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3 years ago

The length of the hypotenuse of a right triangle is 13 m. the length of one leg is 5 cm. find the length of the other leg

Mathematics

1 answer:

eimsori [14]3 years ago

7 0

A^2 + B^2=C^2 so there for the hypotenuse (13^2) - (5^2) will give you the last side

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The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste and 2460 dollars for 135 kg of waste. (a)

Ulleksa [173]

Answer:

$C=18w+30$

Step-by-step explanation:

We are given that The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste

So, $(x_1,y_1)=(100,1830)$

We are also given that The monthly charge for a waste collection service is 2460 dollars for 135 kg of waste.

So, $(x_2,y_2)=(135,2460)$

We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute the values

$y-1830=\frac{2460-1830}{135-100}(x-100)$

$y-1830=18(x-100)$

$y-1830=18x-1800$

$y=18x-1800+1830$

$y=18x+30$

y denotes the cost

x denotes the weight

So, Replace y with C and x with w

$C=18w+30$

So, a linear model for the cost, C, of waste collection as a function of the number of kilograms, w is $C=18w+30$

7 0

2 years ago

A cylinder's volume can be calculated by the formula V=Bh, where V stands for volume, B stands for base area, and h stands for h

Anastaziya [24]

Answer:

$h = 3x^5-3x^2-10\text{ units}$

Step-by-step explanation:

We are given the following in the question:

Volume of cylinder =

$V=Bh$

where B is the area of base and h is the height of cylinder.

Volume of cylinder =

$V = 6\pi x^7-6\pi x^4-20\pi x^2$

Base area =

$B = 2\pi x^2$

We have to find height of cylinder.

$h = \dfrac{V}{B}\\\\h = \dfrac{6\pi x^7-6\pi x^4-20\pi x^2}{2\pi x^2}\\\\h = 3x^5-3x^2-10\text{ units}$

Thus, the height of cylinder is $3x^5-3x^2-10$ units.

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2 years ago

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How do I solve question 2?

sdas [7]

you multiply the number of years

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2 years ago

Find the area of the trapezoid. <br> Answer options: 60sqrt3, 52sqrt3, 44sqrt3 -24, 44sqrt3

antoniya [11.8K]

Answer:

= 52sqrt3

Step-by-step explanation:

Area of a trapezium is given by the formula;

1/2(a+b)h

Where a and b are the parallel sides and h is the perpendicular height.

a = 15 ft, b= 11 ft and h = 4√3

Therefore;

Area = 1/2 (15+11) 4√3

= 1/2 × 26 × 4√3

= 52√3 ft²

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3 years ago

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Laurel wants to build a fence around her square garden. Each side measures 50 feet. She also wants to fence in 3 square rose bed

pickupchik [31]

If you would like to know how many feet of fencing does Laurel need in all, you can calculate this using the following steps:

square garden: 4 * 50 feet = 200 feet
3 square rose beds: 3 * 10.5 feet * 4 = 12 * 10.5 feet = 126 feet

200 feet + 126 feet = 326 feet

Laurel will need 326 feet of fencing.

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3 years ago