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2 years ago

Determine the volume of the picture below. Please help

Mathematics

2 answers:

xenn [34]2 years ago

8 0

Answer:

6825 in

Step-by-step explanation:

Since the shape is a composite figure, we need to break it up into 2 shapes!

Rectangle and a triangular prism

Solving for Rectangle...

Volume = Length · Width · Height

Volume = 30 · 13 · 13

Volume = 5070 in

Solving for Triangular Prism

Volume = Length · Width · Height / 2

Volume = 30 · 9 · 13 / 2

Volume = 3510/2

Volume = 1755 in

Finally, add the volumes!

5070 + 1755 = 6825 in

Vlada [557]2 years ago

4 0

The answer to this question is D

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Which statement is true?

defon

Answer:

b. Multiplying decimals less than one is finding a part of a part.

Step-by-step explanation:

A part of a given number implies a selected part of a given number which can be expressed as a fraction of the number. Example, the half of any number is $\frac{1}{2}$ .

The product of a part and another part can be expressed as;

$\frac{1}{3}$ x $\frac{2}{3}$ = $\frac{2}{9}$

or,

$\frac{1}{2}$ x $\frac{1}{2}$ = $\frac{1}{4}$

or,

$\frac{1}{2}$ x $\frac{2}{3}$ = $\frac{2}{6}$ = $\frac{1}{3}$

The three examples shows: a part x a part.

Therefore, it would be observed that multiplying decimals less than one is the same as finding a part of a part.

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Cunderline%7B%20%5Ctext%7Bquestion%7D%7D%7D%20%3A%20" id="TexFormula1"

steposvetlana [31]

Answer:

See Below.

Step-by-step explanation:

In the given figure, AP = BP = PC.

And we want to prove that ∠ABC is a right angle.

Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.

By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be x°.

Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.

And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to x°.

And since the sum of the interior angles of a triangle total 180°, we acquire:

$\angle PAB+\angle PBA+\angle PCB+\angle PBC=180$

Since they are all equivalent:

$4x=180$

Hence:

$x=45^\circ$

∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:

$\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ$

8 0

2 years ago

Read 2 more answers

1. 4x-8+2x+-5x+x²-3= 2.3x+5x= 3.2r+4+3x-2= 4.3x-2y-x+5y= 5.2y²-8y³+5y-5y²+4y³=

Marrrta [24]

1. 4x - 8 + 2x + (-5x) + x^2 - 3 = 4x - 8 + 2x - 5x + x^2 - 3...now, we just combine like terms....lets group them...it will be easier ...x^2 + (4x + 2x - 5x ) - 8 - 3 = x^2 + x - 11

2. 2x + 5x = 8x

3. 2r + 4 + 3x - 2 = 3x + 2r + (4 - 2) = 3x + 2r + 2

4. 3x - 2y - x + 5y = (3x - x) + (5y - 2y) = 2x + 3y

5. 2y^2 - 8y^3 + 5y - 5y^2 + 4y^3 = (4y^3 - 8y^3) + (2y^2 - 5y^2) + 5y =
-4y^3 - 3y^2 + 5y

3 0

3 years ago

Find the value of x and y

Ket [755]

A line has the angle of 180°

I'm going to assume that blurry number is a 35, but you can use this for any situation

180 - 35 = 145°

Angle x and y are the same

3 0

3 years ago

What is the length of side XY as shown on the coordinate plane?

mamaluj [8]

Answer:

4 units

Step-by-step explanation:

i took the test :) gl

7 0

3 years ago