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melisa1 [442]
3 years ago
10

Find the volume HELP ASAP !

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0

Answer:

69.73 (units)

Step-by-step explanation:

Let's find the volume of the prism first.

Prism:

The dimensions of this prism are 6 x 5 x 4.

The formula to calculate the volume of this prism is b * h

b = 24 (6*4)

h = 5

V = 24 * 5

V = 120

Now we need to find the volume of the hole so that we can subtract it from the volume of the prism.

Cylinder:

The hole is a cylinder, with a height of 4 and a radius of 2.

The formula for finding the volume of a cylinder is πr^2 * h

r = 2

h = 4

V = (π * 2^2) * 4

V = 50.27

Now, subtract the volume of the cylinder from the volume of the prism:

120 - 50.27 = 69.73

And that is your answer!

Hope this helps!

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<em>See my above explanation</em>

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A lighthouse is located on an island 200 feet from the shore of the mainland as
Deffense [45]

Answer: Approximately d = 208.72

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

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

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4 0
2 years ago
If a solution has 24g of sugar in 130ml of water, what is its concentration?
Jobisdone [24]

Answer: concentration = 15.58%

Step-by-step explanation:

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3 0
3 years ago
Question. 1 :
vovikov84 [41]
<h3>Answer to Question 1:</h3>

AB= 24cm

BC = 7cm

<B = 90°

AC = ?

<h3>Using Pythagoras theorem :-</h3>

AC^2 = AB^2 + BC ^ 2

AC^2 = 24^2 + 7^2

AC^2 = 576 + 49

AC^2 = √625

AC = 25

<h3>Answer to Question 2 :-</h3>

sin A = 3/4

CosA = ?

TanA = ?

<h3>SinA = Opp. side/Hypotenuse</h3><h3> = 3/4</h3>

(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)

<h3>Using Pythagoras theorem :-</h3>

AC^2 = AB^2 + BC ^ 2

4² = AB² + 3²

16 = AB + 9

AB = √7cm

<h3>CosA = Adjacent side/Hypotenuse</h3>

= AB/AC

= √7/4

<h3>TanA= Opp. side/Adjacent side</h3>

=BC/AB

= 3/√7

4 0
2 years ago
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