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Vinil7 [7]
3 years ago
15

In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin di

d the successful candidate win the election.
Mathematics
1 answer:
Sav [38]3 years ago
8 0

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

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The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.
Olin [163]

Answer:

h = 5\ cm

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

The height of a triangle is 5 cm shorter than its base. This means that:

h = B-5.

 The area of the triangle is 25 cm²

By definition the area of a triangle is:

A = 0.5Bh

For this triangle we know that A = 25\ cm^2 and h = B-5. We substitute these values in the equation and solve for B.

25 = 0.5B (B-5)

0.5B ^ 2-\frac{5}{2}B-25 = 0

Now we use the quadratic formula to solve the equation.

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

B=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:  a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25

Then:

B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}

B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}

B=\frac{5}{2}\±\frac{15}{2}

The solutions are:

B_1=\frac{5}{2}+\frac{15}{2}=10

B_2=\frac{5}{2}-\frac{15}{2}=-5

For this problem we take the positive solution.

B=10\ cm

Now we substitute the value of B in the equation to find the height h

h = 10-5

h = 5\ cm

6 0
3 years ago
What is the value of y^2-x^4y
Daniel [21]

Answer:

Step-by-step explanation:

y²-x⁴

y=9, x=2

9²-2⁴ = 81-16 = 65

4 0
3 years ago
There is a strong positive linear correlation between rainfall and the number of peaches a tree produces. does this mean that mo
yulyashka [42]
A strong positive correlation means that as one variable increases so does the other and that they do so in a linear relationship. So what this means is that “as the rainfall increases, the number of peaches a tree produces increases.”

It does not mean that the rainfall causes the tree to produce more peaches. The correlation only establishes that the two variables are related in that one increases as the other does. It is NOT the case that this means for sure one causes the other. We cannot assume causality when using a correlation.

It might be that the rain causes more peaches to grown or it might be that some other factor or combination of factors causes the growth. We just do not know.



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I think C would be it
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