the perimeter of a square is 56 cm. what is the approximate length of its diagonal? 10.6 cm 14.0 cm 15.0 cm 19.8 cm

Answers

Answer 1
Answer:

we know that

Perimeter\ of\ a\ square=4b

where

b is the length side of a square

Step 1

Find the length side b of a square

P=56cm\n P=4b\n 56=4b\n b=56/4\n b=14cm

Step 2

Find the length of the diagonal of a square

Applying the Pythagorean Theorem

D=\sqrt{b^(2)+b^(2)}   \n D=\sqrt{14^(2)+14^(2)}\n D=14√(2) cm\n D=19.80cm

therefore

the answer is

19.80cm



Answer 2
Answer: The answer to this problem is 19.8

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What is a simpler form of the radical expression? sqrt 36g^6 A. 36|g^3| B. 36g^4 C. 6|g^3| D. 6g^4

Answers

Answer:

Lesson 1 Unit 2: Roots and Radical Expressions

1 = a (no real root)

2 = c (-0.05)

3 = c (6lg^3l)

4 = d (5x^7y^8)

5 = a (3x^2/5y)

5/5 100%

Step-by-step explanation:


First we write down this expression:
\sqrt{36* g^(6) }
We notice that 36 is a square of 6 so we write:
\sqrt{ 6^(2)*g^6 }

Now, square root we imply on each of factors (g^6 and 6 ^2)
we get.
6*|g^3|
The reason for absolute value is because of variable g.

Answer is C.

2+5*___=33
Figure out the blank.

You can use exponents

Answers

Answer:

6.2

Step-by-step explanation:

2+5*x=33

5*x=33-2

5*x=31

X=31/5

X=6.2

6.2 should be the answer

Greenland, the largest island in the world, is 21 times larger than Iceland. The combined area of Greenland and Iceland is 880,000 mi2. Write an equation to find the area of Greenland. (Use g to represent the area of Iceland.)

Answers

Greenland is x
Iceland is g

g + x = 880,000   
x = 21g

Solve both equations for x (Greenland)
x = 880,000 - g
x = 21g

Because of the transitive property, which states that for any real numbers a, b, and c: If a = b and b = c, then a = c, you can set the two things that equal x equal to each other.
21g = 880,000 - g

Then you simplify.
21g = 880,000 - g
21g + g = 880,000 -g +g
22g = 880,000

Eli has $148 in the bank. He deposits $8 at the end of each week. Peyton has $260 in the bank. He withdraws $6 at the end of each week. How many weeks will it take for them to have the same amount in the bank?

Answers

It would take 8 weeks for them to have the same amount in the bank.

$148 +$8 every week:     $260 -$6 every week:

Week 1: $156                    $254

Week 2: $165                   $248

Week 4: $180                    $236

Week 6: $196                    $224

Week 8: $212                     $212

I don’t know how to answer this

Answers

Answer:

m∠1=66

m∠3=66

m∠4=114

Step-by-step explanation:

m∠1+m∠2=180

m∠1+114=180

m∠1=66

m∠1=m∠3

66=m∠3

m∠4=m∠2

m∠4=114

Calculate the rate of power drainage per hour if the capacity of the cell phone is 3 600 mAh?

Answers

The rate οf pοwer drainage per hοur is 13.32 watts per hοur οr 13.32 Wh (watt-hοurs) per hοur.

What is the basic mathematical οperatiοns?

The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Tο calculate the rate οf pοwer drainage per hοur, we need tο knοw the pοwer cοnsumptiοn οf the cell phοne. Let's assume that the pοwer cοnsumptiοn οf the phοne is cοnstant and equal tο P watts.

The capacity οf the cell phοne battery is 3,600 mAh, which means that it can supply a current οf 3,600 mA (milliampere) fοr οne hοur. Using Ohm's law, we can express the pοwer cοnsumptiοn in terms οf the current and vοltage:

P = I × V

where I is the current and V is the vοltage.

The vοltage οf a typical cell phοne battery is arοund 3.7 vοlts. Therefοre, the current drawn by the phοne is:

I = 3,600 mA = 3.6 A

t = 1 hοur

The pοwer cοnsumptiοn οf the phοne is:

P = I × V = 3.6 A × 3.7 V = 13.32 W

Hence, the rate οf pοwer drainage per hοur is 13.32 watts per hοur οr 13.32 Wh (watt-hοurs) per hοur.

To learn more about basic mathematical operations, Visit

brainly.com/question/20628271

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