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CaHeK987 [17]
2 years ago
8

Made up of quantities and the operations performed on them what is this vocab word

Mathematics
1 answer:
maxonik [38]2 years ago
7 0
Equation. This word may fit your definition of a set of values or numbers –intergers- coupled with basic operations. Equation is mathematical form of body where there are two adjacent corners which aims as the word says, equation. Take for instance in illustration 2x + 5x = 7x. This “equation” is composed of these numbers with unknowns and the operation of addition with them. When you have solved for 7x in the example, it only shows that to attain “equation”, solution is performed and done. Hence, these two works relationally.



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Answer:

y = 25h

Step-by-step explanation:

y is the total pay she received.

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A circus tent is cylindrical up to a height of 7 m and is in the shape of a cone over it, the diameter of the cylindrical part i
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\bold{\huge{\underline{ Solution }}}

<h3><u>Given </u><u>:</u><u>-</u><u> </u></h3>

• The circus tent is composed of cylinder and a cone.

• The height and diameter of the cylindrical part are 7m and 10m

• The total height of the circus tent 19m

• The cost of making the tent at a cost of 35 m² cloth.

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u><u> </u></h3>

<u>Here</u><u>, </u><u> </u><u>we </u><u>have </u><u>,</u>

  • Cylinder and cone
  • The height and diameter of the cylinder are 7m and 10m
  • Therefore , radius = 5 m

<u>We </u><u>know </u><u>that</u><u>, </u>

Curved Surface area of the cylinder

\sf{ = 2{\pi}rh}

<u>Subsitute the required values, </u>

\sf{ = 2{\times}3.14{\times}5{\times}7}

\sf{ = 6.28 {\times}5{\times}7}

\sf{ = 6.28 {\times}35}

\bold{ = 219.8m^{2}}

Thus, The area of the cylinder is 219.8m² .

<h3><u>Now</u><u>, </u></h3>

•We have to find the area of the cone.

•Here, Base of cone = diameter of the cylinder.

•The height of the cone will be

= Height of the tent - Height of cylinder

\sf{ = 19 - 7 }

\bold{ = 12 m }

<u>We </u><u>know </u><u>that</u><u>, </u>

Area of cone

\bold{ = {\pi}rl }

  • Here, l is the slant height.

Slant height of the cone

\sf{ = \sqrt{ h^{2} + r^{2}} }

\sf{ = \sqrt{ (12)^{2} + (5)^{2}} }

\sf{ = \sqrt{ 144 + 25}}

\sf{ = \sqrt{ 169}}

\sf{ = \sqrt{ 13{\times} 13 }}

\bold{ = 13 m }

Thus, The slant height of the cone is 13 m

<u>Subsitute </u><u>the </u><u>required </u><u>values </u><u>in </u><u>the </u><u>above </u><u>formula </u>

\sf{ = 3.14 {\times} 5 {\times} 13}

\sf{ = 3.14 {\times} 65}

\bold{ = 204.1 m^{2}}

Thus, The area of the cone is 204.1 m² .

<h3><u>Therefore</u><u> </u><u>,</u></h3>

The total area of the circus tent

\sf{ = 204.1 + 219.8}

\bold{ = 423.9m^{2} \: or \: 424 m^{2}}

<h3><u>Now</u><u>, </u></h3>

  • We have to find the total cost of making the tent.
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<u>Therefore</u><u>, </u>

The total cost for making the circus tent

\sf{ = 424 {\times} 35}

\bold{ = 14840}

Hence, The total cost for making the tent is 14840 .

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Answer:

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