MATHEMATICS MIDDLE SCHOOL

Halla la medida del lado de un cuadrado cuya diagonal es de 14 cm​

Answers

Answer 1
Answer:

Answer:

The length side of the square is 7√(2)\ cm

Step-by-step explanation:

The question in English is

Find the measure of the side of a square whose diagonal is 14 cmd

Let

d ----> the diagonal of a square in cm

b ---> the length side of a square in cm

we know that

Applying the Pythagorean Theorem

see the attached figure to better understand the problem

d^2=b^2+b^2

d^2=2b^2

we have

d=14\ cm

substitute the given value

14^2=2b^2

solve for b

196=2b^2

98=b^2

take square root both sides

b=√(98)\ cm

simplify

b=7√(2)\ cm

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A wide screen television display measures approximately 15 inches high and 27 inches wide. A television is advertised by giving the approximate length of the diagonal of its screen. How should the television be advertised?A) 36 in.
B) 31 in.
C) 30 in.
D) 21 in.

Answers

The answer would be 31 in.

First do the Pythagorean theorem. 

225+ 729= 954

Then find the square root of 954 which is 30.88 repeating, so round up to 31 in.
The answer would be B) 31 in.

Mercury Orbits the sun in 87 24/25 earth days. Venus Orbits the sun in 224 7/10 Earth days, and Mars Orbits the sun in 686 49/50 days. Write each mixed number as a decimal.

Answers

Mercury: 87 24/25
Venus 224 7/10
Mars 686 49/50

All we need to do is to convert fractions so they have a denominator of 10, 100, 1000 etc.

87 24/25 = 87 96/100
224 7/10 stays the same
686 49/50 = 686 98/100

Now we can easily convert them into decimals:

Mercury: 87.96
Venus: 224.7
Mars: 686.98

The correct answers are:

87.96; 224.7; 686.98.

Explanation:

In order to write these numbers as decimals, we need to convert the fractions to fractions with denominators of 10, 100, or 1000.

224 7/10 already has a denominator of 10; this makes it 224.7.

For 87 24/25, we can multiply the denominator by 4 to make 100.  Doing that means we need to multiply the numerator by 4 as well:

87 (24*4)/(25*4) = 87 96/100 = 87.96

For 686 49/50, we can multiply the denominator by 2 to make 100.  Doing that means we need to multiply the numerator by 2 as well:

686 (49*2)/(50*2) = 686 98/100 = 686.98

Which shows the prime factorization of 36? i dont understand i need help asap
A.
2 • 2 • 2 • 3

B.
2 • 2 • 3 • 3

C.
2 • 2 • 9 • 1

D.
2 • 3 • 3 • 3

Answers

a= 24
b= 36
c= 36 
d= 54 

Evaluate, 16×1+4(18÷2-9)

Answers

16×1+4(18÷2-9)

16×1+4(9-9)

16×1+4(0)

16×1

16

A 2-inch-wide frame is to be built around theregular decagonal window shown. At what angles a and bshould the corners of each piece be cut?

Answers

The angles should at 144°

What is a decagon?

A decagon is a 2D shape, or polygon that has 10 straight sides, 10 vertices (points), and 10 interior angles.

Given that, A 2-inch-wide frame is to be built around the regular decagonal window

External angles add up to 360

so each external angle = 360/10 = 36 degrees

internal angle = 180 - 36  = 144 degrees

Hence, angles at the corners are 144 degrees

For more references on decagon, click;

brainly.com/question/27314678

#SPJ2
divide the 360 degrees of a circle by the number of equal angles (10) =36 degrees

Solve for each expression by writing the solution in unit form and in standard form 6 ten thousands divided by 10

Answers

Solve the given equation by writing the solution inUnit form and Standard form.
Given equation = 6 ten thousands divided by 10

Unit form – place Value form
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Standard form- Numerical form
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=> divided = /
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Thus, the answer of 6 ten thousands divided by 10 is equals to 6000
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