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3 years ago

What is the length and width of the rectangle if the area is 72 squre meters?

Mathematics

1 answer:

cupoosta [38]3 years ago

5 0

Answer:

sorry

Step-by-step explanation:

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A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x. Find the height of t

n200080 [17]

$\bf \textit{volume of a cylinder}\\\\
V_c=\pi r^2h\qquad 
\begin{cases}
r=radius\\
h=height\\
------\\
r=x\\
h=y
\end{cases}\implies V_c=x^2y\pi 
\\\\\\
\textit{volume of a cone}\\\\
V_n=\cfrac{\pi r^2h}{3}\qquad r=2x\implies V_n=\cfrac{\pi \cdot (2x)^2h}{3}
\\\\\\
V_n=\cfrac{\pi \cdot 2^2x^2h}{3}\implies V_n=\cfrac{4x^2h\pi }{3}\\\\
-------------------------------\\\\$

$\bf V_c=V_n\implies x^2y\pi =\cfrac{4x^2h\pi }{3}\implies 3x^2y\pi =4x^2h\pi 
\\\\\\
\cfrac{3x^2y\pi }{4x^2\pi }=h\implies \boxed{\cfrac{3y}{4}=h}$

5 0

3 years ago

Given that 3x+2y=5a+b and 4x-3y=a+7b, solve for y-x in terms of a and b.

Eduardwww [97]

Answer:

y - x = - 2 b

Step-by-step explanation:

Given-

3 x + 2 y = 5 a + b...................(i)

4 x - 3 y = a + 7 b.....................(ii)

Multiply by 3 and 2 in equation (i) & (ii) respectively-

Add equation (iii) & (iv)-

9 x + 6 y = 15 a + 3 a...................(iii)

8 x - 6 y = 2 a + 14 b ...................(iv)

17 x = 17 a + 17 b

x = a + b

Put x = a + b in equation (i)-

2 y = 5 a + b - 3 a - 3 b

2 y = 2 a - 2 b

y = a - b

∴ y - x = a - b - ( a + b )

y - x = a - b - a - b

y - x = - 2 b

3 0

3 years ago

Which of the following shows the solution and graph to the inequality 2x + 1 ≤ 15?

icang [17]

Answer:

C or D

Step-by-step explanation:

I'm taking this same thing, not sure if it's c or d. The thing that I'm puzzled about is what the difference between the white dot and the black dot is.

4 0

3 years ago

Read 2 more answers

What number would be ten times more than 3,162

miv72 [106K]

3,162 x 10 = 31,620, you just add one zero

8 0

3 years ago

Read 2 more answers

To determine the density of grains, a student uses a 50ml beaker graded by 5ml increments and a scale with 1g absolute uncertain

labwork [276]

Answer:

The mass of the grains = 120 ± 1 g

Step-by-step explanation:

we are given the following:

Total mass of container + grains = 185 grams

Mass of container = 65 grams

Therefore, mass of grains is calculated as follows:

Mass of grains = ( Mass of container + grains) - mass of container

= 185 - 65 = 120 grams.

since the scale has an absolute uncertainty of 1 g, the mass of the grains is written as 120 ± 1 g

8 0

4 years ago