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ivann1987 [24]
3 years ago
11

Divide £54 in the ratio of 1:5

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0
9:45 = 1:5

54/6=9
9*5=45
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Use the drop-down menus to solve the system using the 5-step process you just learned. x + 6y = 29 2x - 4y = -6 1) Solve for x i
Genrish500 [490]
We have the following system of linear equation:

(1) x+6y=29
(2) 2x-4y=-6

Let's apply elimination method by multiplying (1) by -2, then:

-2(x+6y)=-2(29)
∴ -2x-12y = -58

Next let's subtract (1) and (2):

(1) -2x-12y = -58
(2) 2x-4y=-6
_______________________
-16y=-64
∴ y=4

Finally, substituting this value in (1) we have that:

x+6(4)=29
∴ \boxed{x=5}
5 0
3 years ago
Read 2 more answers
A cylinder whose height is 5 meters has a volume of 320π cubic meters find the radius of the cylinder A.8m b.12.8m c.64m d.201m
icang [17]
The answer is 64 it’s just dividing the cubic meters by the meters
8 0
3 years ago
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Lapatulllka [165]
Hello!

The formula for the area of a sector can be written as follows:

Area = \frac{1}{2}r^{2}(R)

In the above formula, “r” represents the radius while “R” represents the radian measure of a sector. The radius is given to us in the image above as 10 inches. However, we still need the radian measure of the two sectors. To find this measure, we can use the following conversion:

1 degree = \frac{pi}{180} radians

Because the two sectors have a given measure of 72 degrees, we need to multiply both sides of the above conversion by 72:

72 degrees = \frac{72pi}{180}

Reduce the fraction on the right side of the equation:

72 degrees = \frac{2pi}{5}

We now have the radian measure of both sectors. Now simply insert this and any other known values into the “area of a sector” formula above:

Area = \frac{1}{2}10^{2}(\frac{2pi}{5})

Simplify the right side of the equation to get the following answer:

Area = 20 pi

We have now proven that the area of one sector is equal to 20 pi.

If, however, you need the combined area of the two identical sectors, simply multiply the proven area by 2 to get a total area of 40 pi.

I hope this helps!


3 0
3 years ago
A student measures a rectangular room to be 20.0 m×17.16 m. Which of the numbers below represents the room's area with the corre
timofeeve [1]
It is c!  $$$ i used a calculator. :)        8')
                                                           .            .
                                                                 .           
                                                           ------------
6 0
3 years ago
Suppose you flip a coin 100 times, with 53 tosses landing heads up. What percentage of the tosses would be tails?
Kipish [7]

Answer:

47%

Step-by-step explanation:

47/100= 0.47

4 0
3 years ago
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