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3 years ago

What is the perimeter of a square if the length of one of the diagonals is 12 cm?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem to find the length of the square.

Length of the square = a

a² +a² = diagonal²

2a² = 12²

2a² = 144

a² = 144 ÷ 2

a² = 72

$a =\sqrt{72}\\\\ = \sqrt{2*2*2*3*3}\\\\ = 2*3\sqrt{2}\\\\a = 6\sqrt{2}\\\\\\\\Perimeter= 4a\\\\ = 4*6\sqrt{2}\\\\= 24\sqrt{2} cm$

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Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels

MatroZZZ [7]

Answer:

0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of grabbing a nickel:

19 nickels out of 17+10+19+23 = 69 coins, so:

$P(A) = \frac{19}{69}$

Probability of grabbing a penny, considering the first coin grabbed was a nickel:

17 pennies out of 68 coins. So

$P(B|A) = \frac{17}{68} = \frac{1}{4}$

What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny?

$P(A \cap B) = P(A)P(B|A) = \frac{19}{69} \times \frac{1}{4} = \frac{19}{69*4} = 0.0688$

0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.

6 0

3 years ago

If John has 5 apples and gives away 3 how many apples does he have?

mash [69]

if this is some kind of riddle then i think its 5

3 0

3 years ago

Read 2 more answers

5. Angela drove to Florida for Spring Break. It took her two days. The first leg of her trip

Vadim26 [7]

Answer:

She drove 468.1 miles.

Step-by-step explanation:

315.8 + 152.3

4 0

3 years ago

41) Gabriella invests $8,193 in a retirement

nataly862011 [7]

Answer:

Option C. $\$34,252.67$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=18\ years\\ P=\$8,193\\ r=0.08\\n=6$

substitute in the formula above

$A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67$

4 0

4 years ago

Write an equation for each line.

Minchanka [31]

Answer:

green is y = x + 4

yellow is x = 1

blue is y = -2x + 4

6 0

3 years ago