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3 years ago

Find the diagonal of a square whose sides are of the given measure. Given = 3/2

2 answers:

8 0

Hi,

The answer to your question is √4.5 = c

(3/2)² + (3/2)² = c²
(3/2)² = 2.25
2.25 + 2.25 = c²
4.5 = c²
√4.5 = c

Hoped I Helped

Arada [10]3 years ago

7 0

We can do this using the Pythagorean Theorem. It states that a² + b² = c²
Knowing the sides a and b to be 3/2, we plug them into the equation to find the diagonal.
(3/2)² + (3/2)² = c²
(3/2)² = 2.25
2.25 + 2.25 = c²
4.5 = c²
√4.5 = c
The diagonal is the √4.5, or as a decimal 2.12

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1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10

Ronch [10]

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

8 0

3 years ago

Read 2 more answers

Math work pls help :)

AveGali [126]

Answer:

History of mathematics

Several civilizations — in China, India, Egypt, Central America and Mesopotamia — contributed to mathematics as we know it today. The Sumerians were the first people to develop a counting system. Mathematicians developed arithmetic, which includes basic operations, multiplication, fractions and square roots. The Sumerians’ system passed through the Akkadian Empire to the Babylonians around 300 B.C. Six hundred years later, in America, the Mayans developed elaborate calendar systems and were skilled astronomers. About this time, the concept of zero was developed.

Step-by-step explanation:which includes basic operations, multiplication, fractions and square roots. The Sumerians’ system passed through the Akkadian Empire to the Babylonians around 300 B.C. Six hundred years later, in America, the Mayans developed elaborate calendar systems and were skilled astronomers. About this time, the concept of zero was developed.

7 0

3 years ago

A drawing of a man is 3 inches high. The actual man is 75

oksano4ka [1.4K]

Answer:

1 to 25

Step-by-step explanation:

the actual person is 25 times the drawing

8 0

3 years ago

The area of a circle (A) is given by the formula A= pi*r to the second power, where r is the radius. The formula to find r is _.

podryga [215]

Answer:

The correct option for the first blank is A. (A/pi) to the power of 1/2

The correct option for the second blank is A. 4.15

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Area of a circle (A) = π * r², where r = radius

2. The formula to find r is ________________:

A = π * r²

r² = A/π

√r² = √ A/π

r = √A/π

r = A/π∧(1/2) or (A/pi) to the power of 1/2.

The correct option for the first blank is A. (A/pi) to the power of 1/2

3. if A = 54 centimeters squared, and pi = 22/7, r is _ centimeters.

We use the formula we got for the first blank, this way:

r = (A/pi) to the power of 1/2

Replacing with the real values, we have:

r = (54/(22/7)) to the power of 1/2

r = 17.2 to the power of 1/2

r = √17.2 = 4.15 (Rounding to the next hundredth)

The correct option for the second blank is A. 4.15

3 0

3 years ago

Twice jacks age plus five is 21. Write and solve an equation. How old is jack

Vera_Pavlovna [14]

Answer:

Jack is 8

Step-by-step explanation:

j= jacks age

2j+5 =21

This is the equation from Twice jacks age plus five is 21

We want to isolate j

Subtract 5 from each side

2j+5 =21

2j+5-5 = 21-5

2j = 16

Divide by 2

2j/2 =16/2

j =8

8 0

3 years ago

Read 2 more answers