All categories

3 years ago

What is the solution to the proportion 4/12=10/x

Mathematics

2 answers:

Nady [450]3 years ago

8 0

30, multiply 4 by 2.5 to get 10, then multiply 12 by 2.5 to get 30 (or x).

sergeinik [125]3 years ago

6 0

Hi Brainiac 4/12 = 10/x Use cross multiply 4x = 120 Divide both sides by 4 4x/4 = 120/4 X = 30 The answer is A I hope that's help :)

You might be interested in

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

8 0

3 years ago

0=x^2- 10x+10<br> Rewrite the equation by completing the square

zubka84 [21]

$~~~~~~x^2 -10x +10 =0\\\\\implies x^2 -2 \cdot 5 \cdot x +5^2 -5^2 +10 = 0\\\\\implies (x-5)^2 -25+10 = 0\\\\\implies (x-5)^2 -15=0\\\\\implies (x-5)^2 = 15$

4 0

2 years ago

Jasmine starts rock climbing at an elevation of -100 feet and rock climbs up to an elevation of 40 feet. What was Jasmine's chan

Harman [31]

Answer: -100 + x = 40

Step-by-step explanation: We know she starts at -100 feet, she is increasing in elevation, so we want to add a positive x to her initial value of -100. If we keeping adding that x, it will soon result in a positive value of 40.

8 0

3 years ago

11c4 how do I get the answer

Yakvenalex [24]

Answer:

330

Step-by-step explanation:

This is the "choose" formula.

The equation for the choose formula is this:

nCk = n! / k!(n-k)!

! = factorial.

Plug in our numbers:

11C4 = 11! / 4!(11-4)!

39916800 / 24(5040)

39916800 / 120960

330

6 0

3 years ago

How is a rational number converted to its decimal form?

luda_lava [24]

Answer:

Answer to first question is:

You can convert all fractions to decimals. The decimal forms of rational numbers either end or repeat a pattern. If the fraction is a mixed number, change it to an improper fraction. Divide the numerator by the denominator. If the division doesn't come out evenly, round the decimal off.

Answer to second question is: 0.222222

Answer to third question is: Yes

Step-by-step explanation:

Well the way I think of it is:

3/9 as a fraction is 1/3... so 1 divided by 3 equals 0.333333 repeating. You can even write it as:

0.3 with the fraction bar over it because it keeps repeating.

This goes for 2/9. All you have to do is do 2 divided by 9 and you get 0.222222 repeating. You can even write it as:

0.2 with the fraction bar over it because it keeps repeating.

Hope this helps, have a good day. c;

3 0

3 years ago