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2 years ago

What is proportion as applied in mathematics

Mathematics

1 answer:

Mariana [72]2 years ago

5 0

Answer:

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol "::" or "=".

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What is 50.5% of 80?

MariettaO [177]

The answer to your question is 40.4

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2 years ago

I need help with this problem -8(2v-2)=-4(7+5v)

Ne4ueva [31]

Answer: I'm not sure if this is right or not but I got U = 4

Step-by-step explanation: -8(2v-2)=-4(7+5u. So first I distributed and got -16v -16 = 28 + 20u. And then I added 16u with 20u I added because you change the sign like if it's a negative you make it a positive so once you do 20u+16v you should get 36 and then on the other side it should be -16+16 which equals -16u from when you distributed so now you should have -16u=28+36 so now you would add 28 the 36 since they both are positives and have no variables which you should get 64 and then on the left you should have 16u. So it looks like -16u=64. And then now you would divide -16u on both sides and the side with the variable put it or v whatever variable you want to use and then do 64 divided by 16 and you should get 4.

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3 years ago

Choose the correct simplification of the expression a2 ⋅ a3. a a6 a5 a−1

alina1380 [7]

Answer: The correct option is (C) $a^5.$

Step-by-step explanation: We are given to choose the correct simplification for the following expression :

$P=a^2.a^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following property of exponents :

$x^a.x^b=x^{a+b}.$

So, the simplification of expression (i) is as follows :

$P\\\\=a^2.a^3\\\\=a^{2+3}\\\\=a^5.$

Thus, the correct simplification of the given expression is $a^5.$

Option (C) is CORRECT.

3 0

3 years ago

Read 2 more answers

Find the area of the figure.

allsm [11]

Answer:

Step-by-step explanation:

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2 years ago

What complex number is represented by the polar coordinates (4, -pi/4)

nexus9112 [7]

Answer:

$\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}$

Step-by-step explanation:

A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as |z|).

Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.

Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.

$\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}$

Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.

$\displaystyle \large{z=4\left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}i \right)}\\\\\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}$

Hence, the complex number that has polar coordinate of (4,-45°) is $\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}$

3 0

1 year ago

What is proportion as applied in mathematics​

What is proportion as applied in mathematics