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3 years ago

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Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and

t represents time, which equation represents this proportional relationship?
dt = 6

d = 6t

1 answer:

spayn [35]3 years ago

0 0

The answer would be d=6t

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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

yan [13]

$\bold{\huge{\underline{ Solution }}}$

<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.
The cost for 1 m² = 35

<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 .

7 0

2 years ago

Read 2 more answers

Two numbers have a difference of 4 and -8. What is their product?

Wittaler [7]

Difference means - so 4-(-8)

which also the same as 4+8 so ur answer is 12

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3 years ago

The set of numbers 1,7,11 and 36 contains values for m what value of m makes the equation true 4m+8 equals 36

frosja888 [35]

Answer:

4m+8=36
4m=36-8=28
m=28÷4=7
m=7

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3 years ago

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VARVARA [1.3K]

Answer:

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Step-by-step explanation:

multiply the two numbers together

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3 years ago