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3 years ago

Are the square Park is 42.25 cm².find the length of one side of the park

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

7 0

The length of one side of the park is $6.5 \ cm$

Explanation:

It is given that the area of the square park is $42.25 \ {cm}^{2}$

The length of one side of the park can be determined using the area of the square formula which is given by

$Area = a^2$

To find the length of one side of the park, we need to substitute the value of the area of the square in the given formula.

Hence, substituting $Area = 42.25$ in the above formula, we get,

$42.25=a^2$

Taking square root on both sides of the equation, we get,

$\sqrt{42.25} =a$

Simplifying, we have,

$6.5=a$

Thus, the length of one side of the square park is $6.5 \ cm$

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Convert (10111)2 into decimal number system

Eva8 [605]

Answer:

$(10111)_2 = (23)_{10}$

Step-by-step explanation:

$(10111)_2 = (1 \times 2^4) + (0 \times 2 ^3) + (1 \times 2^2) + (1 \times 2) + (1 \times 2^0)$

$= 16 + 0 + 4 + 2 + 1\\=23$

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3 years ago

Problem 9

lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at $\frac{1}{4}$ capacity, we can use the equation:

$\frac{1}{4} * 12 = \boxed{3}$

This shows $\frac{1}{4}$ of his tank's capacity ( $12$ ) is equal to $3$ gallons. This means he will stop for gas when $3$ gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

$\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}$

This is a simple proportion, and now we know he uses $2.5$ gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has $7$ gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

$\frac{7-3}{2.5} = 1.6$

The $7-3$ is because Leon doesn't stop when his tank is empty, he stops $3$ gallons earlier. We are dividing by $2.5$ because that is how much gas he uses per hour, meaning the result of this division ( $1.6$ ) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

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( $1.6$ hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

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2 years ago

Find the value of x in the equation √ x + 5 = √ x + 45.

Ivanshal [37]

There is no solution since 5 doesn't equal 45

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3 years ago

Help please helpp ohh god

gtnhenbr [62]

i feel your pain though :/

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4 years ago

Read 2 more answers

Charlie gathers apples, pears, and plums. The numbers of apples and plums are 10-partners. There are the same number of apples a

aalyn [17]

Answer:

<u>The total number of pieces of fruit that Charlie can gather ranges from 11 to 19.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Numbers of apples and plums are 10-partners, it means that the sum of apples and plums is 10.

Number of apples and pears are the same.

2. How many pieces of fruit can Charlie gather?

Apples = a

Plums = p

Pears = s

a + p = 10

Possible values of a and p:

1 + 9, 2 + 8, 3 + 7, 4 + 6, 5 + 5, 6 + 4, 7 + 3, 8 + 2, 9 + 1

Possible values of s:

1, 2, 3, 4, 5, 6, 7, 8, or 9

<u>Therefore, the total number of pieces of fruit that Charlie can gather ranges from 11 to 19.</u>

7 0

4 years ago

Are the square Park is 42.25 cm².find the length of one side of the park​

Are the square Park is 42.25 cm².find the length of one side of the park