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2 years ago

Which statement best describes how to verify the Pythagorean Theorem using this drawing?

Mathematics

2 answers:

liberstina [14]2 years ago

7 0

Answer:

Either A or D

Step-by-step explanation:

Because if you put the area of the two smaller squares together it would equal that one big square.

I don't know if this is right just a tough guess but I hope this helps!

And Good Job for almost being completed!

sveta [45]2 years ago

4 0

D, because a^2 + b^2 is c^2

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Read two-way relative frequency tables.

zalisa [80]

Answer:

1 / 4= 25%

Step-by-step explanation:

The percent of graduates in the sample had an income under $20,000

= Posibility of had an income under $20,000 / total posible outcomes

= 75 / 300

= 1 / 4= 25%

Hope this helped :3

5 0

3 years ago

The Rotation maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^3

Digiron [165]

Answer:

the correct answer you are looking for is D

Step-by-step explanation:

6 0

3 years ago

An account earns 10% annual compound interest. The amount in the account after t years is equal to the principal times the expre

Katarina [22]

Assuming that means 1.10^t:

0.10 is for years. To get months divide by 12.
0.10/12 = 0.0083333...
And (1+0.083333...) = 1.0833333. (You will have to multiply t by 12 also to get it in terms of months)
(1.0833333)^12t

7 0

4 years ago

A closed box with a square base is to have a volume of 171 comma 500 cm cubed. The material for the top and bottom of the box co

Zepler [3.9K]

Answer:

$C(x)=\dfrac{20x^3+1715000}{x}\\$Minimum cost, C(35)=\$29,400$

The dimensions that will lead to minimum cost of the box are a base length of 35 cm and a height of 140 cm.

Step-by-step explanation:

Volume of the Square-Based box=171,500 cubic cm

Let the length of a side of the base=x cm

Volume $=x^2h$

$x^2h=171,500\\h=\dfrac{171500}{x^2}$

The material for the top and bottom of the box costs $10.00 per square centimeter.

Surface Area of the Top and Bottom $=2x^2$

Therefore, Cost of the Top and Bottom $=\$10X2x^2=20x^2$

The material for the sides costs $2.50 per square centimeter.

Surface Area of the Sides=4xh

Cost of the sides=$2.50 X 4xh =10xh

$\text{Substitute h}$=\dfrac{171500}{x^2} $into 10xh\\Cost of the sides=10x(\dfrac{171500}{x^2})=\dfrac{1715000}{x}$

Therefore, total Cost of the box

$= 20x^2+\dfrac{1715000}{x}\\C(x)=\dfrac{20x^3+1715000}{x}$

To find the minimum total cost, we solve for the critical points of C(x). This is obtained by equating its derivative to zero and solving for x.

$C'(x)=\dfrac{40x^3-1715000}{x^2}\\\dfrac{40x^3-1715000}{x^2}=0\\40x^3-1715000=0\\40x^3=1715000\\x^3=1715000\div 40\\x^3=42875\\x=\sqrt[3]{42875}=35$

Recall that:

$h=\dfrac{171500}{x^2}\\Therefore:\\h=\dfrac{171500}{35^2}=140cm$

The dimensions that will lead to minimum costs are base length of 35cm and height of 140cm.

Therefore, the minimum total cost, at x=35cm

$C(35)=\dfrac{20(35)^3+1715000}{35}=\$29,400$

8 0

3 years ago

What is -0.37 written as a rational number <br> Please help I would really appreciate it.

Bad White [126]

Answer:

1,000,000.0000001 - rational

Step-by-step explanation:

3 0

3 years ago