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Masteriza [31]
3 years ago
5

The formula for the volume of a sphere is Upper V equals four thirds pi r cubedV=

Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\quad 
\begin{cases}
r=radius=\frac{diameter}{2}\\
d=diameter\\
----------\\
d=10\\
r=5
\end{cases}\implies V=\cfrac{4\pi \cdot 5^3}{3}


now, that rounded to 2 decimals is just 523.60
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Find the area of the polygon defined by the coordinates (0,-5),(-5,0),(-15,-20),and(-20,-15)
alekssr [168]

Area of the polygon defined by the given points is 62.5 sq units

Step-by-step explanation:

Step 1 :    

Let P be the point (-5,0)  Q = (0,-5), R = (-15,-20) and S = (20,-15)

We have to to find the area of the polygon PQRS

Step 2 :

The area of polygon given the vertices (x(x_{1} ,y_{1} ), (x_{2} ,y_{2})  ... (x_{n} ,y_{n} ) is given by

Area  = mod ( (x_{1} y_{2}  - y_{1}x_{2}) + (x_{2} y_{3}  - y_{2}x_{3}) + ... (x_{n} y_{1}  - y_{n}x_{1}) ) ÷ 2

Where  x_{n} is the vertex n's x coordinate , y_{n} is the vertex n's y coordinate

Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75)  ) ÷ 2

                       = mod (25-75+0-75) ÷ 2

                       = mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units

Step 3 :    

Answer :

Area of the polygon defined by the given points is 62.5 sq units

4 0
2 years ago
Which of the following theorems verifies that triangle STU is congruent to triangle XYZ
Leni [432]

Answer:

B. HL

Step-by-step explanation:

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2 years ago
Someone lmk what the answer is
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3 years ago
4a - 7 = 5 <br> What is the answer 2 step equation
Alex777 [14]

Answer:

A= 3

Step-by-step explanation:

4a - 7 = 5

move the constant to the right

4a= 5+7

divide

4a=12

Awnser:

A= 3

3 0
2 years ago
What single transformación maps ABC onto ABC ?
Thepotemich [5.8K]

Answer:

a reflection across y-axis then translation of 1 unit right and 2 units up.

a clockwise rotation of 180° about the origin then a translation of 1 unit right and 3 units up

a reflection across y-axis then translation of 1 unit right and 1 unit down

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Step-by-step explanation:

6 0
3 years ago
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