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Amanda [17]
3 years ago
15

A cylinder has a height of 5.3cm and a diameter of 3.0cm. What is its volume

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0

Answer:

44.53

Step-by-step explanation:

I'm smort

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10 points! Please help if able!
TEA [102]

The 30/60/90 right triangle is the biggest cliche in trig.  We recall the sides come in ratio 1:\sqrt{3}:2

1:\sqrt{3}:2 = x:y:4\sqrt{2}

First x:

\dfrac x 1 = \dfrac{4 \sqrt{2}}{2}

x = 2 \sqrt 2

Next y:

\dfrac{y}{\sqrt{3}} =\dfrac{x}{1}

y= 2 \sqrt{2} \sqrt{3} = 2 \sqrt{6}

Choice C


3 0
3 years ago
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
A circle with radius 142.5 has an arc with a 24 degree angle. What is the length of the arc?
MissTica

Answer:  59.690260418206

The result is approximate. Round that value however you need to.

===========================================================

Explanation:

For a circle with radius r = 142.5, the full distance around the edge (aka perimeter aka circumference) is found by using the formula below.

C = 2*pi*r

C = 2*pi*142.5

C = 895.353906273091

That value is approximate. I used my calculator's stored value of pi to get the most accuracy possible.

That value of roughly 895 represents the distance around a full circle of that radius, but we only want a 24 degree pizza slice.

In other words, we want 24/360 = 1/15 of the full perimeter

(1/15)*895.353906273091 = 59.690260418206

5 0
2 years ago
Read 2 more answers
The BlueSky Airlines has sold tickets for his plane to travel from Savannah to Atlanta. This plane carries 115 passengers. Howev
oee [108]

Answer:

it would be day 4 because if u add all of the tickets up once you get to day 5 it goes over 115

Step-by-step explanation:


8 0
3 years ago
What is the area, in square units, of trapezoid AEDC shown below?
just olya [345]
20 • 12 is 240
1/2 • 12 • 4 is 24
so 264
7 0
3 years ago
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