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2 years ago

Give the equation of the line through the point ( – 15, - 1) with a slope of -3/5 in slope -intercept form

Mathematics

1 answer:

shutvik [7]2 years ago

7 0

Answer:

-1 = (-3/5)-15 + b

(I don't know the y-intercept bc I don't have a graphing calc but to find it out you just graph it and then see where the line passes thru the y axis)

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

Here, we have ,

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

We know that, 

Curved Surface area of the cylinder

$\sf{ = 2{\pi}rh}$

Subsitute the required values,

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

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

$\sf{ = 6.28 {\times}35}$

$\bold{ = 219.8m^{2}}$

Thus, The area of the cylinder is 219.8m² .

•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

$\sf{ = 19 - 7 }$

$\bold{ = 12 m }$

We know that, 

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

Subsitute the required values in the above formula

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

$\sf{ = 3.14 {\times} 65}$

$\bold{ = 204.1 m^{2}}$

Thus, The area of the cone is 204.1 m² .

<h3>Therefore ,</h3>

The total area of the circus tent

$\sf{ = 204.1 + 219.8}$

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

We have to find the total cost of making the tent.
The cost for 1 m² = 35

Therefore,

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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Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per

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