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3 years ago

Find the slope of the line that passes through (8, 3) and (6,2)

Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer:

$m = \frac{y_ 2 - y_ 1}{x_ 2 - x_ 1} = \frac{2 - 3}{6 - 8} \\ m = \frac{ - 1}{ - 2} \\ \therefore \: m = \frac{1}{2}$

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What is 15/20 reduced

sukhopar [10]

Answer:

3/4

Step-by-step explanation:

Divide both by 5. Top is 3 and bottom has 4. So that equals 3/4

7 0

3 years ago

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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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2 years ago

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Mikw earned %ll.76 per hour for working 23.5 hours last week. how much money did mike earn last week?\

ololo11 [35]

276.36 should be the answer

6 0

3 years ago

Which is a factor of 6x^2 + x − 7? A. x + 1 B. 2x + 1 C. 6x + 7 D. 3x + 7

myrzilka [38]

I hope this helps you

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3 years ago

I can’t figure this out!! please helppp

krok68 [10]

Answer:

The third answer

Step-by-step explanation:

(side note: You probably need to use a calculator that can calculate pi)

The formula to find the area of a circle is pi r squared.

In this case, pi times r squared is 19.63495....... continued

This is probably going to be rounded

so... 19.63

For all of the circles, this is multiplied by 4.

This is 78.52

The area of the square is 100 cm since 10 times 10 is 100

You take 100 cm and then subtract it by 78.54

Voila! now you have 21.46

3 0

3 years ago

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