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d1i1m1o1n [39]
2 years ago
9

How to draw a picture that represents 24 divided by 6

Mathematics
2 answers:
olasank [31]2 years ago
8 0
Draw a cake or a pie cut into 24 pieces. Then draw 6 figures around the cake. color code each group of 4 pieces of cake and coordinate it with figure.

Ex: If 4 pieces of the cake were red, color one of the figures red so each figure gets 4 pieces of the cake.
kobusy [5.1K]2 years ago
6 0

The given Operation is : 24 ÷ 6

The Land acquired by Mr. Stefan's is 24 hectare.Mr Stefan's has six children.The land should be equally distributed among six children.How much of land that each of Mr.Stefan children will get.

So, the result is : 24 ÷ 6 =4

Drawn the picture for you below.


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Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an eq
ziro4ka [17]

The fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Explanation:

The equation is \frac{3}{\sqrt{17}-\sqrt{2}}

To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.

Rewriting the equation, we have,

\frac{3}{\sqrt{17}-\sqrt{2}}\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Multiplying, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{(\sqrt{17})^{2}-(\sqrt{2})^{2}}

Simplifying the denominator, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{17-2}

Subtracting, the values of denominator,

\frac{3(\sqrt{17}+\sqrt{2})}{15}

Dividing the numerator and denominator,

\frac{\sqrt{17}+\sqrt{2}}{5}

Hence, the denominator has become a rational denominator.

Thus, the fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

6 0
2 years ago
Read 2 more answers
A cell tower is located 3 miles east and 4 miles north of the center of a small town. The cell tower has a coverage radius of 3
butalik [34]

Answer:

The answer is below

Step-by-step explanation:

A cell tower is located 3 miles east and 4 miles north of the center of a small town. The cell tower has a coverage radius of 3 miles.

a) Start by drawing a diagram of this situation. Your diagram might include a coordinate plane, the cell tower, and a circle representing the cell tower's coverage boundary.

a) A house is located 5 miles north of the center of the town and is to the east of the cell tower. If the house lies on the boundary of the cell tower's coverage, how far east of the center of the town is the house?

Answer:

Let the center of the town represent the origin (0,0). Also 1 unit = 1 mile. Since the cell tower is located 3 miles east and 4 miles north of the center of a small town, it is represented by A(3, 4)

The cell tower has a coverage of radius 3 miles. This can be represented by a circle with equation:

(x - a)² + (y - b)² = r². where (a,b) is the center of the circle and r is the radius. Hence:

(x - 3)² + (y - 4)² = 3²

(x - 3)² + (y - 4)² = 9

The diagram is drawn using geogebra.

b) The house is 5 miles north. It can be represented by y = 5 line.

To find the distance east of the house we have to substitute y = 5 and solve for x, hence:

(x - 3)² + (y - 4)² = 9

(x - 3)² + (5 - 4)² = 9

(x - 3)² + 1 = 9

(x - 3)² = 8

(x - 3) = √8

x - 3 = ±2.83

x = 3 ± 2.83

x = 5.83 or 1.83

Since it is to the east to the cell tower, hence x = 5.83.

Therefore the house is located 5.83 miles to the east of the cell tower

8 0
2 years ago
Suppose the radius of a circle is \color{purple}{3}3start color purple, 3, end color purple. what is its circumference?either en
Vlada [557]

\text{Consider the circle of radius 3.}\\
\\
\text{we need to find the cirumference of the circle.}\\
\\
\text{we know that the circumference of the circle of radius r is given by}\\
\\
\text{circumference}=2\pi r\\
\\
\text{so using this formula, the circumference of the given circle is}

\text{Circumference}=2\pi r\\
\\
=2\pi \times 3\\
\\
=6\pi
\\
\text{so the circumference of the circle is}=6\pi\\
\\
\text{and in decimals, it gives}=6\times 3.14\\
\\
\Rightarrow \text{circumference}=18.84

Hence the circumference of the circle is: 6π  or  18.84 units

6 0
2 years ago
Read 2 more answers
Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8
Kitty [74]

Answer:

No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.

this will help

8 0
1 year ago
Read 2 more answers
Maël mixes 15 milliliter (mL) of bleach with 3.75 liters (L) of water to make a sanitizing solution for a daycare. The amounts o
Yanka [14]
You have not provided the options, therefore, I cannot give you an exact answer.
However, I will try to help you with the concept.

<u>First, we need to make all units the same in the problem. I will convert all units to ml.</u>
We have:
amount of bleach = 15 ml
amount of water = 3.75 liters = 3.75 * 1000 = 3750 ml

<u>Now, we will get the ratio between bleach and water:</u>
\frac{bleach}{water} =  \frac{15}{3750} =  \frac{1}{250}

<u>This ratio is fixed, therefore, to get the right choice:</u>
1- make all units the same
2- for each option, divide the amount of bleach by the amount of water.
The correct choice would be the one giving you \frac{1}{250}

Hope this helps :)
5 0
2 years ago
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