimal points:
2.625
_______
8 | 21.000
16.00
Step 5: Subtract the result from the previous step from the dividend:
2.625
_______
8 | 21.000
- 16.00
-------
5.00
Step 6: Bring down the next digit from the dividend (if any). In this case, there are no more digits in the dividend.
Since there are no more digits to bring down, we can stop the division. The quotient is 2.625.
Therefore, the decimal representation of long division 21 divided by 8 equals 2.625.
Know about that the decimal representation of long division here:
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clock is
Answer:
At 3:30 , the minute hand is at number 6. At 3:00 the hour hand was at number 3. Now it has moved 15 degree. Hence the angle between the two is (90 -15) = 75 degree.
Using the given scale ratio on the map and setting up a proportion with the real distance to the capital, then solving, we get that the state capital is represented as being 3.5 inches from the border on this map.
The subject of this question is applied mathematics, specifically ratios. The scale on the map is given as 1/4 in : 18 mi. This means that for every 1/4 inch on the map, it represents 18 miles in reality. To figure out how far the capital is from the border on the map, you'll implement this scale ratio.
First, you make a fraction with the scale, with the real distance (18 miles) on top and the map distance (1/4 inch) on the bottom. Then, you set up a proportion with this fraction equal to another fraction consisting of the real distance to the capital on top (252 miles) and an unknown distance on the map at the bottom, which we can represent as x.
The fraction then looks like this: 18/0.25 = 252/x. Solving for x gives you x = (0.25*252)/18 = 3.5. Therefore, the state capital is represented as being 3.5 inches from the border on this map.
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No links no fake answers
Answer:
8.
The sides given relative to angle x is the adjacent and opposite side. We can find x by using a trig function.
When using the adjacent and opposite sides, we use tangent.
The tan. of an angle, in this case x, is the opposite side over the adjacent side.
tan x=6/15
x=arc tan 6/15≈22
9.
cos 33°
You can use a calculator for this
10.
Because sin and cos are cofunctions, you can get x by doing 90-35=55°
z=55°
The rate of increase of the radius when the radius of the cone is 4 cm is approximately 0.299 cm/s. This was calculated by using the derivative of the volume of a cone with respect to its radius, with the height of the cone always being three times the radius.
The subject of this question relates to the rate of change in the context of the volume and radius of a cone. The volume of a right circular cone is given by the formula V = 1/3πr²h. Given that the height is always three times the radius, we can substitute h = 3r into the formula, which gives V = 1/3πr³ * 3 = πr³.
The rate of change of the volume with respect to time (dV/dt) is given as 45 cm³/s. We can set up an equation using the derivative of the volume with respect to the radius and the relation dV/dt = (dV/dr)(dr/dt). Calculating the derivative of the volume with respect to the radius, we find that dV/dr = 3πr². Substituting the provided values into our relation gives us 45 = 3π(4)²*dr/dt. Solving for dr/dt, we find the rate of change of the radius to be approximately 0.299 cm/s to 3 significant figures.
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Answer:
The length of the full-size train is 140 meters.
Step-by-step explanation:
To determine the length of the full-size train, we will use the given relationship between the train at the amusement park and the full-size train.
From the question,
0.15 meter on the train at the amusement park represents 1 meter on the full-size train,
Let the length of the full-size train be x
Now,
If 0.15 meter on the train at the amusement park represents 1 meter on the full-size train
Then, 21 meters on the train at the amusement park will represent x meters on the full-size train
0.15 × x = 21 × 1
0.15x = 21
x = 21/0.15
x = 140 meters
Hence, the length of the full-size train is 140 meters.
Answer:
140m
Step-by-step explanation:
0.15 × x = 21 × 1
0.15x = 21
x = 21/0.15
x = 140 meters
Answer:
Kennedy did not distribute the 3 to the numbers in the parentheses.
Step-by-step explanation:
The simplified expression should be -3x+24.