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Andreas93 [3]
3 years ago
7

2^5/2 –2^3/2 please help me solve step by step please.

Mathematics
1 answer:
Ivan3 years ago
4 0
So 2^{ \frac{5}{2} } is the same as \sqrt{ 2^{5} } and therefore 2^{ \frac{3}{2} } is \sqrt{ 2^{3} }. 

So.. the \sqrt{32} minus \sqrt{8}.

We can pull a 4 out of the 32 to make 4\sqrt{2} as 16 times 2 is 32
We can pull a 2 out of the 8 to make 2\sqrt{2}. 
Now they have like bases, so to speak, and 4-2 is 2.
So the answer is 2\sqrt{2}.
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Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.
Ilia_Sergeevich [38]

The volume of the cone is  84.9 km³

<h3>How to find the volume of a cone?</h3>

Volume of a cone = 1 / 3 πr²h

where

  • h = height
  • r = radius

Therefore,

radius = 3 km

height = √9.5² - 3²

height = √81.25

height = 9.01387818866

height = 9.014 km

Volume of a cone = 1 / 3 × 3.14 × 3² × 9.014

volume of the cone = 254.732197612 / 3

volume of the cone = 84.9107325372

volume of the cone = 84.9 km³

learn more on volume here: brainly.com/question/17075150

#SPJ1

7 0
2 years ago
In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?
DiKsa [7]

Answer:

L(18, 20)

Step-by-step explanation:

In JL, K is the midpoint. The coordinates of J are (2, 2), and the

coordinates of K are (10, 11). What are the coordinates of L?

Solution:

If O(x, y) is the midpoint between two points A(x_1,y_1) and B(x_2,y_2). The equation to determine the location of O is given by:

x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let (x_2,y_2) be the coordinate of L. Therefore:

10=\frac{2+x_2}{2} \\\\20=2+x_2\\\\x_2=18

11=\frac{2+y_2}{2} \\\\22=2+y_2\\\\y_2=20

Therefore L = (18, 20)

4 0
3 years ago
A family of three children and two adults visited a health club. The club charges $y an hour for each child and $x an hour for e
storchak [24]

Answer:

The first graph would be correct

Step-by-step explanation:

7 0
3 years ago
Can someone plz explain this?
VMariaS [17]

Answer:

Step-by-step explanation:

Mental abuse to humans

4 0
3 years ago
The volume of the cylinder above is 2,314.25, and the radius of the base is 8.9 Find the volume of the cone.
olga55 [171]

Answer: 771.41\ units^3

Step-by-step explanation:

The missing figure is attached.

The volume of an oblique cylinders and the volume of  a right cylinder can be found with this formula:

V_{cy}=\pi r^2h

Where "r" is the radius and "h" is the height.

The volume of an oblique cone and the volume of  a right cone can be found with this formula:

V_{co}=\frac{1}{3}\pi r^2h

Where "r" is the radius and "h" is the height.

According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:

V_{cy}=2,314.25\ units^3\\\\r=8.9\ units

Therefore, in order to find the volume of the cone, you only need to multiply the volume of the cylinder by \frac{1}{3}.

Then, you get:

V_{co}=\frac{1}{3}(2,314.25\ units^3)\\\\V_{co}=771.41\ units^3

8 0
3 years ago
Read 2 more answers
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