How many metres make 1 cm and how to convert m to cm
There are 100 centimeters in 1 meter. To convert meters to centimeters, multiply the number of meters by 100. For example, 2 meters = 2 x 100 = 200 centimeters.
CMIX in Roman numerals
CMIX in Roman numerals is 909.
C = 100
M = 1000
IX = 9 (since I = 1 and X = 10, IX = 9)
Therefore, CMIX = 1000 + 100 - 9 = 909.
CMIX in figure
CMIX in figures is 909.
3/7 of number is 15 find the number
Let's assume that "x" is the number we are trying to find.
If 3/7 of number is 15, we can set up the following equation:
3/7 x = 15
We can solve for "x" by multiplying both sides of the equation by the reciprocal of 3/7, which is 7/3:
(7/3) * (3/7) x = (7/3) * 15
x = 35
Therefore, the number we were looking for is 35.
If the area of a room is 169 cm^2 calculate its perimeter
If we assume that the length of the room is "L" and the width of the room is "W", then we know that the area, A, is given by:
A = L * W
We're told that the area of the room is 169 cm^2, so we can set up the following equation:
169 = L * W
We want to find the perimeter of the room, which is the distance around the outside of the room. The perimeter, P, is given by:
P = 2L + 2W
To find the perimeter of the room, we need to know both the length and the width. We can use the fact that the area is 169 to solve for one of these variables. For example, we could solve for L in terms of W:
169 = L * W
L = 169 / W
Now we can substitute this expression for L into the equation for the perimeter:
P = 2L + 2W
P = 2(169/W) + 2W
P = (338/W) + 2W
To find the value of W that minimizes the perimeter, we can take the derivative of P with respect to W and set it equal to zero:
dP/dW = -338/W^2 + 2 = 0
338/W^2 = 2
W^2 = 169
W = 13
Now that we know the width of the room is 13 cm, we can use the equation we derived earlier to find the length:
L = 169 / W
L = 169 / 13
L = 13
So the length of the room is also 13 cm. Finally, we can calculate the perimeter:
P = 2L + 2W
P = 2(13) + 2(13)
P = 26 + 26
P = 52
Therefore, the perimeter of the room is 52 cm.
A 5/7 of water was removed from a pocket 100 liter of water was left. What is the capacity of the bucket?
Let's assume that the capacity of the bucket is "C" liters.
We know that 5/7 of the water was removed, which means that 2/7 of the water, or 2/7C liters of water, were removed. What was left in the bucket was 100 liters, so we can set up the following equation:
100 = C - (2/7)C
Simplifying this equation, we can first distribute the 2/7 to get:
100 = (5/7)C
Then we can multiply both sides by the reciprocal of 5/7 to solve for C:
C = 100 / (5/7)
C = 140
Therefore, the capacity of the bucket is 140 liters.
If x°, 105°, 43° and 62° angles of a quadrilateral. Find the value of x
The angles of a quadrilateral add up to 360 degrees. Therefore, we can use the information given to set up the following equation:
x + 105 + 43 + 62 = 360
Simplifying the left side of the equation, we get:
x + 210 = 360
Subtracting 210 from both sides of the equation, we get:
x = 150
Therefore, the value of x is 150 degrees.
How to find angle for and right angle triangle
In a right-angled triangle, one of the angles is 90 degrees. To find the other two angles, follow these steps:
1. Identify which side is the hypotenuse (the longest side) of the triangle.
2. Label the other two sides as "a" and "b".
3. Use the trigonometric ratios to find the value of the other two angles. The most common trigonometric ratios used for this purpose are:
- Sine (sin): sin(A) = opposite/hypotenuse
- Cosine (cos): cos(A) = adjacent/hypotenuse
- Tangent (tan): tan(A) = opposite/adjacent
For example, if you want to find angle A, you can use the sine ratio to solve for it:
sin(A) = opposite/hypotenuse
sin(A) = a/hypotenuse
To isolate A, take the inverse sine (sin^-1) of both sides:
A = sin^-1(a/hypotenuse)
You can use similar equations with the cosine and tangent ratios to find angles B and C, respectively.
Note: To use these ratios, you need to know the lengths of at least two sides of the triangle.
Find the circumference of a circle whose radius is 7 cm (take π as 22/7)
The formula for the circumference of a circle is:
C = 2πr
where C is the circumference, r is the radius, and π is pi (approximately 3.14).
In this case, the radius is given as 7 cm and we are asked to take π as 22/7. Plugging in these values into the formula, we get:
C = 2(22/7)(7)
C = 44
Therefore, the circumference of the circle is 44 cm.
Find the area of a square whose perimeter is 60cm.
The perimeter of a square is given by the formula:
P = 4s
where P is the perimeter and s is the side length of the square.
In this case, the perimeter is given as 60 cm. We can use this information to solve for the side length as follows:
60 = 4s
s = 60/4
s = 15
Therefore, the side length of the square is 15 cm. To find the area of the square, we can use the formula:
A = s^2
Plugging in the value we found for s, we get:
A = 15^2
A = 225
Therefore, the area of the square is 225 square cm.
How many degrees does the minute hand of a clock turn in 20 minutes
The minute hand of a clock rotates 360 degrees in 60 minutes, or 6 degrees in 1 minute. Therefore, to find how many degrees the minute hand of a clock turns in 20 minutes, we can multiply the number of minutes by the degrees per minute:
20 minutes * 6 degrees/minute = 120 degrees
Therefore, the minute hand of a clock turns 120 degrees in 20 minutes.
If 2/3 of a number is removed from 3/4 of the same number the result is 26, find the number.
Let's assume that the number we are trying to find is "x".
If 2/3 of the number is removed, we are left with 1/3 of the number. And if 3/4 of the same number is taken, we are left with 1/4 of the number. Therefore, we can set up the following equation based on the problem:
3/4x - 2/3x = 26
To solve for "x", we need to first find a common denominator for the two fractions:
9/12x - 8/12x = 26
1/12x = 26
Multiplying both sides by 12, we can solve for "x":
x = 26 * 12 / 1
x = 312
Therefore, the number we were looking for is 312.
Seun thinks of a number, he added 5 to it and divided the results by 3, if the final answer is 7, what is the number?
Let's assume that the number Seun thinks of is "x".
According to the problem, Seun added 5 to x and divided the result by 3. This can be written as:
(x + 5) / 3 = 7
To solve for "x", we can multiply both sides of the equation by 3:
x + 5 = 21
Subtracting 5 from both sides of the equation, we get:
x = 16
Therefore, the number that Seun thinks of is 16.
The area of a triangle is 72 square cm, given that the base is 8 cm, find the height of the triangle.
The area of a triangle is given by the formula:
A = (1/2)bh
where A is the area, b is the base, and h is the height of the triangle.
In this case, we are given that the area is 72 square cm and the base is 8 cm. Plugging in these values into the formula, we can solve for the height as follows:
72 = (1/2)(8)(h)
Multiplying both sides by 2 and simplifying, we get:
144 = 8h
Dividing both sides by 8, we get:
h = 18
Therefore, the height of the triangle is 18 cm.
An aeroplane flies a distance of 450 km in 3/4 hours, at what speed does it travel?
The speed of an object is given by the formula:
speed = distance / time
In this case, we are given that the distance traveled is 450 km and the time taken is 3/4 hours. Plugging in these values into the formula, we can solve for the speed as follows:
speed = 450 km / (3/4) hours
To divide by a fraction, we can multiply by its reciprocal:
speed = 450 km * (4/3 hours)
Simplifying the right side of the equation, we get:
speed = 600 km/h
Therefore, the aeroplane travels at a speed of 600 km/h.
Change 4.5 days to hours
To convert days to hours, we can use the fact that there are 24 hours in a day.
So, to convert 4.5 days to hours, we can multiply 4.5 by 24, like this:
4.5 days * 24 hours/day = 108 hours
Therefore, 4.5 days is equivalent to 108 hours.
Simplify 3/4 - 1/3 ÷ 2/5 + 1/2.
To simplify the expression 3/4 - 1/3 ÷ 2/5 + 1/2, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
In this case, there are no parentheses or exponents, so we can move straight to multiplication and division.
Let's take care of the division first:
3/4 - 1/3 ÷ 2/5 + 1/2
= 3/4 - (1/3 * 5/2) + 1/2 (We reciprocated the divisor and multiplied by it)
= 3/4 - 5/6 + 1/2
= (9/12) - (10/12) + (6/12) (We found common denominator)
= 5/12
Therefore, the simplified value of the expression is 5/12.
How many weeks are there in 840 hours?
To convert hours to weeks, we need to know how many hours are in a week. There are 7 days in a week, and 24 hours in a day, so there are:
7 days/week * 24 hours/day = 168 hours/week
Therefore, to convert 840 hours to weeks, we can divide 840 by 168:
840 hours / 168 hours/week = 5 weeks
Therefore, there are 5 weeks in 840 hours.
The perimeter of an equilateral triangle is 69 cm what is the length of one of the side?
An equilateral triangle has three equal sides. Let's assume that the length of one of the sides is "s".
The perimeter of an equilateral triangle is given by the formula:
Perimeter = 3s
In this case, we are given that the perimeter is 69 cm. Plugging in this value into the formula, we can solve for "s" as follows:
69 = 3s
Dividing both sides by 3, we get:
s = 23
Therefore, the length of one of the sides of the equilateral triangle is 23 cm.
Simplify the sum of √5/2 and √16/9
To simplify the sum of √5/2 and √16/9, we can first simplify each term separately.
√5/2 can be simplified by multiplying both the numerator and denominator by √2:
√5/2 * √2/√2 = (√10)/2
Similarly, √16/9 can be simplified by taking the square root of the numerator and denominator:
√16/9 = 4/3
Now we can substitute these simplified terms back into the original equation:
(√10)/2 + 4/3
To add these two terms, we need to find a common denominator. The lowest common multiple of 2 and 3 is 6, so we can rewrite (√10)/2 with a denominator of 6:
(√10)/2 * 3/3 = (3√10)/6
Now we can add the two terms:
(3√10)/6 + 4/3
To add these fractions, we need to find a common denominator of 6:
(3√10)/6 + 8/6
Now we can add the numerators:
(3√10 + 8)/6
Therefore, the sum of √5/2 and √16/9 simplified is (3√10 + 8)/6.
Express 38% as a fraction in its lowest term
To express 38% as a fraction, we can use the definition of percentage. The word percent means "per hundred," so 38% is equal to 38 per hundred, or 38/100.
To simplify this fraction, we can find the greatest common factor of the numerator (38) and denominator (100), which is 2. Dividing both the numerator and denominator by 2, we get:
38/100 = 19/50
Therefore, 38% expressed as a fraction in its lowest terms is 19/50.
A tank 3m long and 8m wide holds 48 cubes metres of water find the tides
The volume V of water that a tank can hold is given by the formula:
V = L × W × H
where L is the length of the tank, W is its width, and H is the height of the water.
In this case, we are given that L = 3m, W = 8m, and V (the volume of water in the tank) = 48 cubic meters.
Substituting these values into the formula, we get:
48 = 3 × 8 × H
Simplifying the right side of the equation, we get:
48 = 24H
Dividing both sides by 24, we get:
H = 2
Therefore, the height of the water (i.e., the depth of the tank) is 2 meters.
A meeting started at 2:45 p.m. and ended at 5:25 p.m. on the same day, how long did the meeting last?
To find the duration of the meeting, we need to subtract the start time from the end time.
The start time is 2:45 p.m.
The end time is 5:25 p.m.
To subtract the start time from the end time, we can subtract the minutes first and then the hours.
For the minutes:
25 (end minutes) - 45 (start minutes) = 40
For the hours:
5 (end hour) - 2 (start hour) = 3
Putting it together:
The meeting lasted for 3 hours and 40 minutes.
Bot 45-25 is 20
Yes, that is correct.
45 - 25 = 20
Please can you correct the answer now to find the correct answer above
I apologize for the mistake. The correct answer to 45-25 is 20. Thank you for bringing it to my attention.
Express 3 whole number 1/4 as decimal
To express 3 1/4 as a decimal, we can start by recognizing that 1/4 can be written as 0.25. So:
3 1/4 = 3 + 1/4
= 3 + 0.25
= 3.25
Therefore, 3 1/4 is equivalent to 3.25 when expressed as a decimal.