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2 years ago

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place

1 answer:

8 0

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}$

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Find an equation for the line that passes through the points (-6, 3) and (6, -6).

MrRissso [65]

Slope=-9/12 = -3/4

y=mx+b y=-3/4x+b

3=-3/4(-6)+b

b=3+9/2=7.5

Equation is y=-0.75x+7.5

7 0

2 years ago

Read 2 more answers

one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find th

9966 [12]

Answer:

$Area = 968000cm^2$

Step-by-step explanation:

To be able to answer this question properly. I'll assume the length of the room is in meters.

So for the room, we have:

$Length = 12.8m$

$Breadth = 850cm$

For the bed, we have:

$Length = 300cm$

$Breadth = 400cm$

First, we calculate the surface area of the room.

$A_1 = 12.8m * 850cm$

Convert all units to cm

$A_1= 12.8*100cm * 850cm$

$A_1= 1 088 000 cm^2$

Next, we calculate the area of the bed

$A_2 = 300cm * 400cm$

$A_2 = 120000cm^2$

The area of the space left is the difference between A1 and A2

$Area = A_1 - A_2$

$Area = 1088000cm^2 - 120000cm^2$

$Area = 968000cm^2$

5 0

3 years ago

Respuesta para 8×-2=-9+7×

den301095 [7]

The answer is x=-7
8x-7x-2=-9
8x-7x=-9+2
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8 0

3 years ago

The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.

Vladimir79 [104]

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

Year 1

x (1 + 20%)
x (1.2)
1.2x

Year 2

1.2x (1 + 25%)
1.2x (1.25)
1.5x

Year 3

1.5x (1 + 30%)
1.5x (1.3)
1.95x

Year 4

1.95x (1 + 10%)
1.95x (1.1)
2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

7 0

2 years ago

Using pythagorean theorem find a, and b, where a is twice of b and the hypotonuse is 5√5

patriot [66]

Measure of Hypotaneous = 5√5

And it's already given that b = 2a

By using pythagoras theorem:

a²+ b² = (5√5)²

Let's substitute for b as 2a in above equation we'll get:

a² + (2a)² = (5√5)²

a² + 4a² = 125
5a² = 125
a² = 25
a = √25 = 5

Therefore,
a= 5
and
b = 2a = 2(5) = 10.

3 0

3 years ago

Read 2 more answers

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place​

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place