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3 years ago

The volume of a cylinder is 1.54 litre. If the height is 20 cm

Mathematics

2 answers:

antoniya [11.8K]3 years ago

7 0

2096 is the real answer maybe

11111nata11111 [884]3 years ago

5 0

Answer:

Radius = 4.95 cm

Step-by-step explanation:

I am assuming you need the radius of the base of the cylinder.

Volume = 1.54 * 1000 = 1540 cm^3

Volume = πr^2h so:

1540 = π*r^2*20

r^2 = 1540/20 π = 24.510

r = 4.95 cm.

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The rule T 5, -0.5° Ro, 1800(x, ) is applied to FGH to

Yuki888 [10]

Answer:

Step-by-step explanation:

Given rule for the multiple translations is,

$T_{5,-0.5}.R_{0.180^{\circ}}(x,y)$

Apply the rule $R_{0,180^{\circ}}$ first.

(x, y) → (-x, -y)

This rule illustrates a rotation of the triangle FGH by 180° about the origin,

Vertices of ΔFGH are,

F → (1, 1)

G → (4, 5)

H → (5, 1)

After rotation vertices of the image triangle are,

F' → (-1, -1)

G' → (-4, -5)

H' → (-5, -1)

Further apply the rule,

$T_{5,-0.5}$

(x, y) → (x + 5, y - 0.5)

By this rule of translation,

F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}

→ F"(4, -1.5)

G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]

→ G"(1, -5.5)

H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]

→ H"(0, -1.5)

8 0

2 years ago

A student is 7 years old. If you triple the teachers age and add the student's age the answer is 163. How old is the teacher?

pogonyaev

Answer:

Step-by-step explanation:

We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:

$3x + 7 = 163$

We want to isolate the variable, so subtract 7 from both sides. This gives us:

$3x = 156$

Finally, we divide both sides by 3, giving:

$x=52$

So the teacher is 52 years old.

Hope this helps!

4 0

3 years ago

Read 2 more answers

Emily deposits $14,500 each year into a retirement account with a 7% simple interest rate. If she deposits the same amount each

soldier1979 [14.2K]

Hello! I believe she would have 58,000 at the end of her fourth year. Hope this helps. :)

6 0

3 years ago

Read 2 more answers

Sara and Paul are on opposite sides of a building that a telephone pole fell on. The pole is leaning away from Paul at

r-ruslan [8.4K]

Answer:

a) See figure attached

b) $x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

c) $h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

Step-by-step explanation:

Part a

We can see the figure attached is a illustration for the problem on this case.

Part b

For this case we can use the sin law to find the value of r first like this:

$\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}$

$r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft$

Then we can use the same law in order to find the valueof x liek this:

$\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}$

$x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

And that represent the distance between Sara and Paul.

Part c

For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

$sin (59) = \frac{h}{35}$

And if we solve for h we got:

$h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

5 0

3 years ago

Find the arc length, x, when

Arte-miy333 [17]

The arc length of the circle is 5π/9 units

<h3>How to determine the arc length?</h3>

From the question, we have the following parameters

Angle, ∅ = 5π/9

Radius, r = 1 unit

The arc length (x) is calculated as

x = r∅

Substitute the known values in the above equation

x = 5π/9 * 1

Evaluate the product

x = 5π/9

Hence, the arc length of the circle is 5π/9 units

The volume of a cylinder is 1.54 litre. If the height is 20 cm ​

The volume of a cylinder is 1.54 litre. If the height is 20 cm