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Kay [80]
3 years ago
14

Explain how you can find the volume of the figure below. Then, solve- what is the volume of the figure? Make sure to include you

r units

Mathematics
2 answers:
mote1985 [20]3 years ago
6 0

Answer: a) The figure can be reasonably divided into two geometries:

• a rectangular prism

• a hemisphere.

b) The volume of the rectangular prism is given by

  V = lwh

  V = (10 cm)(5 cm)(4 cm) = 200 cm³

The volume of the hemisphere is given by

  V = (2π/3)r³

  V = (2π/3)(3 cm)³ = 18π cm³

c) The total volume of the figure is

  total volume = (prism volume) + (hemisphere volume)

  V = 200 cm³ + 18π cm³

  V ≈ 256.549 cm³

Step-by-step explanation:

igomit [66]3 years ago
6 0

Answer:

The awnser is 24

Step-by-step explanation:

Each cube contains 8 units and there are 3 cubes so 3 times 8 would be 24

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torisob [31]

Answer:

A. Square for Ape.x

Step-by-step explanation:

8 0
3 years ago
If neither a nor b are equal to zero, which answer most accurately describes the product of (a + bi)(a - bi)?
Scrat [10]

Answer:  the correct option is

(D) The imaginary part is zero.

Step-by-step explanation:  Given that neither a nor b are  equal to zero.

We are to select the correct statement that accurately describes the following product :

P=(a+bi)(a-bi)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following formula :

(x+y)(x-y)=x^2-y^2.

From product (i), we get

P\\\\=(a+bi)(a-bi)\\\\=a^2-(bi)^2\\\\=a^2-b^2i^2\\\\=a^2-b^2\times (-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\=a^2+b^2.

So, there is no imaginary part in the given product.

Thus, the correct option is

(D) The imaginary part is zero.

3 0
3 years ago
Completely lost ! Need Help With This !
almond37 [142]
The ratio from 80 to 5 would be 16. so divide 144 by 16 and you get 9. Answer:9
5 0
3 years ago
Read 2 more answers
If AB= 5 what is the exact length of BD in square ABCD ​
Afina-wow [57]

Answer:

sqrt 50

Step-by-step explanation:

First of all this is a square so if AB = 5, then AD is also 5.

Let's get rid of the other triangle and only focus on triangle ABD.

Using Pythagorean theorem we are able to solve this problem.

The Pythagorean Theorem basically states that:

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.

Substitute these numbers in: 5^2 + 5+2 = c^2

Solve: 50 = c^2

c= sqrt 50

^ and that is our answer!

5 0
3 years ago
The first four terms of a sequence are shown.
sdas [7]
A+(n-1)d=nth term
a----first term(260)
d----common difference(-52)
Hope it helps!!
4 0
3 years ago
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