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timofeeve [1]
3 years ago
11

A piece of string of length 85 cm is divided into three pieces in the ratio 2 : 3 : 5. Calculate the length of the

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

Answer:

a=2/10 x85

=17cm

b.3/10 x 85

=25.5cm

c.5/10 x 85

=42.5cm

the shortest piece is 17cm

Step-by-step explanation:

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PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. Wh
SVETLANKA909090 [29]

Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as   x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

A quadratic equation is generally shown in the form of ax^{2} +bx + c = 0

For example, if you saw the equation  7x^{2} + 3x + 20 = 0

7 would be a, 3 would be b, and 20 would be c.

To solve the equation above, you would fill in the quadratic formula as such, x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}

Then you could solve for x.

2. What part in the Quadratic Formula is the discriminant?

The discriminant is the equation under the square root on the quadratic formula, b^{2} - 4ac

It is tells us whether there are two solutions, one solutions, or no solutions.

3.  How do you know the number of solutions based on the value of the discriminant?

To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, 7x^{2} + 3x + 20 = 0

We will plug the values into the discriminant.

3^{2} - 4(7)(20) = -551

Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.

Hope this helps! (Please consider Brainliest)

8 0
3 years ago
Express the volume of the box as a<br>polynomial in the variable x
Whitepunk [10]

The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

<h3>How to determine the volume?</h3>

The complete question is added as an attachment

From the attached image, we have:

Length = 12 - 2x

Width = 7 - 2x

Height = x

The volume is calculated as:

Volume = Length * Width * Height

Substitute the known values in the above equation

Volume = (12 - 2x) * (7 - 2x) * x

This gives

Volume = x(12 - 2x)(7 - 2x)

Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

Read more about polynomial at:

brainly.com/question/4142886

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7 0
2 years ago
a container of candy is shaped like a cylinder and has a volume of 125.6 cubic centimeters. If the heights of the container is 1
Elenna [48]

The radius of the container is 2 centimeter

<h3><u>Solution:</u></h3>

Given that a container of candy is shaped like a cylinder

Given that volume = 125.6 cubic centimeters

Height of conatiner = 10 centimeter

To find: radius of the container

We can use volume of cylinder formula and obatin the radius value

<em><u>The volume of cylinder is given as:</u></em>

\text {volume of cylinder }=\pi r^{2} h

Where "r" is the radius of cylinder

"h" is the height of cylinder and \pi is constant has value 3.14

Substituting the values in formula, we get

\begin{array}{l}{125.6=3.14 \times r^{2} \times 10} \\\\ {r^{2}=\frac{125.6}{31.4}} \\\\ {r^{2}=4}\end{array}

Taking square root on both sides,

r = \sqrt{4}\\\\r = 2

Thus the radius of the container is 2 centimeter

4 0
3 years ago
Determined to find the slope<br>(1,7K) and (-3,5k)​
Nadusha1986 [10]

9514 1404 393

Answer:

  slope = k/2

Step-by-step explanation:

The slope formula is useful for finding slope.

  m = (y2 -y1)/(x2 -x1)

  m = (5k -7k)/(-3 -1)

  m = -2k/-4

  m = k/2

The slope is k/2.

4 0
3 years ago
The moon has a surface area of approximately 14,650,000 m^2. Estimate its radius to the nearest mile
Elza [17]

\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=14650000 \end{cases}\implies 14650000=4\pi r^2 \\\\\\ \cfrac{14650000}{4\pi }=r^2\implies \cfrac{3662500}{\pi }=r^2\implies \sqrt{\cfrac{3662500}{\pi }}=r\implies 1079.73\approx r

7 0
3 years ago
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